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

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.Which of the following is an appropriate hypotheses to test if the television network should give its newest show a spot during prime time at night? A) H_o:p < 0.50,H_A:p ≥ 0.50 B) H_o:p ≥ 0.50,H_A:p < 0.50 C) H_o:p ≤ 0.50,H_A:p > 0.50 D) H_o:p = 0.50,H_A:p ≠ 0.50

Quizplus · Accepted Answer

We need to test whether the proportion of viewers who prefer the new show is greater than 50% or not, as this will determine whether the network should give the new show a spot during prime time or not. 
Let HS1U1B1O represent the null hypothesis that the proportion of viewers who prefer the new show is less than or equal to 50% (i.e., p ≤ 0.5), and HS1U1B1A represent the alternative hypothesis that the proportion of viewers who prefer the new show is greater than 50% (i.e., p > 0.5). 
Therefore, the appropriate hypotheses to test in this case are: 
HS1U1B1O: p ≤ 0.5
HS1U1B1A: p > 0.5 
Hence, the answer is C.

A Television Network Is Deciding Whether or Not to Give