3. Recent research has found that 10% of Americans aged 30-49 played tennis in the past 12 months. A local city wishes to test whether this is true in their city as well. If more than 10% of their residents aged 30-49 play tennis, improvements will be made on their tennis courts. A random survey of 200 residents aged 30-49 found that 48 played tennis. Do we have evidence that more than 10% of the residents play tennis? Use α=.05. Give each of the following to receive full credit: 1) the appropriate null and alternative hypotheses; 2) the appropriate test; 3) the decision rule; 4) the calculation of the test statistic; and 5) your conclusion including a comparison to alpha or the critical value. What do the results mean? You MUST show your work to receive full credit. Partial credit is available. 4. A large national study conducted in 2004 found that the mean systolic blood pressure for males aged 50 was 130. Researchers hypothesize that due to increased stress in the workplace, systolic blood pressures have increased. In order to test this hypothesis a random sample of 200 males aged 50 in 2018 was selected and found to have a mean systolic blood pressure of 136 with a standard deviation of 15. Is there evidence the mean blood pressure has increased? Use α=.05. Give each of the following to receive full credit: 1) the appropriate null and alternative hypotheses; 2) the appropriate test; 3) the decision rule; 4) the calculation of the test statistic; and 5) your conclusion including a comparison to alpha or the critical value. What do the results mean? You MUST show your work to receive full credit. Partial credit is available.
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