Lets see how students and faculty compare on a basic statistical question. Zuckerman, Hodgins, Zuckerman, and Rosenthal

Question:

Let€™s see how students and faculty compare on a basic statistical question. Zuckerman, Hodgins, Zuckerman, and Rosenthal (1993) surveyed 550 people and asked a number of questions on statistical issues. In one question a reviewer warned a researcher that she had a high probability of a Type I error because she had a small sample size. The researcher disagreed. Participants were asked, €œWas the researcher correct?€ The proportions of respondents, partitioned among students, assistant professors, associate professors, and full professors, who sided with the researcher and the total number of respondents in each category were as follows:

(a) Who do you think was correct?
(b) What do these data tell you about differences among groups of respondents? (Note: The researcher was correct. Our tests are specifically designed to hold the probability of a Type I error at a, regardless of the sample size.)