Answered: A survey of high school girls…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Question

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?

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