A statistics teacher taught a large introductory statistics class, with 500 students having enrolled over many years. The mean score over all those students on the rst midterm was ,u = 68 with standard deviation 0' = 20. One year, the teacher taught a much smaller class of only 25 students. The teacher wanted to know if teaching a smaller class affected scores in any way. We can consider the small class as an SRS of the students who took the large class over the years. The average midterm score was it = 78. The hypothesis the teacher tested was H0 : ,u = 68 vs. H I. : ,u 54$ 68. A power calculation done prior to collecting the sample showed the probability of Type II error to be 0.1. If the null hypothesis is not rejected, the teacher can conclude that: O the alternative hypothesis is proved wrong. 0 there is no evidence against the null or in favor of the alternative, and the study supports the null hypothesis. 0 the null hypothesis is proved wrong. 0 the null hypothesis is true, no doubt about it