A survey by Dunn's Review, October 1976, indicated that, of 300 top business executives polled, 85% favored President Ford over Jilll!DY Carter for President. Let p be the proportion of business...

A survey by Dunn's Review, October 1976, indicated that, of 300

top business executives polled, 85% favored President Ford over

Jilll!DY Carter for President. Let p be the proportion of business

executives favoring President Ford.

(a) Find a critical region for testing H0 : p = 3/4 versus

H1 : p > 3/4 using the normal approximation to the binomial

and a = 0.05.

(b) Based on the poll in Dunn's Review, is there evidence that

the percentage of business executive preferring President

Ford exceeded 75%?