A company produces men’s jeans that can be styled with either a regular cut or a boot cut. In an effort to estimate the proportion of male customers that prefer the boot-cut style, an analyst takes a random sample of 220 sales of jeans and finds 37 were for boot-cut jeans. A. Estimate with 90% confidence the true proportion of all male customers that prefer boot- cut style jeans. B. How many male customers would need to be sampled to estimate the desired proportion to within 3% using 90% confidence? C. Verify that the sample size used in part A is large enough for the procedure to be considered valid.

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter11: Data Analysis And Probability
Section11.4: Collecting Data
Problem 6E
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A company produces men’s jeans that can be styled with either a regular cut or a boot cut. In
an effort to estimate the proportion of male customers that prefer the boot-cut style, an
analyst takes a random sample of 220 sales of jeans and finds 37 were for boot-cut jeans.


A. Estimate with 90% confidence the true proportion of all male customers that prefer boot-
cut style jeans.


B. How many male customers would need to be sampled to estimate the desired proportion
to within 3% using 90% confidence?


C. Verify that the sample size used in part A is large enough for the procedure to be
considered valid.

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