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Chapter 10: Q. 29 (page 626)

A sample survey interviews SRSs of 500female college students and 550male college students. Each student is asked whether he or she worked for pay last summer. In all,410of the women and 484of the men say “Yes.” TakepMand localid="1650271716184" pFbe the proportions of all college males and females who worked last summer. We conjectured before seeing the data that men are more likely to work. The hypotheses to be tested are

(a) H0:pM-pf=0versus Ha;pM-pF≠0

(b) H0:pM-pF=0versusHa:pM-pF>0.

(c) H0:pM-pF=0versusHa:pM-pF<0

(d) H0:pM-pF>0versusHa:pM-pF=0

(e) H0:pM-pF≠0versusHa:pM-pF=0

Short Answer

Expert verified

The tested hypothesis is option (b)H0:pM-pF=0,Ha:pM-pF>0.

Step by step solution

01

Given information

Male proportions in the college=pM=484

Female proportion in the college =pF=410

To find the correct hypothesis.

02

Explanation

The equal sign is always used in the null hypothesis

H0:pM-pF=0

The alternative hypothesis contradicts the null hypothesis (according to the claim)

Ha:pM-pF>0

Because of pM-pF>0

Then, pM>pF

So it is option (b)H0:pM-pF=0,Ha:pM-pF>0.

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