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 Mai 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. Ofthe 85 people in my market category who had been interviewed, 11 said they would buy a subscription, and of the 98 people in Mai's market category, 29 said they would buy a subscription. Assuming that these data came from independent, random samples, can we conclude, at the 0.01 level of signicance, that the proportion p1 of all mall shoppers in my market category who would buy a subscription is less than the proportionp2 of all mall shoppers in Mai's market category who would a subscription? Perform a onetailed test. Then complete the parts below. Carry your intermediate computations to three or more decimal places and round your answers as specied in the parts below. (If necessary, consult a list of formulas.) (a) State the null hypothesis H0 and the alternative hypothesis H1. IJ CI p H : 0 7 S 3 H1 : El DE DE ' (b) Determine the type of test statistic to use. (c) Find the value of the test statistic. (Round to three or more decimal places.) EI=EI EIEI (d) Find the pvalue. (Round to three or more decimal places.) (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 Mai's market category who would? OYes O No