You may need to use the appropriate appendix table or technology to answer this question.A national standardized test consists of three parts: critical reading, mathematics, and writing. Suppose each part of the test is scored on a 200- to 800-point scale with a median of approximately 510. Scores for each part of the test can be assumed to be symmetric. Use the following data to test the hypothesis that thepopulation median score for the students taking the writing portion of the test is 510.635 701 439 447 464502 405 453 471 476447590 337 387 514State the null and alternative hypotheses.O Ho: Median # 510H₂: Median = 510O Ho: Median 2 510H₂: Median < 510Ho: Median < 510H₂: Median = 510ⒸH: Median = 510H₂: Median # 510O Ho: Median ≤ 510H₂: Median > 510✓Find the value of the test statistic.T =Find the p-value. (Round your answer to four decimal places.)p-value =Using a = 0.05, what is your conclusion?O Reject Ho. There is sufficient evidence to conclude that the population median writing test score is not 510.Ⓒ Do not reject Ho. There is not sufficient evidence to conclude that the population median writing test score is not 510.O Reject Ho. There is not sufficient evidence to conclude that the population median writing test score is not 510.O Do not reject Ho. There is sufficient evidence to conclude that the population median writing test score is not 510.

Given information: The data for test scores of 15 students are given with the population median…

You may need to use the appropriate appendix table or technology to answer this question. A national standardized test consists of three parts: critical reading, mathematics, and writing. Suppose each part of the test is scored on a 200- to 800-point scale with a median of approximately 510. Scores for each part of the test can be assumed to be symmetric. Use the following data to test the hypothesis that the population median score for the students taking the writing portion of the test is 510. 635 701 439 447 464 502 405 453 471 476 447 590 337 387 514 State the null and alternative hypotheses. OH: Median 510 H: Median - 510 OH: Median 2 510 H: Median < 510 OH: < 510 Median H: Median - 510 ⒸH: Median - 510 H: Median 510 O Ho: Medians 510 H: Median> 510 Find the value of the test statistic. Tº= Find the p-value. (Round your answer to four decimal places.) p-value= Using a = 0.05, what is your conclusion? O Reject Ho- There is sufficient evidence to conclude that the population median writing test score is not 510. ● Do not reject H₂. There is not sufficient evidence to conclude that the population median writing test score is not 510. O Reject H₂- There is not sufficient evidence to conclude that the population median writing test score is not 510. O Do not reject Ho. There is sufficient evidence to conclude that the population median writing test score is not 510.

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section10.6: Summarizing Categorical Data

Problem 4BGP