Answer and explain please

Setup for Questions 5-9 Consider the rock, paper, scissors examples from lecture. The data were: I = {5.13, P.P,R,R.S,R.P.P,R. P}. In lecture we asked if scissors was chosen less than expected by chance. Now consider the research question: are rock and paper (combined) chosen more than expected by chance? Question 5 (1 Points) Let 71' be the probability of rock or paper. W'rite an H0 and H1 for this research question in terms of 71'. (No justication necessary). Question 6 (1 Points) \"That is the appropriate test statistic? Also state the observed test statistic. (No justification necessary). Question 7 (2 Points) Calculate the pvalue for the test statistic. Use the following sampling distribution. p PUD) 0/12 0000 1/12 0.000 2/12 0.000 3/12 0.003 4/12 0015 5/12 0.048 6/12 0.111 7/12 0191 8/12 0.238 9/12 0212 10/12 0.127 11/12 0.046 12/12 0008 Question 8 (2 Points) \\Vhat is the decision and conclusion of the hypothesis test? Assume (,1 = 0.05. Question 9 (1 Point) How does the pvalue from Question 7 compare to the p-value obtained in lecture? Is this surprising? \"711}; or why not? (Just provide the answer and your reaction. The correctness of your reaction is not graded}