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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
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 100 students from their large university and showed each student the audition video of 12 different singers with similar vocal skills. Each student viewed the videos in a 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, 11 of the 100 students preferred the last singer they viewed. The researchers want to perform a test of 00: =1/12 versus : > 1/12, where = the true proportion of students at this university who prefer the singer they last see. What is the value of 0? _________(Round to 2 decimal places) What is the value of (1-0)? ________ (Round to 2 decimal places) Is the sampling distribution of p^ approximately Normal? (YES / NO) . Assuming that p = 1/12 is true, the sampling distribution of p^ A)WILL B) WILL NOT) be approximately Normal because np0 and n(1-p0) A) ARE B) ARE NOT both 10
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