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 hypotheses to test the advertising department's claim is _____.

Question

Quizplus · Accepted Answer

The hypotheses should be based on the null hypothesis that the proportion of customers who prefer the new packaging is equal to or less than the proportion who prefer the old packaging, versus the alternative hypothesis that the proportion who prefer the new packaging is greater than the proportion who prefer the old packaging. Therefore, the appropriate hypothesis test is one-tailed and use the less-than or greater-than symbol, not the not-equal-to symbol. Choice C is the correct option, with the null hypothesis H₀: p ≤ 0.250 and alternative hypothesis H_A: p > 0.250, where p is the proportion of customers who prefer the new packaging.

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