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- For each of the following scenarios, identify: the population of interest, the outcome variable being measured on each observational unit, whether the outcome variable being measured is categorical or quantitative/Continuous, the parameter of interest, define both in words and using the appropriate statistical symbol (π, π1 -π2, µ, µ1 - µ2, or µd), and the null and alternative hypotheses, written in correct statistical notation (not in words) (a) To examine the safety of working in a nuclear power plant, we assess deaths due to cancer among all deaths at a particular power plant. Based on vital statistics, about 20% of all deaths can be attributed to some form of cancer. (b) A randomized trial study is performed to compare survival (time to death in months) two chemotherapy drugs (A vs B) among cancer patients. A sample of cancer patients are randomly assigned to treatment A or B.State the null and alternative hypotheses. We want to test if the most popular brand of soda contains 355ml. We want to test if the average recovery time for knee surgery patients is 8.2 weeks when exposed to a thorough exercise program.The desired percentage of SiO2 in a certain type of aluminous cement is 5.5. To test whether the true average percentage is 5.5 for a particular production facility, 16 independently obtained samples are analyzed. Suppose that the percentage of SiO2 in a sample is normally distributed with ? = 0.32 and that x = 5.21. (Use ? = 0.05.) (a) Does this indicate conclusively that the true average percentage differs from 5.5?State the appropriate null and alternative hypotheses. H0: ? = 5.5Ha: ? ≠ 5.5H0: ? = 5.5Ha: ? ≥ 5.5 H0: ? = 5.5Ha: ? < 5.5H0: ? = 5.5Ha: ? > 5.5 Calculate the test statistic and determine the P-value. (Round your test statistic to two decimal places and your P-value to four decimal places.) z = P-value = State the conclusion in the problem context. Do not reject the null hypothesis. There is sufficient evidence to conclude that the true average percentage differs from the desired percentage.Reject the null hypothesis. There is sufficient evidence…