There is a popular lottery in which a ticket is called a scratcher. You are an auditor and want to estimate the population proportion of all winning scratchers, so you select a random sample of 65 scratchers. Follow the steps below to construct a 95% confidence interval for the population proportion of all winning scratchers
There is a popular lottery in which a ticket is called a scratcher. You are an auditor and want to estimate the population proportion of all winning scratchers, so you select a random sample of 65 scratchers. Follow the steps below to construct a 95% confidence interval for the population proportion of all winning scratchers
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Question
There is a popular lottery in which a ticket is called a scratcher. You are an auditor and want to estimate the population proportion of all winning scratchers, so you select a random sample of
65
scratchers.
Follow the steps below to construct a
95%
confidence interval for the population proportion of all winning scratchers. (If necessary, consult a list of formulas.)
(a)Click on "Take Sample" to see the results from the random sample.
Take Sample
|
|
Enter the values of the
95%
confidence interval. (Choose the correct critical value from the table of critical values provided.) When you are done, select "Compute".
Confidence level | Critical value |
---|---|
99%
|
=z0.0052.576
|
95%
|
=z0.0251.960
|
90%
|
=z0.0501.645
|
Sample size:
Point estimate:
Critical value:
Compute
Standard error:
Margin of error:
95%
|
|
(b)Based on your sample, enter the lower and upper limits to graph the
confidence interval for the population proportion of all winning scratchers.
95%
95% confidence interval:
|
|
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