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

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2-Proportion Test

In a 2-proportion test, two separate proportions are measured at the same time, and their similarity is evaluated. It is also known as a 2-proportion z-test, and a comparison of two different proportions is done in this method.