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 12 restaurants. The results of the study show that b, =1.4029 and Sp, = 0.1981. a. At the 0.05 level of significance, is there evidence of a linear relationship between the summated rating of a restaurant and the cost of a meal? b. Construct a 95% confidence interval estimate of the population slope. ₁. a. Determine the hypotheses for the test. Choose the correct answer below. OA. H₂: ₂50 H₂: B₂ > 0 OD. H₂ B, 20 H₁: B, <0 Compute the test statistic. The test statistic is 7.08. (Round to two decimal places as needed.) Determine the critical value(s). B. H₂ P₁ = 0 H₂ B, 0 OE. H₂: B₂ = 0 Họ: Boo OC. H₂: B₂ 20 H₁: B₂ <0 OF. H₂ B, 50 H₁: B₂ > 0 The critical value(s) is(are) -2.23.2.23 (Use a comma to separate answers as needed. Round to two decimal places as needed.) Reach a decision. Reject H.. There is sufficient evidence 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. b. The 95% confidence interval is ≤B, < (Round to four decimal places as needed.)