Large companies typically collect volumes of data before designing a product, not only to gain information as to whether the product should be released, but also to pinpoint which markets would be the best targets for the product. Several months ago, I was interviewed by such a company while shopping at a mall. I was asked about my exercise habits and whether or not I'd be interested in buying a video/DVD designed to teach stretching exercises. I fall into the male, 18 - 35-years-old category, and I guessed that, like me, many males in that category would not be interested in a stretching video. My friend Linda falls in the female, older-than-35 category, and I was thinking that she might like the stretching video. After being interviewed, I looked at the interviewer's results. Of the 85 people in my market category who had been interviewed, 16 said they would buy the product, and of the 110 people in Linda's market category, 25 said they would buy it. Assuming that these data came from independent, random samples, can we conclude (at the 0.05 level of significance) that the proportion p, of al mall shoppers in my market category who would buy the product is less than the proportion p, of all mall shoppers in Linda's market category who would buy the product? Perform a one-tailed test. Then complete the parts below.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section10.6: Summarizing Categorical Data

Problem 13CYU

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(d)	Find the critical value at the 0.05 level of significance. (Round to three or more decimal places.)

(e)	Can we conclude that the proportion of mall shoppers in my market category who would buy the product is less than the proportion in Linda's market category who would?
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Large companies typically collect volumes of data before designing a product, not only to gain information as to whether the product should be released, but
also to pinpoint which markets would be the best targets for the product. Several months ago, I was interviewed by such a company while shopping at a mall. I
was asked about my exercise habits and whether or not I'd be interested in buying a video/DVD designed to teach stretching exercises. I fall into the male, 18 -
35-years-old category, and I guessed that, like me, many males in that category would not be interested in a stretching video. My friend Linda falls in the
female, older-than-35 category, and I was thinking that she might like the stretching video. After being interviewed, I looked at the interviewer's results. Of the
85 people in my market category who had been interviewed, 16 said they would buy the product, and of the 110 people in Linda's market category, 25 said they
would buy it. Assuming that these data came from independent, random samples, can we conclude (at the 0.05 level of significance) that the proportion p, of all
mall shoppers in my market category who would buy the product is less than the proportion p, of all mall shoppers in Linda's market category who would buy
the product?
Perform a one-tailed test. Then complete the parts below.
Carry your intermediate computations to three or more decimal places and round your answers as specified in the parts below. (If necessary, consult a list of
formulas.)

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