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
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Chapter1: Starting With Matlab
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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
  Number Proportion
Winning scratcher
26
0.4
Losing scratcher
39
0.6

Enter the values of the sample size, the point estimate of the population proportion, and the critical value you need for your 

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%
 confidence interval:
 
 
 
 
 

(b)Based on your sample, enter the lower and upper limits to graph the 
95%
 confidence interval for the population proportion of all winning scratchers.

 

95% confidence interval:
0.0001.000
 
 
 
 
 
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