On TV shows that feature singing competitions, contestants often wonder if there is an
advantage in performing last. To investigate, researchers selected a random sample of
600 college students and showed each student the audition video of 12 different singers.
Each student viewed videos in random order. We would expect approximately 1/12 of the
students to prefer the last singer seen, assuming order doesn't matter. In this study, 59 of
the 600 students preferred the last singer they viewed. We want to perform a test at the a
= 0.05 significance level of
H:P =
12
where p = the true proportion of college students who prefer the last singer they see.
1. Check that the conditions for performing the test are met.
2. Calculate the standardized test statistic.
3. Find the P-value using Table A or technology and interpret in context.