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Graduation rates and what influences them have become a concern in colleges and universities. The predictor variables used are student-to-faculty ratio, percentage of freshmen in
Graduation rates and what influences them have become a concern in colleges and universities. The predictor variables used are student-to-faculty ratio, percentage of freshmen in the top 10% of their high school class, and percentage applicants accepted. The multiple regression analysis was done for a sample of 48 schools. Complete parts (a) though (f) below. i Click the icon to view the computer output. a. At the 5% significance level, do the data provide sufficient evidence to conclude that percentage of freshman in the top 10% of their high school class is useful for predicting graduation rate? Be precise in your conclusion. What are the hypotheses for the test? O A. Ho: B2 # 0 and Ha: B2 = 0 O B. Ho: P2 = 0 and Ha: B2 0 O D. Ho: P2 = 0 and Ha: B2 # 0 What is the test statistic? t= (Round to three decimal places as needed.) Identify the critical value(s). (Round to three decimal places as needed.) Which of the following is the correct conclusion for the hypothesis test? O A. Do not reject Ho; the data provide sufficient evidence to conclude that percentage of freshman in the top 10% of their high school class is useful for predicting graduation rate. O B. Reject Ho; the data provide sufficient evidence to conclude that percentage of freshman in the top 10% of their high school class is useful for predicting graduation rate. O C. Reject Ho; the data do not provide sufficient evidence to conclude that percentage of freshman in the top 10% of their high school class is useful for predicting graduation rate. O D. Do not reject Ho; the data do not provide sufficient evidence to conclude that percentage of freshman in the top 10% of their high school class is useful for predicting graduation rate.b. Repeat part (a) for each of the variables student-to-faculty ratio and percentage accepted. At the 5% significance level, do the data provide sufficient evidence to conclude that student-to-faculty ratio is useful for predicting graduation rate? Be precise in your conclusion. Choose the correct hypotheses below. O A. Ho: B1 = 0 and Ha: P1 # 0 O B. Ho: P1 # 0 and Ha: P1 = 0 O C. Ho: P1 = 0 and Ha: B1 > 0 O D. Ho: B1 = 0 and Ha: B1 0 O B. Ho: 3 = 0 and Ha: 3 # 0 O C. Ho: P3 # 0 and Ha: B3 = 0 O D. Ho: P3 = 0 and Ha: B3
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