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Please answer and give brief explanation Setup for Questions 1-4 In collegiate men's basketball, suppose that UCM has beaten UCR 7 times in the past

Please answer and give brief explanation

image text in transcribed Setup for Questions 1-4 In collegiate men's basketball, suppose that UCM has beaten UCR 7 times in the past 10 games. Before a Statistics lecture, Professor Kayla overheard two students arguing if UCM can consistently beat UCR . One student believes the recent record shows that UCM can beat UCR consistently. The other student argues that such a record cannot be distinguished from chance. To settle this, Professor Kayla assigns a hypothesis testing question for the students to solve as homework. Question 1 (1 Points} Consider the research question: does UCM beat UCR more than is expected by chance? Let er be the probability that UCM beats UCR in a game. Write an H0 and H1 for this research question in terms of 7r. (No justication necessary). Question 2 (1 Points) What is the appropriate test statistic? Also state the observed test statistic. (No justication necessary). Question 3 (2 Points) Calculate the pvalue for the test statistic. Use the following sampling distribution. 10 PW) 0/10 0.001 1/10 0010 2/10 0044 3/10 0117 4/10 0.205 5/10 0.246 6/10 0205 7/10 0117 8/10 0044 0/10 0.010 10/10 0.001 1 Question 4 (2 Points) What is the decision and conclusion of the hypothesis test? Assume a: = 0.05

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