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The management of a supermarket chain wanted to investigate if the percentages of men and women who prefer to buy national brand products over the store brand products are different. A sample of 593 men shoppers at the company's supermarkets shower that 244 of them prefer to buy national brand products over the store brand products. Another sample of 702 women shoppers at the company's supermarkets showed that 272 of them prefer to buy national brand products over the store brand products. Let p, be the proportion of men shoppers who prefer to buy national brand products over the store brand products, and p2 be the proportion of women shoppers who prefer to buy national brand products over the store brand products. a. What is the point estimate of the difference between the two population proportions? Round your answer to two decimal places. Point estimate of pP, – P2 =1 b. Construct a 99% confidence interval for the difference between the proportions of all men and all women shoppers at these Supermarkets who preferto huy national brand products ovver the store brand nroducts

The management of a supermarket chain wanted to investigate if the percentages of men and women who prefer to buy national brand products over the store brand products are different. A sample of 593 men shoppers at the company's supermarkets shower that 244 of them prefer to buy national brand products over the store brand products. Another sample of 702 women shoppers at the company's supermarkets showed that 272 of them prefer to buy national brand products over the store brand products. Let p, be the proportion of men shoppers who prefer to buy national brand products over the store brand products, and p2 be the proportion of women shoppers who prefer to buy national brand products over the store brand products. a. What is the point estimate of the difference between the two population proportions? Round your answer to two decimal places. Point estimate of pP, – P2 =1 b. Construct a 99% confidence interval for the difference between the proportions of all men and all women shoppers at these Supermarkets who preferto huy national brand products ovver the store brand nroducts

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 13CYU
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The management of a supermarket chain wanted to investigate if the percentages of men and women who prefer to buy national brand products over the store brand products are different. A sample of 593 men shoppers at the company's supermarkets showed that 244 of them prefer to buy national brand products over the store brand products. Another sample of 702 women shoppers at the company's supermarkets showed that 272 of them prefer to buy national brand products over the store brand products. Let p, be the proportion of men shoppers who prefer to buy national brand products over the store brand products, and p, be the proportion of women shoppers who prefer to buy national brand products over the store brand products. a. What is the point estimate of the difference between the two population proportions? Round your answer to two decimal places. Point estimate of P, - P2 = b. Construct a 99% confidence interval for the difference between the proportions of all men and all women shoppers at these supermarkets who prefer to buy national brand products over the store brand products. Round your answers to two decimal places. to i
Transcribed Image Text:The management of a supermarket chain wanted to investigate if the percentages of men and women who prefer to buy national brand products over the store brand products are different. A sample of 593 men shoppers at the company's supermarkets showed that 244 of them prefer to buy national brand products over the store brand products. Another sample of 702 women shoppers at the company's supermarkets showed that 272 of them prefer to buy national brand products over the store brand products. Let p, be the proportion of men shoppers who prefer to buy national brand products over the store brand products, and p, be the proportion of women shoppers who prefer to buy national brand products over the store brand products. a. What is the point estimate of the difference between the two population proportions? Round your answer to two decimal places. Point estimate of P, - P2 = b. Construct a 99% confidence interval for the difference between the proportions of all men and all women shoppers at these supermarkets who prefer to buy national brand products over the store brand products. Round your answers to two decimal places. to i
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