There are 760 students at Acme College. A random sample of eighty students was asked to rate the quality of the food on the new cafeteria. Fifty-seven of the respondents gave the cafeteria food a good rating.

a. What is the point estimate of the proportion of students who gave the cafeteria food a good rating. (2)

The point estimate is:

b. Determine the 82% confidence interval for the proportion of the student population who would rate the food as good.

(Provide the final answers in decimals and not %. Round the final answers to 2 decimal places.)

The 82% confidence interval is between:

LCL:

UCL:

d. Is it reasonable to assume that 4 out of every 5 students would rate the cafeteria food as good?