8. A marketing research company surveyed grocery shoppers in the east and west coasts to see the percentage of the customers who prefer chicken to other meat. The data are given below. Number of...

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Extracted text: 8. A marketing research company surveyed grocery shoppers in the east and west coasts to see the percentage of the customers who prefer chicken to other meat. The data are given below. Number of customers in the Sample size sample that prefer chicken 156 East Coast 492 West Coast 386 172 a. Determine a 95% confidence interval for the difference between the proportion of customers who prefer chicken at the West Coast and the proportion of customers who prefer chicken at the East Coast. b. Is the proportion of customers who prefer chicken higher at the West Coast? Test at a = 0.05.