Question

An online statistics instructor wants to know if students’ statistics self-efficacy increases from the beginning

to end of an online introductory statistics course. Through the American Statistical Association (ASA) she finds 49 other researchers who are also interested in this topic. Together they organize a series of 50 research studies comparing online introductory students’ statistics self-efficacy at the beginning and end of a semester. [28 points]

A. If there is not difference between students’ statistics self-efficacy at the beginning and end of the semester, how many tests would you expect to be statistically significant at the 0.05 alpha level just by random chance?

B. If you were conducting one of these research studies, what alpha level (.01, .05, .10) would you use and why?

C. Suppose that of 50 tests, there were 20 tests with statistically significant results. Would this be convincing evidence that statistics self-efficacy changes from beginning to end of a semester? Explain why or why not.

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