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In an attempt to develop a model of wine quality as judged by wine experts, data on alcohol content and wine quality was collected from variants of a particular wine. From a sample of 17 wines, a model was created using the percentages of alcohol to predict wine quality. From the results of that regression, b, = 0.3664 and Son = 0.1665. 51 a. At the 0.05 level of significance, is there evidence of a linear relationship between the percentage of alcohol and wine quality? b. Construct a 95% confidence interval estimate of the population slope, $. a. Determine the hypotheses for the test. Choose the correct answer below. O A. Ho: B. 20 H: Bo < 0 OD. Ho: Bo =0 H: B. > B. Ho: Bo = 0 H: Bo70 O E. Ho: B420 H: B, < 0 O c. Ho: B2 = 0 H:1,70 O F. Ho: B130 Hi: B,>0 Compute the test statistic. = ESTAT (Round to two decimal places as needed.) Identify the p-value of the test statistic. p-value = (Round to three decimal places as needed.) Reach a decision. Ho. There is evidence to conclude that there is a linear relationship between the percentage of alcohol and wine quality. b. The 95% confidence interval is ]=B,= (Round to three decimal places as needed.)