Question

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. Setup appropriate null and alternative hypotheses to test if the television network should give its newest show a spot during prime time at night?

Answer 1

We want to test that whether there is a higher proportion of viewers who would like to see the new show in the lineup.

Ho: p <= 0.50
Ha: p > 0.50

Let's test the above hypothesis from a one-sample proportion test.

p0 = 428 / 827 = 0.518
n = 827
The z-statistic can be calculated as fol

lows:

Inputting the values, we get:

z = (0.518 - 0.50) / 0.0174
z = 1.034

p-value = 0.1506 (one-tailed)

As the p-value = 0.1506 > 0.05, we fail to reject Ho. Hence, we can conclude that we do not have enough evidence to say that a higher proportion of viewers would like to see the new show in the lineup.