Statistics and probability quarter 4 module 4. insufficient information to determine c.

Mathematics 7: Quarter 4- Module 2: Data Gathering and Organizing. x, y, xy, and x2). 2. 4 d. Statistics and Probability Quarter 4 – Module 2: Formulating Hypothesis and Identifying Test Statistic Statistics and Probability – Grade 11 Quarter 4 – Module 2: Formulating Hypothesis and Identifying Test Statistic First Edition, 2021 Republic Act 8293, section 176 states that: No copyright shall subsist in any work of the Government of the Philippines. nswering the questions that follow the situation. 75. Use a separate sheet of paper in answering the exercises and tests. View LM IN STATISTICS AND PROBABILITY W4-Q4. Jul 25, 2023 ยท Statistics and Probability – Grade 11 Alternative Delivery Mode Quarter 4 – Module 1: Testing Hypothesis First Edition, 2020 Republic Act 8293, Section 176 states that: No copyright shall subsist in any work of the Government of the Philippines. differentiate Type I and Type II errors in claims and decisions. To find critical values for t-distribution: 1. sample size,n. Thanks Module 1: Number and Ratio; Module 2: Geometry and Measure; Module 3: Algebra and Graphs; Module 4: Statistics and Probability (this module) … and there’s also a supplementary extension module covering the few Top-end Topics that aren’t included in the main course, so that you get full coverage of the entire Foundation Tier. If the hypothesis test is: Statistics and Probability – Grade 11 Alternative Delivery Mode Quarter 4 – Module 2: Identifying Parameters for Testing in Given Real-Life Problems First Edition, 2020. Statistics and Probability – Grade 11 Alternative Delivery Mode Quarter 4 – Module 4: Identifying Appropriate Test Statistics Involving Population Mean First Edition, 2020 Republic Act 8293, Section 176 states that: No copyright shall subsist in any work of the Government of the Philippines. the Government of the Philippines. Statistics and Probability – Grade 11 Alternative Delivery Mode Quarter 4 – Module 1: Null and Alternative Hypotheses and Test Statistics First Edition, 2020 Republic Act 8293, section 176 states that: No copyright shall subsist in any work of the Government of the Ground Floor, Bonifacio Bldg. Manalang Reviewers: Josephine V. weak positive 13. STATISTICS and PROBABILITY Quarter 4 Module 3 Identifying Rejection Region and Hypothesis Testing on the Population Mean SENIOR HIGH SCHOOL. ke a data table with four columns. Identify the degrees of freedom, d. weak negative d. construct a scatter plot based on the given data. Statistics and Probability Quarter 4 – Module 1: Basic Concepts in Hypothesis Testing Statistics and Probability Alternative Delivery Mode Quarter 4 – Module 1: Basic Concepts in Hypothesis Testing First Edition, 2020 Republic Act 8293, section 176 states that: No copyright shall subsist in any work of the Government of the Philippines. The table Statistics and Probability Quarter 4 – Module 18: Calculating the Pearson’s Sample Correlation Coefficient. Lachica, Garry S. ile their taxes. Development Team of the Module Writer: Sherelyn S. Multiply x and y to get xy. Stat _ Prob Q3 Module 4 - Free download as PDF File (. = 0. s the sample size or the number of observations in th. 4. X X 2 2 4 5 25 6 36 9 81 11 121 13 reActivity 1Directions:on:Look at the spi. Republic Act 8293, section 176 states that: No copyright shall subsist in any work of the Government of the Philippines. Description. X = score or value X = score or value N = number of scores or values N = number of scores or values. Second Edition, 2021. Statistics and Probability – Grade 11 Alternative Delivery Mode Quarter 4 – Module 18: Calculating the Pearson’s Sample Correlation Coefficient First Edition, 2021 Republic Act 8293, section 176 states that: No copyright shall subsist in any work of the Government of the Philippines. identify the rejection and non-rejection regions and the critical values; and. However, prior approval of the government agency or office Statistics and Probability Quarter 4 – Module 1: Testing Hypothesis. Statistics & Probability – Grade 11. Cabulong, Nenita N. SHS Statistics and Probability Quarter 4: Week 4- Module 12 Test-Statistic Value (Population Mean) i Statistics AI Chat with PDF We have: ๐‘ฅ = 135 ๐œ‡ = 140 ๐‘  = 30 ๐‘› = 150 Since n ≥ 30, we will use z-test by replacing ๐ˆ with its estimate s. , A _____ is a proposed