Question

Students at a high school are asked to evaluate their experience in the class at the end of each school year. The courses are evaluated on a 1-4 scale – with 4 being the best experience possible. In the History Department, the courses typically are evaluated at 10% 1’s, 15% 2’s, 34% 3’s, and 41% 4’s. Mr. Goodman sets a goal to outscore these numbers. At the end of the year he takes a random sample of his evaluations and finds 11 1’s, 14 2’s, 47 3’s, and 53 4’s. At the 0.05 level of significance, can Mr. Goodman claim that his evaluations are significantly different than the History Department’s? Hypotheses: H0: There is in Mr. Goodman’s evaluations and the History Department’s. H1: There is in Mr. Goodman’s evaluations and the History Department’s. Enter the test statistic – round to 4 decimal places. Enter the p-value – round to 4 decimal places. Can it be concluded that there is a statistically significant difference in Mr. Goodman’s evaluations and the History Department’s?