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Lab Fell2017 (Protected Viewj -word t References Mailings Review View Enable Edi

ID: 3275125 • Letter: L

Question

Lab Fell2017 (Protected Viewj -word t References Mailings Review View Enable Editing nternet can contain vituses. Unless you need to edit, it's safer to stay in Protected View Answer the following questions showing all work. Full credit will not be given to answers without work shown. If you use Minitab Express or StatKey include the appropriate output (copy + paste). If you do hand caleulations show your work using the Word equation editor. Clearly identify your final answers. Output without explanation will not receive full eredit and answers with no output or explanation will not receive full credit Round all answers to 3 decimal places. If you have any questions, post them to the course discussion board. 1. For this question set you are going to use StatKey to construct bootstrap confidence intervals using the percentile method You much include screenshots of all relevant StatKey distributions cropped down to show only the relevant parts of your screen You must always clearly identify your final answers. 140 points, 8 points each A. Given x = 6 and n-20, construct a 95% confidence interval for p. B. Given x 60 and n 200, construct a 95% confidence interval for p. C. (4 pts) Given x 60 and n = 200, construct a 99% confidence interval for p. D. In parts A and B the sample proportion was the same but the sample size changed. How did the confidence interval change when the sample size increased? Explain why E. In parts B and C the samples were the same, but the confidence level changed. How did the confidence interval change when the confidence level was increased? Explain why

Explanation / Answer

a.

Test and CI for One Proportion

Sample X   N Sample p         95% CI
1       6 20 0.300000 (0.099163, 0.500837)

Using the normal approximation.


b.'

Test and CI for One Proportion

Sample   X    N Sample p         95% CI
1       60 200 0.300000 (0.236490, 0.363510)

Using the normal approximation.


c.

Test and CI for One Proportion

Sample   X    N Sample p         99% CI
1       60 200 0.300000 (0.216534, 0.383466)

d.

Increasing the sample size decreases the width of confidence intervals, because it decreases the standard error.

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