Question

In 2018 about 16% of people had worked a jigsaw puzzle in the last year. A popular magazine is doing a story on how people are filling time in the weeks of social distancing. They believe that more people are doing jigsaw puzzles than in the past and sponsor a survey with a random sample of US residents to substantiate their claim, choosing   = .05. A hypothesis test is completed and the p - value is 0.0037. What conclusion should the magazine find. Explain.

Answer 1

H0: p = 0.16

Ha: p > 0.16

Using p-value approach,

Reject H0 if p-value < .

Since p-value (0.0037) < 0.05 , Reject the null hypothesis.

We have sufficient evidence to conclude that more people are doing jigsaw puzzles than in the past