In the CRFA 2013 Canadian Chef Survey, 350 professional chefs were randomly selected and asked to rate the popularity of several items, including cooking methods, hot trends, and perennial...

In the CRFA 2013 Canadian Chef Survey, 350 professional chefs were randomly selected and asked to rate the popularity of several items, including cooking methods, hot trends, and perennial favorites.29 In the Hot Trends section, suppose 209 chefs selected slow cooking as the most popular preparation method, 107 chefs selected gluten-free as the most popular culinary theme, and 98 selected bite-size desserts as the most popular dessert item.

a. Find a 95% confidence interval for the true proportion of Canadian chefs who believe slow cooking is the most popular preparation method.

b. Find a 95% confidence interval for the true proportion of Canadian chefs who believe gluten-free is the most popular culinary theme.

c. Find a 95% confidence interval for the true proportion of Canadian chefs who believe bite-size desserts are the most popular dessert item.