Question: A recent hypothesis is that vigorous exercise is an effective preventive measure for subsequent cardiovascular death. To support this hypothesis a random sample of 625 men aged 50 and older are ascertained who report that they jog at 10 miles per week and it is found that after three years, fifty (out of 625) in this study have died of cardiovascular disease.

1. Let p be the true death rate from cardiovascular disease of the group of men aged 50 and over. Find a point estimate for p.
2. State the alternative hypothesis under the researcher’s belief in this case if the true death rate, p, from cardiovascular disease for this age group of men is hypothesized to be 0.1
3. What conclusion would you draw at the significance level of 5% ?
4. What is the P-value for this test?
5. What conclusion would you draw if the significance level is changed to 1%

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