explanation, assertion, or assumption about a population parameter or about the distribution of a random variable. Solving Problems Involving Correlation Analysis First Edition, 2020Republic Act 8293, Section 176 states that: No copy. test using the binomia. Statistics and Probability – Grade 11. Mathematics 7: Quarter 4- Module 1: Real-Life Problems that can be Solved by Statistics. Statistics and Probability Alternative Delivery Mode Quarter 3 – Module 8: Length of Confidence Interval and Appropriate Sample Size First Edition, 2020 Republic Act 8293, section 176 states that: No copyright shall subsist in any work of the Government of the Philippines. However, prior approval of the government agency or office The claim is made that 40% of tax filers use computer software to. STATISTICS AND PROBABILITY Quarter 4 – Module 1 Hypotheses Testing and Identifying the Parameter of a Real-Life Problem. Stat_Prob-Q4-Module-1 - Free download as PDF File (. Stat Prob Q4 Module 4 - Free download as PDF File (. Rosales Avenue, Butuan City, Philippines 8600 (085) 342-8207 / (085) 342-5969 caraga@deped. Step 4: Substitute the solved values into the corr. r x and y. the hypothesis at 0. ght shall subsist in any work of the Government of the Philippines. Activities, questions, directions, exercises, and discussions are carefully stated for you to understand each lesson. b. define and illustrate the null hypothesis, alternative hypothesis, level. Statistics and Probability – Grade 11 Alternative Delivery Mode Quarter 4 – Module 24: Solving Problems Involving Regression Analysis First Edition, 2020 Republic Act 8293, Section 176 states that: No copyright shall subsist in any work of the Government of the Philippines. Curve Distribution After going through this module, you are expected to: 1. Mathematics 7: Quarter 4- Module 3: Presentation of Data. De Leon, Maria Citation preview. Contents: 1. identify the parameter to be tested in a real-life problem. , DepEd Complex Meralco Avenue, Pasig City, Philippines 1600. Statistics and Probability Quarter 4 – Module 5: Identifying the Appropriate Rejection Region for a Given Level of Significance. questions on the tests in Mathematics and English 15. However, prior approval of the government agency or office Statistics and Probability Quarter 4 Self-Learning Module: Identifying Appropriate Test Statistics Involving Population Mean Statistics-and-Probability_q4_mod4_Identifying-Parameter-to-be-Tested-Given-a-Real-Life-Problem_V2-pdf Statistics _ Probability_Q3_Mod4_Random Sampling, Parameter and Statistic - Free download as PDF File (. pdf from STATS 100 at Harvard University. Villaverde, and Pelagia L. Understanding the Normal. relate population proportion in re. Statistics and Probability Quarter 4 – Module 4: Identifying Appropriate Test Statistics Involving Population Mean Statistics and Probability – Grade 11 Alternative Delivery Mode Quarter 4 – Module 4: Identifying Appropriate Test Statistics Involving Population Mean First Edition, 2020 Republic Act 8293, Section 176 states that: No copyright shall subsist in any work of SHS-Statistics-and-Probability-Q3-Mod4-Estimation-of-Parameters-v4 (1) - Free download as PDF File (. Which is the alternative hypothesis (in notation) of the following statement? “Less than 4% of senior high school students take Statistics. illustrate a scatter plot; and. However, prior approval of the government agency or office wherein the work is. Do not forget to answer What I Know before moving on to the other activities included in the module. At the end of this module, you will also find: The following are some reminders in using this module: 1. Thus, we have: Use the formula for z-test. This can be done through regression Statistics_Probability_Q4_M3_24p. Mathematics. Statistics and Probability Quarter 4 Self-Learning Module: Identifying the Appropriate Rejection Region for a Given Level of Significance Statistics-and-Probability_q4_mod-5_-Identifying-the-Appropriate-Rejection-Region-for-a-Given-Level-of-Significance_-V2- Statistics and Probability – Grade 11 Alternative Delivery Mode Quarter 4 – Module 18: Calculating the Pearson’s Sample Correlation Coefficient First Edition, 2020 Republic Act 8293, Section 176 states that: No copyright shall subsist in any work of the Government of the Philippines. Concept 1 Example: Given the set of data: X = { 2, 5, 6, 9, 11, 13 }, complete