A television network is deciding whether or not to give its newest television show a spot during prime viewing time at night. For this to happen, it will have to move one of its most-viewed shows to another slot. The network conducts a survey asking its viewers which show they would rather watch. The network receives 827 responses, 428 of which indicate they would like to see the new show in the lineup.

a. What is the appropriate hypothesis to test if the television network should give its newest show a spot during prime time at night?

b. What is the test statistic? Round answer to three decimal places.

c. What is the p value? Round answer to four decimal places.

d. At a 5% significance level, what is the conclusion?

e. Let us suppose you later learn that your conclusion is incorrect, what is the error type you committed and what is the error's consequences?