Show all work in the space provided. All work must be shown to obtain full credit. If a calculator function was used, list exactly what was entered into the calculator. 1. In a clinical study of an allergy drug, 108 of the 202 subjects reported experiencing significant relief from their symptoms. At the 0.01 significance level, test the claim that more than half of all those using the drug experience relief. Null and alternative hypothesis (give both in symbolic form and sentence form): Test statistic and p-value (show the calculation or show what you entered into the calculator (screenshots are ok here)): Technical conclusion, circle one: reject the null hypothesis or fail to reject the null hypothesis Nontechnical conclusion addressing the original claim: 2. According to a recent poll 53% of Americans would vote for the incumbent president. If a random sample of 100 people results in 45% who would vote for the incumbent, test the claim that the actual percentage is 53%. Use a 0.10 significance level. Null and alternative hypothesis (give both in symbolic form and sentence form): Test statistic and p-value (show the calculation or show what you entered into the calculator (screenshots are ok here)): Technical conclusion, circle one: reject the null hypothesis or fail to reject the null hypothesis Nontechnical conclusion addressing the original claim: 3. A newly released weight-loss pill is being sold in a certain city. The manufacturer claims that any overweight person who takes the pill as directed will lose 15 lbs within a month. To test this claim, a doctor gives this pill to six overweight people and finds that they lose an average of 12.9 lbs with a standard deviation of 4 lbs. Can we reject the manufactures claim at the 1% level of significance? Null and alternative hypothesis (give both in symbolic form and sentence form): Test statistic and p-value (show the calculation or show what you entered into the calculator (screenshots are ok here)): Technical conclusion, circle one: reject the null hypothesis or fail to reject the null hypothesis Nontechnical conclusion addressing the original claim: 4. Test the claim that the mean age of the prison population in one city is less than 26 years. Sample data are summarized as. Use a significance level of . Null and alternative hypothesis (give both in symbolic form and sentence form): Test statistic and p-value (show the calculation or show what you entered into the calculator (screenshots are ok here)): Technical conclusion, circle one: reject the null hypothesis or fail to reject the null hypothesis Nontechnical conclusion addressing the original claim