A survey of high school girls classified them by two attributes: whether or not they participated in sports and whether or not they had one or more older brothers. Participated In sports Participated In sports Older brother Yes No Total Yes 12 8 20 No 13 27 40 TOTAL 25 35 60 A) Use the following data to test the null hypothesis that these two attributes of classification are independent. B) Suppose we do the below hypothesis test instead: H0: P1 - P2 = 0 H1: P1 - P2 ≠ 0 where, P1 ==>Propotion of young girls participated in sports of those who have a brother P2 ==> Propotion of young girls participated in sports of those who do not have a brother. What would be the test statistic and the p-value for this test?

A survey of high school girls classified them by two attributes: whether or not they participated in sports and whether or not they had one or more older brothers. Participated In sports Participated In sports Older brother Yes No Total Yes 12 8 20 No 13 27 40 TOTAL 25 35 60 A) Use the following data to test the null hypothesis that these two attributes of classification are independent. B) Suppose we do the below hypothesis test instead: H0: P1 - P2 = 0 H1: P1 - P2 ≠ 0 where, P1 ==>Propotion of young girls participated in sports of those who have a brother P2 ==> Propotion of young girls participated in sports of those who do not have a brother. What would be the test statistic and the p-value for this test?

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter10: Sequences, Series, And Probability

Section10.8: Probability

Problem 31E

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