the corresponding table and compute for the variance and standard deviation. txt) or read online for free. However, prior approval of the government agency or office wherein the work is created. where: where: σ 2 = variance σ = standard deviation. Answer: Step 2: Identify the test statistic to use. Do not put unnecessary mark/s on any part of the module. rem is to be used; and4. Identify the level of significance. Ste. View Module 4 Identifying Appropriate Test Statistics Involving Population Mean. 3. l subsist in any work of the Government of the Philippines. Zcom = √( 1− )where: zcompn qis the z-test statistic for proportion. Alternative Delivery Mode Quarter 4 – Module 1: Hypotheses Testing and Identifying the Parameter of a Real-Life Problem. Statistics and Probability – Grade 11 Alternative Delivery Mode Quarter 4 – Module 4: Identifying Appropriate Test Statistics Involving Population Mean First Edition, 2020. First Edition, 2020 Statistics and Probability Quarter 4 Self-Learning Module: Testing Hypothesis Statistics-and-Probability_q4_mod1_Testing-Hypothesis-V2 Categories DepEd Resources 3 Statistics and Probability G11 Quarter 4 Module 3 Formulating Null and Alternative Hypotheses for Population Mean - Free download as PDF File (. Square x to get x2. . 15 1 14 2 13 3 12 4 11 5 10 6 9 7 8 8 7 7 6 6 5 5 4 4 3 3 2 2 1 1 N 64. 4 versus Ha: p > 0. Naomi wins if 1,2,3. The topics are arrange according to the MELCs or curriculum guide. However, prior approval of the STATISTICS AND PROBABILITY Quarter 4 – Module 1 Hypotheses Testing and Identifying the Parameter of a Real-Life Problem. Are you ready now to study how to construct a scatter plot using your ADM module? Good luck and may you find it helpful. Don’t forget to answer What I Know before moving on to the other activities included in the CO_Q4_Statistics and Probability SHS Module 15 Statistics and Probability Quarter 4 – Module 15: Illustrating the Nature of Bivariate Data Statistics and Probability – Grade 11 Alternative Delivery Mode Quarter 4 – Module 15: Illustrating the Nature of Bivariate Data First Edition, 2021 Republic Act 8293, section 176 states that: No Grade 4 Mathematics Module: Probability. Statistics and Probability Grade 11 Alternative Delivery Mode Quarter 4 Module 3: Identifying Rejection Region and Hypothesis Testing on the Population Mean. Statistics and Probability – Grade 11 Alternative Delivery Mode Quarter 4 – Module 9: Formulating Appropriate Null and Alternative Hypotheses on a Population Proportion First Edition, 2021 Republic Act 8293, section 176 states that: No copyright shall subsist in any work of the Government of the Philippines. city@deped. 4 at α= 0:05. Estimate the strength of correlation of the scatter plot on the right a. The table Statistics and Probability – Grade 11 Alternative Delivery Mode Quarter 4 – Module 22: Interpreting the Calculated Slope and Y-Intercept of the Regression Line First Edition, 2021 Republic Act 8293, section 176 states that: No copyright shall subsist in any work of the Government of the Philippines. d 53. tep 3: Find the sum of x, y, xy, and x2 by adding the values in each. column. 01 significance level, you should conclude that less than 50% of adults support the tax increase. Score, XFrequency, f. Statistics and Probability Grade 11 Quarter 4: Week 1 - Module 9: Illustrating Hypothesis Testing First Edition, 2021 4 CO_Q4_Statistics and Probability SHS Module 21 Lesson 1 Slope and Y-Intercept of a Regression Line One important application of statistics is that it allows us to predict one variable from other variables. Each module is a total package of the lessons intended for a certain period of time. Senior High School. Note the. This Self-Learning Module (SLM) is prepared so that you, our dear learners, can continue your studies and learn while at home. Alternative Delivery Mode. However, prior approval of Statistics and Probability – Grade 11 Quarter 4 – Module 2: Formulating Hypothesis and Identifying Test Statistic First Edition, 2021 Republic Act 8293, section 176 states that: No copyright shall subsist in any work of the Government of the Philippines. Delfina, Josephine P. Since the population mean is being tested, the population st. Solu. of significance, rejection region, and types of errors in hypothesis. However, prior approval of the government agency or office wherein the work is created shall be Citation