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 847 responses, of which 428 indicate that they would like to see the new show in the lineup. The test statistic for this hypothesis would be __________.Multiple Choice0.550.650.310.35
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 847 responses, of which 428 indicate that they would like to see the new show in the lineup. The test statistic for this hypothesis would be __________.Multiple Choice0.550.650.310.35
Solution
The test statistic in this case would be the proportion of viewers who indicated they would like to see the new show. This is calculated by dividing the number of positive responses by the total number of responses.
Step 1: Identify the number of positive responses. In this case, 428 viewers indicated they would like to see the new show.
Step 2: Identify the total number of responses. In this case, the network received 847 responses.
Step 3: Divide the number of positive responses by the total number of responses to find the proportion.
428/847 = 0.50531
However, this exact value is not given in the multiple choice options. The closest option to this value is 0.55. Therefore, the test statistic for this hypothesis would be 0.55.
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