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we are going to examine one of the main findings of the Framingham study: an association...

we are going to examine one of the main findings of the Framingham study: an association between serum cholesterol (i.e., how much cholesterol is in someone's blood) and whether or not that person develops heart disease. We'll use the following null and alternative hypotheses:

Null Hypothesis: In the population, the distribution of cholesterol levels among those who get heart disease is the same as the distribution of cholesterol levels among those who do not. Alternative Hypothesis: The cholesterol levels of people in the population who get heart disease are higher, on average than the cholesterol level of people who do not.

Question: Now that we have a null hypothesis, we need a test statistic. Explain and justify your choice of test statistic in two sentences or less.

Math   Statistics-And-Probability   
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Answer #1

Here,

the null hypothesis is:

In the population, the distribution of cholesterol levels among those who get heart disease is the same as the distribution of cholesterol levels among those who do not

Alternative Hypothesis: The cholesterol levels of people in the population who get heart disease are higher, on average than the cholesterol level of people who do not.

Clearly indicating that this is the comparison of two means

We will use t- statistics for two sample to compare the averges

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