3. A college graduate school administrator is interested in knowing what proportion of applicants would like to be accepted into a particular chemistry program. Of a random sample of 75 applicants, 12 requested entry into the program.

a) (2 marks) Find a point estimate of the proportion of applicants accepted into the chemistry program.

b) (5 marks) Construct a 95% confidence interval for p, the true proportion of all applicants who want acceptance into the program.

c) (3 marks) Find a margin of error in estimating p by the sample proportion with 98% probability