Cole is taking a first-year university psychology course with a final exam that consists of 80 multiple choice questions. Each question has five possible answers, only one of which is correct. If Cole scored 27 out of 80, did he do better than would be expected by chance (i.e. guessing at each question)? Use a one-tailed binomial test with a = 0.05 to determine this. Round all answers to three decimal places when needed. Let p represent the proportion of questions that Cole answered correctly. a) What are the appropriate hypotheses for this test? OHo :p = 0 OHo:p = 0.2 OHo :p 0 OHo:p = 0.5 OHo: p 0.5 H1 :p > 0.2 b) What is the critical value found in the z- or t-table? Zcrit = For a two-tailed test, enter only the positive critical value.) c) What is the value of the test statistic for this scenario? Z stat = d) Based on the above, what would your decision and conclusion be? Decision: Ofail to reject the alternate hypothesis O fail to reject the null hypothesis O accept the null hypothesis O reject the null hypothesis Conclusion