There is a popular lottery in which a ticket is called a scratcher. An ad for this lottery claims that the42%of the population all scratching posts are winners. You want to investigate this claim by selecting a random sample of48scratching posts Follow these steps to construct a confidence interval for the95%for the population proportion of all winning tickets. Then indicate whether the confidence interval you constructed contradicts the ad claim. (If necessary, you can refer to a list of formulas.) (to) Click on "Take sample" to see the results of the random sample. Take a sample winning scratching post loser scratcher Number 12 36 Proportion 0.25 0.75 Enter the values for the sample size, the point estimate of the population proportion, and the critical value you need to construct the confidence interval of the95%. (Choose the correct critical value from the critical value table provided.) When finished, click on "Calculate".

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
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partially correct
(b): Your answer is wrong.
There is a popular lottery in which a ticket is called a scratcher. An ad for this lottery claims that the42%of the population all scratching posts are winners. You
want to investigate this claim by selecting a random sample of48scratching posts
Follow these steps to construct a confidence interval for the95%for the population proportion of all winning tickets. Then indicate whether the confidence
interval you constructed contradicts the ad claim. (If necessary, you can refer to a list of formulas.)
(to) Click on "Take sample" to see the results of the random sample.
Take a sample
winning scratching
Sample size:
48
post
loser scratcher
Number
12
36
Proportion
0.25
0.75
Enter the values for the sample size, the point estimate of the population proportion, and the critical value you need to construct the confidence
interval of the95%. (Choose the correct critical value from the critical value table provided.) When finished, click on "Calculate".
Standard orror
X
Transcribed Image Text:partially correct (b): Your answer is wrong. There is a popular lottery in which a ticket is called a scratcher. An ad for this lottery claims that the42%of the population all scratching posts are winners. You want to investigate this claim by selecting a random sample of48scratching posts Follow these steps to construct a confidence interval for the95%for the population proportion of all winning tickets. Then indicate whether the confidence interval you constructed contradicts the ad claim. (If necessary, you can refer to a list of formulas.) (to) Click on "Take sample" to see the results of the random sample. Take a sample winning scratching Sample size: 48 post loser scratcher Number 12 36 Proportion 0.25 0.75 Enter the values for the sample size, the point estimate of the population proportion, and the critical value you need to construct the confidence interval of the95%. (Choose the correct critical value from the critical value table provided.) When finished, click on "Calculate". Standard orror X
(b)
Point estimate:
0.25
critical value:
1.96
Calculate
0.000
0.128
0.250
0.063
Error range:
0.123
0.373
Confidence interval of95%:
0.25 +0.123
Based on the sample, plot the confidence interval of the95%for the population proportion of all winning scratching posts.
• Enter the upper bound and lower bound values on the graph to display your confidence interval.
• Under the point (◆), indicate the statement of the ad,0.42.
95% Confidence Interval:
critical values
0.005=2,576
0.010 2,326
20.025 1960
0.050 1,645
0.100=1,282
1.000
Transcribed Image Text:(b) Point estimate: 0.25 critical value: 1.96 Calculate 0.000 0.128 0.250 0.063 Error range: 0.123 0.373 Confidence interval of95%: 0.25 +0.123 Based on the sample, plot the confidence interval of the95%for the population proportion of all winning scratching posts. • Enter the upper bound and lower bound values on the graph to display your confidence interval. • Under the point (◆), indicate the statement of the ad,0.42. 95% Confidence Interval: critical values 0.005=2,576 0.010 2,326 20.025 1960 0.050 1,645 0.100=1,282 1.000
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