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Several months ago while shopping, I was interviewed to see whether or not I'd be interested in signing up for a subscription to a yoga app. I fall into the category of people who have a membership at a local gym, and guessed that, like me, many people in that category would not be interested in the app. My friend Mary falls in the category of people who do not have a membership at a local gym, and I was thinking that she might like a subscription to the app. After being interviewed, I looked at the interviewer's results. Of the 95 people in my market category who had been interviewed, 14 said they would buy a subscription, and of the 102 people in Mary's market category, 32 said they would buy a subscription. Assuming that these data came from independent, random samples, can we conclude, at the 0.01 level of significance, that the proportion P₁ of all mall shoppers in my market category who would buy a subscription is less than the proportion P2 of all mall shoppers in Mary's market category who would a subscription? 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.) (a) State the null hypothesis Ho and the alternative hypothesis H₁. HD Ho : μ ㄡˇ b S P 合

Several months ago while shopping, I was interviewed to see whether or not I'd be interested in signing up for a subscription to a yoga app. I fall into the category of people who have a membership at a local gym, and guessed that, like me, many people in that category would not be interested in the app. My friend Mary falls in the category of people who do not have a membership at a local gym, and I was thinking that she might like a subscription to the app. After being interviewed, I looked at the interviewer's results. Of the 95 people in my market category who had been interviewed, 14 said they would buy a subscription, and of the 102 people in Mary's market category, 32 said they would buy a subscription. Assuming that these data came from independent, random samples, can we conclude, at the 0.01 level of significance, that the proportion P₁ of all mall shoppers in my market category who would buy a subscription is less than the proportion P2 of all mall shoppers in Mary's market category who would a subscription? 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.) (a) State the null hypothesis Ho and the alternative hypothesis H₁. HD Ho : μ ㄡˇ b S P 合

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Several months ago while shopping, I was interviewed to see whether or not I'd be interested in signing up for a subscription to a yoga app. I fall into the category of people who have a membership at a local gym, and guessed that, like me, many people in that category would not be interested in the app. My friend Mary falls in the category of people who do not have a membership at a local gym, and I was thinking that she might like a subscription to the app. After being interviewed, I looked at the interviewer's results. Of the 95 people in my market category who had been interviewed, 14 said they would buy a subscription, and of the 102 people in Mary's market category, 32 said they would buy a subscription. Assuming that these data came from independent, random samples, can we conclude, at the 0.01 level of significance, that the proportion P₁ of all mall shoppers in my market category who would buy a subscription is less than the proportion P2 of all mall shoppers in Mary's market category who would a subscription? 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.) (a) State the null hypothesis Ho and the alternative hypothesis H₁. HD Ho : μ ㄡˇ b S P 合 <R 号 (b) Determine the type of test statistic to use. (Choose one) (c) Find the value of the test statistic. (Round to three or more decimal places.) (d) Find the p-value. (Round to three or more decimal places.) ローロ □≠□ (e) Can we conclude that the proportion of mall shoppers in my market category who would buy a subscription is less than the proportion in Mary's market category who would? Yes No 0<O G O<O ORO OSO
Transcribed Image Text:Several months ago while shopping, I was interviewed to see whether or not I'd be interested in signing up for a subscription to a yoga app. I fall into the category of people who have a membership at a local gym, and guessed that, like me, many people in that category would not be interested in the app. My friend Mary falls in the category of people who do not have a membership at a local gym, and I was thinking that she might like a subscription to the app. After being interviewed, I looked at the interviewer's results. Of the 95 people in my market category who had been interviewed, 14 said they would buy a subscription, and of the 102 people in Mary's market category, 32 said they would buy a subscription. Assuming that these data came from independent, random samples, can we conclude, at the 0.01 level of significance, that the proportion P₁ of all mall shoppers in my market category who would buy a subscription is less than the proportion P2 of all mall shoppers in Mary's market category who would a subscription? 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.) (a) State the null hypothesis Ho and the alternative hypothesis H₁. HD Ho : μ ㄡˇ b S P 合 <R 号 (b) Determine the type of test statistic to use. (Choose one) (c) Find the value of the test statistic. (Round to three or more decimal places.) (d) Find the p-value. (Round to three or more decimal places.) ローロ □≠□ (e) Can we conclude that the proportion of mall shoppers in my market category who would buy a subscription is less than the proportion in Mary's market category who would? Yes No 0<O G O<O ORO OSO
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