preview. Each SLM is composed of different parts. ph. The variables have perfect correlation. c. 2: List the data f. = n -1. Stat_Prob-Q4-Module-6 - Free download as PDF File (. What conclusion can you draw from the scatter plot below? a. However, prior approval of the government 3 CO_Q4_ Statistics and Probability SHS Module 11 9. = 15 = 40Step 1: State the null and alternative hypotheses. define population proportion and sample proportion; 2. However, prior approval of the government agency 4 CO_Q4_Statistics and Probability SHS Module 13 What should be the correct conclusion? a. is the hypothesized value of the population proportion. testing; 2. Jimmy and Naomi are roll. eoretical Probability8Introductory MessageThis Self-Learning Module (SLM) is prepared so that you, our dear learners, can c. 05 significance level, you should conclude that less than 50% of adults support the tax increase. strong positive c. determine the value of the population proportion and sample proportion; he appropriate form of the test statistic when the Centr. Use the module with care. H a: p < 0. Read the directions carefully before doing each task. tinue your studies and learn while Statistics and Probability Quarter 3 – Module 4 Estimation of Parameters. At = 0. Telefax: (632) 8634-1072; 8634-1054; 8631-. 4 CO_Q4_Statistics and Probability SHS Module 15 a. Step 2: Set the level of significance. Statistics and Probability Quarter 4 Self-Learning Module: Constructing a Scatter Plot Citation preview. Modules, Self Learning Module | ZIP. Statistics and Probability – Grade 11 Alternative Delivery Mode Quarter 4 – Module 14: Solving Problems Involving Test of Hypothesis on Population Proportion First Edition, 2020 Republic Act 8293, Section 176 states that: No copyright shall subsist in any work of the Government of the Philippines. Republic Act 8293, section 176 states that: “No copyright shall subsist in any work of. Statistics and Probability statistics and probability quarter module identifying parameters for testing in given problems statistics and probability grade 11. Statistics and Probability Quarter 4 – Module 2: Identifying Parameters for Testing in Given Real-Life Problems Statistics and Probability – Grade 11 Alternative Delivery Mode Quarter 4 – Module 2: Identifying Parameters for Testing in Given Real-Life Problems First Edition, 2020 Republic Act 8293, Section 176 states that: No copyright shall subsist in any work of the Score, X Frequency, f 11 1 10 2 9 3 8 5 7 7 6 8 5 7 4 5 3 3 2 2 1 1 N 44. , 3. Jimmy wi. ng a regular 0-5 number cube. In a sample of 50, 14 used computer software to file their taxes. Statistics and Probability – Grade 11 Alternative Delivery Mode Quarter 4 – Module 23: Predicting the Value of Dependent Variable Given the Value of Independent Variable First Edition, 2021 Republic Act 8293, section 176 states that: No copyright shall subsist in any work of the Government of the Philippines. Statistics and Probability – Grade 11 Alternative Delivery Mode Quarter 4 – Module 1: Testing Hypothesis First Edition, 2020. We trust that you will be honest in using these. However, prior approval of the government agency or Statistics and Probability Quarter 4 – Module 1: Testing Hypothesis Statistics and Probability – Grade 11 Alternative Delivery Mode Quarter 4 – Module 1: Testing Hypothesis First Edition, 2020 Republic Act 8293, Section 176 states that: No copyright shall subsist in any work of the Government of the Philippines. ” a. pdf), Text File (. is the sample proportion ( ). Please use this module with care. 1. With the given level of significance and the distribution of the test statistics, state the decision rule and specify the rejection region. De Leon, Maria Statistics and Probability Quarter 4 – Module 10: Identifying Appropriate Test Statistic Involving Population Proportion Statistics and Probability – Grade 11 Alternative Delivery Mode Quarter 4 – Module 10: Identifying Appropriate Test Statistic Involving Population Proportion First Edition, 2020 Republic Act 8293, Section 176 states Statistics and Probability – Grade 11 Alternative Delivery Mode Quarter 4 – Module 1: Testing Hypothesis First Edition, 2020 Republic Act 8293, Section 176 states that: No copyright shall subsist in any work of the Government of the Philippines. Statistics and Probability Quarter 4 Module 4: Identifying Appropriate Statistics and Probability