A Marketing Research Company Surveyed Grocery Shoppers in the East

Essay

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. $$\begin{array} { l c c } & \text { Sample size } & \begin{array} { c } \text { Number of customers in the } \\\text { sample that prefer chicken }\end{array} \\\text { East Coast } & 492 & 156 \\\text { West Coast } & 386 & 172\end{array}$$
-Determine the 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.