Question

Please explain step by step.

Giving a test to a group of students, the grades and gender are summarized below

	A	B	C	Total
Male	4	9	8	21
Female	11	15	10	36
Total	15	24	18	57

Let p represent the proportion of all male students who would receive a grade of C on this test. Use a 98% confidence interval to estimate p to three decimal places.

__________________ < p < __________________

Answer 1

Let p represent the proportion of all male students who would receive a grade of C on this test

We need to construct the 98% confidence interval for the population proportion. We have been provided with the following information about the number of favorable cases:

Favorable Cases X =	8
Sample Size N =	21

The sample proportion is computed as follows, based on the sample size N=21 and the number of favorable cases X=8:

The critical value for α=0.02 is .

The corresponding confidence interval is computed as shown below:

0.134 < p < 0.627

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