Let p represent the proportion of all male students who would receive a grade of B on this test. Use a 80% confidence interval to estimate p to three decimal places.

MATLAB: An Introduction with Applications
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Author:Amos Gilat
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Chapter1: Starting With Matlab
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Giving a test to a group of students, the grades and gender
are summarized below
A B
C
Total
Male
9
11
25
Female
4
8
18
Total
13
17
13
43
Let p represent the proportion of all male students who
would receive a grade of B on this test. Use a 80%
confidence interval to estimate p to three decimal places.
< p <
Transcribed Image Text:Giving a test to a group of students, the grades and gender are summarized below A B C Total Male 9 11 25 Female 4 8 18 Total 13 17 13 43 Let p represent the proportion of all male students who would receive a grade of B on this test. Use a 80% confidence interval to estimate p to three decimal places. < p <
Expert Solution
Step 1
  A B C Total
Male 9 11 5 25
Female 4 6 8 18
Total 13 17 13 43

Interval proportion for population proportion

Normal distribution as an approximation of the sampling distribution of sample proportion p¯.

p¯ = xn, where p is the population propotion

80% confidence interval for a normal distribution is given in the following table:

Confidence Interval Z
80% 1.282
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