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 in 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 89 people in my market category who had been Interviewed 12 said they would buy a subscription and of the 113 people in Mary s market category 29 said they would buy a subscription Assuming that these data came from independent random samples can we conclude at the 0 10 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 Mary s market category wh vould 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 cons list of formulas a State the null hypothesis Ho and the alternative hypothesis H H 0 H 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 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 Mary s market category who would XI 0 O X S 0 0 OSO 020 P 0 0 8 0 0