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Chapter 10: Q. 30 (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, 410 of the women and 484 of the men say “Yes.” The pooled sample proportion who worked last summer is about

(a) p⏜C=1.70

(b)p^C=0.89

(c) p^C=0.88

(d) p^C=0.85

(e) p^C=0.82

Short Answer

Expert verified

The pooled sample proportion who worked last summer is option (c)p^C≈0.851.

Step by step solution

01

Given information

SRS of female college students =500

SRS of male college students =550

Number of women worked summer =410

Number of men worked summer =484

Find the pooled sample proportion who worked last summer.

02

Explanation

The given values are taken as

x1=410

n1=500

x1=484

n2=550

The proportion of pooled sample is

localid="1650360509081" p^C=x1+x2n1+n2=410+484500+550=8941050≈0.85

p^C≈0.851.

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A sample survey interviews SRSs of500female 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.” The 95%confidence interval for the difference pM-pFin the proportions of college men and women who worked last summer is about

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