Meth Bus (385:02) Exam #2 04/05/23 Question 9 of 9 > This test: 29 point(s) possible This question: 4 point(s) possible 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 = 1.4251 and Sp = 0.1381. 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, B. A. Ho: B = 0 a. Determine the hypotheses for the test. Choose the correct answer below. B. Ho Bo0 E. Ho: Bo0 H: B #0 O D. Ho Bo=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. C. Ho: B 0 H B> 0 F. Ho: B 20 Ho. There is 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 SB, (Round to four decimal places as needed.) Submit test leth Bus (385:02) Exam #2 04/05/23 Use the contingency table to the right to complete parts (a) through (c) below. a. Find the expected frequency for each cell. A B 1 2 Total 50 75 Total 50 75 125 This test: 29 point(s) possible Question 8 of 9 > This question: 5 point(s) possible (Type integers or decimals.) b. Compare the observed and expected frequencies for each cell. Choose the correct answer below. A. The totals for the observed values are always greater than the totals for the expected values. B. The observed values are always greater than the expected values. C. The expected values are always greater than the observed values. OD. The totals for the observed and expected frequencies are the same. c. Compute X STAT - Is it significant at x = 0.005? First let, be the proportion of all events of interest in A, and let be the proportion of all events of interest in B. Determine the hypotheses. Choose the correct answer below. A. Ho: C. Ho =2 H Calculate the test statistic. X STAT = (Round to two decimal places as needed.) What is the p-value? p-value = (Round to three decimal places as needed.) B. Ho H OD. Ho: H Submit test A B Total 1 31 19 50 2 19 56 75 Total 50 75 125 Meth Bus (385:02) Exam #2 04/05/23 Question 7 of 9 > You are testing the null hypothesis that there is no linear relationship between two variables, X and Y. From your sample of n = 11, you determine that r = 0.8. a. What is the value of tSTAT? b. At the = 0.05 level of significance, what are the critical values? c. Based on your answers to (a) and (b), what statistical decision should you make? This test: 29 point(s) possible This question: 4 point(s) possible a. What are the hypotheses to test? A. Hop #0 H: p=0 C. Ho p=0 *STAT H: p 0 (Round to four decimal places as needed.) b. The lower critical value is (Round to four decimal places as needed.) The upper critical value is . (Round to four decimal places as needed.) c. What statistical decision should you make? A. Since tSTAT is between the critical values, do not reject Ho B. Since tSTAT is greater than the upper critical value, do not reject Ho. C. Since tSTAT is greater than the upper critical value, reject Ho- D. Since tSTAT is between the critical values, reject Ho OB. Ho p0 H: p 0 Submit test