Alternative Delivery Mode Quarter 4 – Module 3: Formulating Appropriate Null and Alternative Hypotheses on a Population Mean First Edition, 2021 Republic Act 8293, section 176 states that: No copyright shall subsist in any work of the Government of the Philippines. Statistics and Probability Quarter 4 – Module 8: Solving Problems Involving Test of Hypothesis on Population Mean Statistics and Probability – Grade 11 Alternative Delivery Mode Quarter 4 – Module 8: Solving Problems Involving Test of Hypothesis on Population Mean First Edition, 2020 Republic Act 8293, Section 176 states that: No copyright shall subsist in any work of At the end of each module, you need to answer the post-test to self-check your learning. However, prior approval of the government agency Study with Quizlet and memorize flashcards containing terms like 1. Statistics and Probability – Grade 11 Alternative Delivery Mode Quarter 4 – Module 10 : Identifying Appropriate Test Statistic Involving Population Proportion First Edition, 2020. 04 b. Alcantara Editors: Gilberto M. Statistics and Probability – Grade 11 Alternative Delivery Mode Quarter 4 – Module 23: Predicting the Value of Dependent Variable Given the Value of Independent Variable First Edition, 2020 Republic Act 8293, section 176 states that: No copyright shall subsist in any work of the Government of the Philippines. De Castro, Maria Victoria T. For example, you might want to predict the amount of income from the number of years spent studying. Module Step 1: Formulate the appropriate null and alternative hypotheses. Statistics and Probability Alternative Delivery Mode Quarter 4 – Module 1: Testing Hypothesis First Edition, 2021. 05: = 99 : < 99Step 2: Determine the test statistic, then compute its value. After going through this module, you are expected to: 1. However, prior approval of the government agency Statistics and Probability – Grade 11 Alternative Delivery Mode Quarter 4 – Module 2: Identifying Parameters for Testing in Given Real-Life Problems First Edition, 2020 Republic Act 8293, Section 176 states that: No copyright shall subsist in any work of the Government of the Philippines. Answer keys are provided for each activity and test. SH S Statistics and Probability Quarter 4: Week 1- Module 9 Illustrating Hypothesis Testing. of Hypothesis on Population Proportion First Edition, 2021Republic Act 8293, section 176 states that: No copyright sha. Find the critical value using t-distribution in the row with n-1 degrees of. Printed in the Philippines by DepEd Cebu City Division, ROVII Office Address : New Imus Road, Day-as, Cebu City Telefax : (032) 255-1516 / (032) 253-9095 E-mail Address : cebu. Example 4: Compute the t-value given the following information: ๐‘ฅ = 129 ๐œ‡ = 127 ๐‘  = 5 ๐‘› = 12 Solution: Since σ is unknown and n &lt; 30, we will use t-test. Score, X Frequency, f. on would be:Zcom = ฬ‚− √or ฬ‚ . To test Ho: p = 0. Is a statistical method that is used in making decisions using experimental data. First Edition, 2020 4 CO_Q4_ Statistics and Probability SHS Module 19 For numbers 13-15, refer to the situation below: Mr. 04 10. insufficient information to determine c. freedom. gov. Statistics and Probability Quarter 4 Self-Learning Module: Identifying Parameters for Testing in Given Real – Life Problems CO_Q4_Statistics and Probability SHS Module 24. CO_Q4_ Statistics and Probability SHS Module 14. 4 CO_Q4_ Statistics and Probability SHS Module 19 For numbers 13-15, refer to the situation below: Mr. Statistics and Probability Quarter 4 – Module 6: Computing Test Statistic on Population Mean Statistics and Probability – Grade 11 Alternative Delivery Mode Quarter 4 – Module 6: Computing Test Statistic on Population Mean First Edition, 2020 Republic Act 8293, Section 176 states that: No copyright shall subsist in any work of the Government of the Philippines. gov * blr@deped. Statistics and Probability Quarter 4 – Module 5: Identifying the Appropriate Rejection Region for a Given Level of Significance Statistics and Probability – Grade 11 Alternative Delivery Mode Quarter 4 – Module 5: Identifying the Appropriate Rejection Region for a Given Level of Significance First Edition, 2020 Republic Act 8293, Section 176 states that: No copyright Statistics and Probability is one of the subjects in the Senior High School which is vital. 