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It was known, that in a certain population of at risk patients, 5.2% ultimately die of a cardiovascular event in a ve year window. A new medicine is developed with the hope of reducing the rate of death due to a cardiovascular event. A random sample of 2000 people from the population of at risk patients was taken and given the new medicine for ve years. It was found that 82 of them died from a cardiovascular event. Is there evidence that the new medicine is effective in reducing the proportion of cardiovascular deaths? Perform a Hypothesis Test. 1. Describe the population of interest. 2. Describe the sample that was taken. 3. Give the null and alternative hypotheses for determining whether or not the new medicine is effective in reducing the proportion of cardiovascular deaths 4. Verify the conditions. 5. What is the sampling distribution of "p if the null hypothesis is true? 1 6. Calculate the value of the z-test statistic. 7. Determine the p-value for the hypothesis test. 8. Use your p-value to assess the strength of evidence against the null hypothesis. 9. Write a nal statement in terms of the alternative hypothesis