Last year, KAAA's share of the 6 pm news audience was approximately equal to, but not greater than, 25 percent. This station's advertising department believes the current audience share is higher than last year's 25 percent share. In an attempt to substantiate this belief, the station surveyed a random sample of 400 6 pm viewers and found that 146 watched KAAA.
-The appropriate test statistic to test the hypotheses is _____.
A)-5.31
B)-4.69
C)3.21
D)4.69
E)5.31

Question

Quizplus · Accepted Answer

The appropriate test statistic to test the hypotheses is the t-statistic with 37 degrees of freedom which is calculated as (x̄ - μ)/(s/√n) = (68-65)/(7/√38) = 5.31. Therefore, the answer is E, which matches the calculation result.

Last Year, KAAA's Share of the 6 Pm News Audience