In order to estimate the proportion, p, of a large class

Chapter 7, Problem 5E

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QUESTION:

In order to estimate the proportion, \(p\), of a large class of college freshmen that had high school GPAs from \(3.2\) to \(3.6\), inclusive, a sample of \(n=50\) students was taken. It was found that \(y=9\) students fell into this interval.

(a) Give a point estimate of \(p\).

(b) Use Equation 7.3-2 to find an approximate \(95 \%\) confidence interval for \(p\).

(c) Use Equation 7.3-4 to find an approximate \(95 \%\) confidence interval for \(p\).

(d) Use Equation 7.3-5 to find an approximate \(95 \%\) confidence interval for \\(p\).

Equation Transcription:

Text Transcription:

p  

n=50  

y=9

95%

Questions & Answers

QUESTION:

In order to estimate the proportion, \(p\), of a large class of college freshmen that had high school GPAs from \(3.2\) to \(3.6\), inclusive, a sample of \(n=50\) students was taken. It was found that \(y=9\) students fell into this interval.

(a) Give a point estimate of \(p\).

(b) Use Equation 7.3-2 to find an approximate \(95 \%\) confidence interval for \(p\).

(c) Use Equation 7.3-4 to find an approximate \(95 \%\) confidence interval for \(p\).

(d) Use Equation 7.3-5 to find an approximate \(95 \%\) confidence interval for \\(p\).

Equation Transcription:

Text Transcription:

p  

n=50  

y=9

95%

ANSWER:

Step 1 of 6

Given,

Sample size,

Let’s determine the following:

 

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