Question
Asked Nov 13, 2019
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Giving a test to a group of students, the grades and gender are summarized below
Total
A.
В
C
Male
20
14
43
Female
19
12
49
Total 38
28
26
92
Let T represent the percentage of all female students who would receive a grade of C on this test.
Use a 98% confidence interval to estimate p to three decimal places.
Enter your answer as a tri-linear inequality using decimals (not percents).
<p <
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Giving a test to a group of students, the grades and gender are summarized below Total A. В C Male 20 14 43 Female 19 12 49 Total 38 28 26 92 Let T represent the percentage of all female students who would receive a grade of C on this test. Use a 98% confidence interval to estimate p to three decimal places. Enter your answer as a tri-linear inequality using decimals (not percents). <p <

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Expert Answer

Step 1

It is given that total number of females (N) is 49. Total number of females who get C grade (n) is 19.

 

Thus,

The probability that a female gets C grade, can be calculated as:

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12 49 = 0.244

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Step 2

Check the condition of normality,

if Np and Np(1-p) both are greater than 5, then it will follow normality.

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Np 12 12 Np (1-)12 1- 49 =9.06 Thus, it follows normality

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Step 3

Further,...

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Margin of eror (E)=2o02) x Standard deviation (a) px(1-p) 12 12 -X 1 49 49 49 =0.0614 (0.01) 2.33x 0.0614 =0.1430

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