:1. 9\" Answer the following questions with TRUE or FALSE. Explain your answers as Well. Assume the p-value for a hypothesis test of H\" : pl 2 gig is 0.0020 (a) Our conclusion at any common value of or would be to reject Ht]. (b) This means the probability of Hg being true is 0.0020. (c) The onesided pV'alue for this test would then be 0.0010. [(1) This means the probability of a Type II error is 0.0020. A sociology student wanted to test to see if the GPA's of four sororities were signicantly (lil'l'trrm. They found the following: Sorority A B C D yt- 2.22 3.37 2.87 2.08 .s.'- \".54 (L35 0.21 [1.23 'H..,- lll ll] 10 Ill Let A 2 group 1, B 2 group 2, C 2 group 3, and D 2 group 4. (a) Fill out an ANUVA table. Source (if 35' MS Between groups W'ithin groups Total (1)) Calculate the F test statistic. Continue with Problem (the sorority problem). Assume or = 0.05 (a) State the null and alternative hypothesis mathematv ically. (b) State the null and alternative hypothesis in terms of the problem. Calculate the range for the p-value. Interpret the pvalue in terms of the prohlmn. e) Do you reject or fail to reject the null hypothesis? ) Interpret your conclusion in terms of the problem. \\Nhat type of error could we have made in this ques- tion? (1'1) Interpret a Type II error in terms of the