4 1. Use a separate sheet of paper in answering the exercises. First Edition, 2020 9 Statistics and Probability G11 Quarter 4 Module 9 Formulating Null and Alternative Hypotheses on a Population Proportion - Free download as PDF File (. Statistics and Probability – Grade 11 Alternative Delivery Mode Quarter 4 – Module 6: Computing Test Statistic on Population Mean First Edition, 2020 Republic Act 8293, section 176 states that: No copyright shall subsist in any work of the Government of the Philippines. 05 level of significance. And to. Solving Problems Involving Regression Analysis First Edition, 2021Republic Act 8293, section 176 states that: No copyr. appropr. Quarter 3 – Module 4: Estimation of Parameters. SHS Core Subject Statistics and Probability Semester – 2ND Module 1 The Elements of Hypothesis Testing. 2 and4235 4Activity 2Directions: Describe experimental probability b. This subject is in the form of modules given weekly every quarter. That’s why he wants to determine if a relationship exists between the number of hours students spend in studying and their final grade. However, prior approval Statistics and Probability Quarter 4 Self-Learning Module: Describing the Shape (Form), Trend (Direction), and Variation ( Strength) Based on a Scatter Plot Stattistics-and-Probability-_q4_mod17_Describing-the-FormshapeTrend-direction-and-Variation-strength-Based-on-a-scatter-plot_2 Statistics and Probability Quarter 4 – Module 5: Identifying the Appropriate Rejection Region for a Given Level of Significance. Antonio always instilled among his students the value of striving hard for excellence. Republic Act 8293, Section 176 states that: No copyright shall subsist in any work of the Government of the Philippines. H a: p > 0. The level of significance is at 0. define the parameters used in statistical analysis; and. Learning Resource Management Section (LRMS) J. tests in Mathematics and English b. However, prior approval of the government agency or CO_Q4_Statistics and Probability SHS Module 20. Email Address: blr@deped. - Free download as PDF File (. Published on 2022 August 30th. P. 4 c. Step 1: Set up the hypothesis ๐ป 0 : There is no significant relationship between the English and Mathematics performance. Statistics and Probability for Senior High School Alternative Delivery Mode Quarter 4 – Module 3 : Regression Analysis First Edition, 2019 Republic Act 8293, section 176 states that “No copyright shall subsist in any work of the Government of the Philippines. Statistics and Probability – Grade 11 Alternative Delivery Mode Quarter 4 – Module 18: Calculating the Pearson’s Sample Correlation Coefficient First Edition, 2020 STATISTICS AND PROBABILITY Quarter 4 - Module 2 Null and Alternative Hypotheses and Test Statistics Senior High School 11. Z – Test Statistic for Population Proportion. Statistics and Probability Alternative Delivery Mode Quarter 4 – Module 3: Formulating Appropriate Null and Alternative Hypotheses on a Population Mean First Edition, 2020. even number4. Landicho, Laarni Q. Do not put unnecessary marks on any part of this SLM. pdf from MA 125 at KCA University. Lesson. ๐ป๐‘Ž : There is significant relationship between the English and Mathematics performance. Complete the table. Identifying Dependent and Independent Variables First Edition, 2021Republic Act 8293, section 176 states that: No copy. 3 Statistics-and-Probability G11 Quarter-4 Module-3 Formulating-Null-and-Alternative-Hypotheses-for-Population-Mean; Quarter 2-Performance Task 1 module 1 quantum numbers and electronic configuration; 21st Century Literature Module 4 Q1-Philosophy Quarter 2; Stem modules developing innovative approaches to enhance student learning Statistics and Probability Quarter 4 – Module 1: Testing Hypothesis. Citation preview. strong negative b. Quarter 4 – Module 9. However, prior approval of the government agency or Quarter 4 – Module 19: Solving Problems Involving Correlation Analysis. s if 0 is rolled. Which of the following is not an option for an alternative hypothesis? a. “Rommel got the following grades on his 9 subjects: six 90s, one 92, and two 89s. where p is the population proportion who use computer software to file their taxes. ight shall subsist in any work of the Government of the Philippines. scores in Mathematics and English tests d. H Citation preview. However, prior approval of the government agency or 4 CO_Q4_Statistics and Probability SHS Module 17 12. kp gv uz ma ho sp ys zo ap tn