*8. A survey asked subjects to choose a number from 1 to 9 to explain their feelings toward eating meat in response to the prompt: "Eating meat is...." Three independent random samples of 10 ethics professors, 10 philosophy professors not specializing in ethics, and 10 professors in other disciplines were taken, with the results shown in the accompanying table. Assume the population of each type of professor satisfies the Normal condition for ANOVA. Test the hypothesis that the mean response is different for different groups of professors reporting F-statistic, the p-value, and the conclusion in context. Use a significance level of = 0.05. Click the icon for the survey scale and data. Let Heth HPhil, and Hoth represent the mean ethics response, the mean philosophy response, and the mean response from other disciplines respectively. Determine the correct null and alternative hypotheses. Choose the correct answer below. OA. Ho: HEth "Phil * "oth HA HEth Phil Poth OB. Ho HEth "Phil - Hoth HA: The mean response is different for at least one discipline. OC. Ho: The mean response is different for at least one discipline. HA HEth "Phil "oth OD. Ho HEth "Phil Hoth HA HEth #HPhil #Hoth What is the test statistic? F= What is the p-value? p-value = (Round to two decimal places as needed.) (Round to three decimal places as needed.) What is the correct conclusion? A. Reject Ho. There is sufficient evidence to conclude that feelings about the ethics of eating meat vary across the disciplines. B. Do not reject Ho. There is sufficient evidence to conclude that feelings about the ethics of eating meat vary across the disciplines. C. Reject Ho. There is not enough evidence to conclude that feelings about the ethics of eating meat vary across the disciplines. D. Do not reject Ho. There is not enough evidence to conclude that feelings about the ethics of eating meat vary across the disciplines. 1: Eating meat is... Very Some- what "Eating meat is..." Morally Bad Morally Bad 1 2 3 Neutral Some- what Morally Good 5 6 7 8 Ethics Philosophy Others 3 7 5 2 3 7 2 1 5 2 3 6 6 4 8 3 4 6 5 3 5 3 3 8 4 6 4 1 3 5 Very Morally Good 9