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+ Automatic Zoom 4. Academy Sports & Outdoors is interested in the difference in the proportions of returned purchases at 2 different locations, retail stores in Dallas and Houston. They have collected the following data. Refer to the Dallas store as Population 1 and the Houston store as Population 2, and answer the following questions leading up to the hypothesis test. 4 of 4 Dallas store (population 1) Goods purchased last month 2,144 Number of these that were returned 150 Houston store (population 2) Goods purchased last month= 3,509 Number of these that were returned = 140 Ho: Pi-P=0 H.: Pi-P0 (a) What is the estimate of the proportion in population 17 Round to 2 decimal places. (b) What is the estimate of the proportion in population 2? Round to 2 decimal places. (e) What is the estimate of the difference between the two population proportions? Round to 2 decimal places. (d) What is the standard error of the difference between the two population proportions? Round to 4 decimal places. (e) Develop a 90% confidence interval for the difference between the two population proportions. Report as a 2 decimal number a 3 decimal number. (1) Develop a 95% confidence interval for the difference between the two population proportions. Report as a 2 decimal number ca 3 decimal number. (g) Develop a 99% confidence interval for the difference between the two population proportions. Report as a 2 decimal number ta 3 decimal number. (h) What is the pooled estimate of p? Round to 3 decimal places. (1) What is the test statistic (e-value)? Round to 2 decimal places. (1) What is the p-value? Round to 4 decimal places. (k) With a 90% confidence level (a=0.10), what is your conclusion? (0) With a 90% confidence level (a0.05), what is your conclusion? (mm) With a 99% confidence level (a-0.01), what is your conclusion? 8 MacBo