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7.3-9. Consider the following two groups of women: Group 1 consists of women who spend less than $500 annually on clothes; Group 2 comprises women who spend more than $1000 annually on clothes. Let p₁ and P2 equal the proportions of women in these two groups, respectively, who believe that clothes are too expensive. If 1009 out of a random sample of 1230 women from group 1 and 207 out of a random sample of 340 from group 2 believe that clothes are too expensive, (a) Give a point estimate of p1 - P2. (b) Find an approximate 95% confidence interval for P1-P2.

7.3-9. Consider the following two groups of women: Group 1 consists of women who spend less than $500 annually on clothes; Group 2 comprises women who spend more than $1000 annually on clothes. Let p₁ and P2 equal the proportions of women in these two groups, respectively, who believe that clothes are too expensive. If 1009 out of a random sample of 1230 women from group 1 and 207 out of a random sample of 340 from group 2 believe that clothes are too expensive, (a) Give a point estimate of p1 - P2. (b) Find an approximate 95% confidence interval for P1-P2.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 27PPS
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7.3-9. Consider the following two groups of women: Group 1 consists of women who spend less than $500 annually on clothes; Group 2 comprises women who spend more than $1000 annually on clothes. Let p₁ and P2 equal the proportions of women in these two groups, respectively, who believe that clothes are too expensive. If 1009 out of a random sample of 1230 women from group 1 and 207 out of a random sample of 340 from group 2 believe that clothes are too expensive, (a) Give a point estimate of pi - P2. (b) Find an approximate 95% confidence interval for P1-P2.
Transcribed Image Text:7.3-9. Consider the following two groups of women: Group 1 consists of women who spend less than $500 annually on clothes; Group 2 comprises women who spend more than $1000 annually on clothes. Let p₁ and P2 equal the proportions of women in these two groups, respectively, who believe that clothes are too expensive. If 1009 out of a random sample of 1230 women from group 1 and 207 out of a random sample of 340 from group 2 believe that clothes are too expensive, (a) Give a point estimate of pi - P2. (b) Find an approximate 95% confidence interval for P1-P2.
7.3-9 (a) 0.2115; (b) [0.1554, 0.2676].
Transcribed Image Text:7.3-9 (a) 0.2115; (b) [0.1554, 0.2676].
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