A researcher developed a regression model to predict the cost of a meal based on the summated rating (sum of ratings for food, decor, and service) and the cost per meal for 14 restaurants. The results of the study show that b, = 1.4273 and Sp, = 0.1089. a. At the 0.05 level of significance, is there evidence of a linear relationship between the summated rating of a restaurant an the cost of a meal? b. Construct a 95% confidence interval estimate of the population slope, B1. a. Determine the hypotheses for the test. Choose the correct answer below. O A. Ho: Po 20 H;: Bo <0 O B. Ho: B, 20 H;: B, <0 O C. Ho: Po =0 H;: Bo#0 O D. Ho: Bo so H;: Bo>0 O E. Ho: B1 = 0 H4: B, #0 O F. Ho: B, S0 H;: B, > 0 Compute the test statistic. The test statistic is (Round to two decimal places as needed.) Determine the critical value(s). The critical value(s) is(are). (Use a comma to separate answers as needed. Round to two decimal places as needed.) Reach a decision. Ho. There is Vevidence at the 0.05 level of significance to conclude that there is a linear relationship between the summated rating and the cost of a meal at a restaurant. o. The 95% confidence interval is SB, s. Pound t four decimal places as needed )

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