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Is a weight loss program based on exercise just as effective as a program based on diet? The 53 overweight people put on a strict one year exercise program lost an average of 20 pounds with a standard deviation of 7 pounds. The 41 overweight people put on a strict one year diet lost an average of 15 pounds with a standard deviation of 8 pounds. What can be concluded at the a = 0.01 level of significance? a. For this study, we should use z-test for a population proportion VX b. The null and alternative hypotheses would be: Ho: p1 V V # V X H2 (please enter a decimal) H1 : 41 VVE V X H2 (Please enter a decimal) c. The test statistic t v = 3.172 x (please show your answer to 3 decimal places.) d. The p-value = 0.0000 x (Please show your answer to 4 decimal places.) e. The p-value is s v v a f. Based on this, we should accept X the null hypothesis. g. Thus, the final conclusion is that . The results are statistically insignificant at a = 0.01, so there is insufficient evidence to conclude that the population mean weight loss on the exercise program is different than the population mean weight loss on the diet. The results are statistically significant at o = 0.01, so there is sufficient evidence to conclude that the mean weight loss for the 53 participants on the exercise program is different than the mean weight loss for the 41 participants on the diet. The results are statistically significant at a = 0.01, so there is sufficient evidence to conclude that the population mean weight loss on the exercise program is different than the population mean weight loss on the diet. The results are statistically insignificant at o = 0.01, so there is statistically significant evidence to conclude that the population mean weight loss on the exercise program is equal to the population mean weight loss on the diet. X h. Interpret the p-value in the context of the study There is a 0.22% chance of a Type | error. O If the sample mean weight loss for the 53 participants on the exercise program is the same as the sample mean weight loss for the 41 participants on the diet and if another 53 participants