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Question 5 Early pools in Georgia Senate race in 2022 showed an estimate of 49% votes for the Democrat candidate. Suppose that the estimated 95% confidence interval for the election results is [46%, 52%]. a) Can you reject the null hypothesis that the true number of votes for the Democrat candidate is exactly 48% at 5% significance level? And that the true value is exactly 44% at the same significance level? b) Do you have enough information to test whether the true number of votes for the Democrat candidate is exactly 47% at 1% significance level? And that the true value is exactly 53% at that same significance level? c) Do you have enough information to test whether the true number of votes for the Democrat candidate is exactly 46.5% at 10% significance level? And that the true value is exactly 45% at that same significance level?

Question 5 Early pools in Georgia Senate race in 2022 showed an estimate of 49% votes for the Democrat candidate. Suppose that the estimated 95% confidence interval for the election results is [46%, 52%]. a) Can you reject the null hypothesis that the true number of votes for the Democrat candidate is exactly 48% at 5% significance level? And that the true value is exactly 44% at the same significance level? b) Do you have enough information to test whether the true number of votes for the Democrat candidate is exactly 47% at 1% significance level? And that the true value is exactly 53% at that same significance level? c) Do you have enough information to test whether the true number of votes for the Democrat candidate is exactly 46.5% at 10% significance level? And that the true value is exactly 45% at that same significance level?

Calculus For The Life Sciences
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter12: Probability
Section12.CR: Chapter 12 Review
Problem 50CR
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Question 5 Early pools in Georgia Senate race in 2022 showed an estimate of 49% votes for the Democrat candidate. Suppose that the estimated 95% confidence interval for the election results is [46%, 52%]. a) Can you reject the null hypothesis that the true number of votes for the Democrat candidate is exactly 48% at 5% significance level? And that the true value is exactly 44% at the same significance level? b) Do you have enough information to test whether the true number of votes for the Democrat candidate is exactly 47% at 1% significance level? And that the true value is exactly 53% at that same significance level? c) Do you have enough information to test whether the true number of votes for the Democrat candidate is exactly 46.5% at 10% significance level? And that the true value is exactly 45% at that same significance level?
Transcribed Image Text:Question 5 Early pools in Georgia Senate race in 2022 showed an estimate of 49% votes for the Democrat candidate. Suppose that the estimated 95% confidence interval for the election results is [46%, 52%]. a) Can you reject the null hypothesis that the true number of votes for the Democrat candidate is exactly 48% at 5% significance level? And that the true value is exactly 44% at the same significance level? b) Do you have enough information to test whether the true number of votes for the Democrat candidate is exactly 47% at 1% significance level? And that the true value is exactly 53% at that same significance level? c) Do you have enough information to test whether the true number of votes for the Democrat candidate is exactly 46.5% at 10% significance level? And that the true value is exactly 45% at that same significance level?
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