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Please show steps so I may understand how the final answer is achieved 6. (7 pts) Subjects in a study included a sample of 30

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6. (7 pts) Subjects in a study included a sample of 30 men who claimed to engage in a variety of sports activities (multisport). The mean body mass index (BMI) for these men was 21 with standard deviation of 2.5. A sample of 25 male rugby players had a mean BMI of 27 with a standard deviation of 3. Is there sufficient evidence for one to claim that, in general, rugby players have a higher BMI than the multisport men? Although the population variances are unknown assume they are equal. Use a significance of 0.01.5. (8 pts) According to a certain website, when both parents have IBD, the risk for their children to develop Crohn's disease is 35%. A study is performed in which 70 out of 220 children whose parents both had irritable bowel disease developed Crohn's disease. a. (5 pts) Is this sufficient evidence at 5% significance to show that the true proportion is different from 0.35? (Use the traditional/critical value test) b. (3 pts) What is the p-value for this test? Based on the p-value, should you accept or reject the null hypothesis? Again, use 5% significance

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