A television network is deciding whether or not to give its newest television show a spot during prime viewing time at night. If this is 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, of which 428 indicate they would like to see the new show in the lineup.

a.Which of the following is an appropriate set of hypotheses to test if the television network should give its newest show a spot during prime time at night?

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Ho: p 0.518, Ha: p < 0.518

Ho: p 0.518, Ha: p > 0.518

Ho: p = 0.518, Ha: p 0.518

Ho: p 0.50, Ha: p < 0.50

Ho: p 0.50, Ha: p > 0.50

Ho: p = 0.50, Ha: p 0.50

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

c.What is the p-value? Round your answer to four decimal digits.

d.At a 5% significance level, which are the conclusions?