Please show how to do this step by step of population proportions0/5MariaSeveral 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 thecategory 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. Myfriend Maya 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. Afterbeing interviewed, I looked at the interviewer's results. Of the 87 people in my market category who had been interviewed, 14 said they would buy asubscription, and of the 113 people in Maya's market category, 26 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 mallshoppers in my market category who would buy a subscription is less than the proportion p2 of all mall shoppers in Maya's market category who would asubscription?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 offormulas.)Aa(a) State the null hypothesis H and the alternative hypothesis H₁.OрHo: D:0H₁ :0(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.)0(e) Can we conclude that the proportion of mall shoppers in my market categorywho would buy a subscription is less than the proportion in Maya's marketcategory who would?Yes NoExplanationCheck3|xX0=0XSOSO0<0

Given: Several months ago while shopping, I was interview to see whether or not I'd be interested…

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 Maya 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 87 people in my market category who had been interviewed, 14 said they would buy a subscription, and of the 113 people in Maya's market category, 26 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 p, of all mall shoppers in my market category who would buy a subscription is less than the proportion p₂ of all mall shoppers in Maya'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. H O P X S H₁ : D H, :D 7² U₂ (b) Determine the type of test statistic to use. 0=0 OSO (Choose one) ▼ (c) Find the value of the test statistic. (Round to three or more decimal places.) 0 (d) Find the p-value. (Round to three or more decimal places.) 0 (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 Maya's market category who would? Yes No X 0O ? 3 11 M. Gram EC E KT

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section10.6: Summarizing Categorical Data

Problem 13CYU