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 25 scratchers. Follow the steps below to construct a 90% 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 Sample size: Winning scratcher Losing scratcher Point estimate: Number 11 14 Enter the values of the sample size, the point estimate of the population proportion, and the critical value you need for your 90% confidence interval. (Choose the correct critical value from the table of critical values provided.) When you are done, select "Compute". Standard error: Proportion 0.44 0.56 Margin of error: Confidence level Critical

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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 25 scratchers.
Follow the steps below to construct a 90% 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
Sample size:
Point estimate:
Winning scratcher
Losing scratcher
Critical value:
Number
11
14
Enter the values of the sample size, the point estimate of the population proportion, and the critical value you need for your 90% confidence
interval. (Choose the correct critical value from the table of critical values provided.) When you are done, select "Compute".
Standard error:
Proportion
Margin of error:
0.44
0.56
X
Confidence level
3
Critical
value
Transcribed Image Text: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 25 scratchers. Follow the steps below to construct a 90% 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 Sample size: Point estimate: Winning scratcher Losing scratcher Critical value: Number 11 14 Enter the values of the sample size, the point estimate of the population proportion, and the critical value you need for your 90% confidence interval. (Choose the correct critical value from the table of critical values provided.) When you are done, select "Compute". Standard error: Proportion Margin of error: 0.44 0.56 X Confidence level 3 Critical value
(b)
0
Critical value:
0
Compute
0.000
Margin of error:
0.000
90% confidence interval:
Confidence level
90% confidence interval:
99%
95%
90%
Based on your sample, enter the lower and upper limits to graph the 90% confidence interval for the population proportion of all winning scratchers.
Critical
value
20.005=2.576
X
= 1.960
²0.025
0.050 1.645
Ś
1.000
1.000
Transcribed Image Text:(b) 0 Critical value: 0 Compute 0.000 Margin of error: 0.000 90% confidence interval: Confidence level 90% confidence interval: 99% 95% 90% Based on your sample, enter the lower and upper limits to graph the 90% confidence interval for the population proportion of all winning scratchers. Critical value 20.005=2.576 X = 1.960 ²0.025 0.050 1.645 Ś 1.000 1.000
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