Question

A university interested in tracking its honors program believes that the proportion of graduates with a GPA of 3.00 or below is less than 0.20. In a sample of 200 graduates, 30 students have a GPA of 3.00 or below. In testing the university’s belief, how does one define the population parameter of interest?

Multiple Choice

• It’s the proportion of honors graduates with a GPA of 3.00 or below.

• It’s the standard deviation of the number of honors graduates with a GPA of 3.00 or below.

• It’s the number of honors graduates with a GPA of 3.00 or below.

• It’s the mean number of honors graduates with a GPA of 3.00 or below.

Answer 1

A university interested in tracking its honors program believes that the proportion of graduates with a GPA of 3.00 or below is less than 0.20. In a sample of 200 graduates, 30 students have a GPA of 3.00 or below

In testing the university’s belief, how does one define the population parameter of interest

Population parameter of interest :

It’s the proportion of honors graduates with a GPA of 3.00 or below.

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As university interested in tracking its honors program believes that the proportion of graduates with a GPA of 3.00 or below  is less than 0.20

i.e

Population parameter : p : proportion of graduates with a GPA of 3.00 or below

In testing the university’s belief, i.e to test p : (proportion of graduates with a GPA of 3.00 or below )< 2 ; Therefore,

the population parameter of interest would be defined as proportion of honors graduates with a GPA of 3.00 or below