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A current area of research interest is the familial aggregation of cardiovascular risk factors in general, and lipid levels in particular. Suppose that it is

A current area of research interest is the familial aggregation of cardiovascular risk factors in general, and lipid levels in particular. Suppose that it is known that the national average cholesterol level in children is 175 mg/dL. A group of men who have died from heart disease within the past year are identified, and the cholesterol levels of 53 of their offspring are measured. The average cholesterol level of the offspring is found to be 180.8 mg/dL with standard deviation 26.5 mg/dL. At ? = .04, can it be concluded that the average cholesterol level of children whose father died from heart disease is higher than the national average?

Answer abc to 4 decimal.

(a)Find the value of the test statistic for the above hypothesis.
(b)Find the critical value.
(c)Find the p-value.
(d)What is the correct way to draw a conclusion regarding the above hypothesis test?
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(A) If the answer in (c) is greater than 0.04 then we conclude at the 4% significance level that the average cholesterol level of children whose father died from heart disease is higher than the national average. (B) If the answer in (c) is less than 0.04 then we cannot conclude at the 4% significance level that the average cholesterol level of children whose father died from heart disease is higher than the national average. (C) If the answer in (b) is greater than the answer in (c) then we cannot conclude at the 4% significance level that the average cholesterol level of children whose father died from heart disease is higher than the national average. (D) If the answer in (a) is greater than the answer in (b) then we cannot conclude at the 4% significance level that the average cholesterol level of children whose father died from heart disease is higher than the national average. (E) If the answer in (b) is greater than the answer in (c) then we conclude at the 4% significance level that the average cholesterol level of children whose father died from heart disease is higher than the national average. (F) If the answer in (a) is greater than the answer in (c) then we conclude at the 4% significance level that the average cholesterol level of children whose father died from heart disease is higher than the national average. (G) If the answer in (a) is greater than the answer in (c) then we cannot conclude at the 4% significance level that the average cholesterol level of children whose father died from heart disease is higher than the national average. (H) If the answer in (c) is less than 0.04 then we conclude at the 4% significance level that the average cholesterol level of children whose father died from heart disease is higher

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