4) Let's examine the relationship between CI's and hypothesis tests: Hint: you need to think about how/when confidence levels and hypothesis tests are equivalent. In particular, what happens to a CI as you change the confidence level? (a) You calculate a 99% confidence interval for μ and come up with (-10, -26). If you test Ho: μµ = -24 and use a = .01, will you reject Ho? Why or why not? (b) Now you calculate a 95% CI for μ and come up with (-5, 3). If you test Ho: µ = 4 and use a = .10, will you reject Ho? Why or why not? (c) You calculate a 95% CI for for μ and come up with (-24, 2). If you test Ho: μ=-23 and use a = .01, will you reject Ho? Why or why not? (d) Repeat (b), but now use α = .01 for your hypothesis test (you test Ho: μ=4 and use a = .01).

4) Let's examine the relationship between CI's and hypothesis tests: Hint: you need to think about how/when confidence levels and hypothesis tests are equivalent. In particular, what happens to a CI as you change the confidence level? (a) You calculate a 99% confidence interval for μ and come up with (-10, -26). If you test Ho: μµ = -24 and use a = .01, will you reject Ho? Why or why not? (b) Now you calculate a 95% CI for μ and come up with (-5, 3). If you test Ho: µ = 4 and use a = .10, will you reject Ho? Why or why not? (c) You calculate a 95% CI for for μ and come up with (-24, 2). If you test Ho: μ=-23 and use a = .01, will you reject Ho? Why or why not? (d) Repeat (b), but now use α = .01 for your hypothesis test (you test Ho: μ=4 and use a = .01).

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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According to a report on sleep deprivation by the Centers for Disease Control and Prevention, the proportion of California residents who reported insufficient rest or sleep during each of the preceding 30 days is 8.0%, while this proportion is 8.8% for Oregon residents. These data are based on simple random samples of 11,545 California and 4,691 Oregon residents. Calculate a 95% confidence interval for the difference between the proportions of Californians and Oregonians who are sleep deprived and interpret it in context of the data.
According to a report on sleep deprivation by the Centers for Disease Control and Prevention, the proportion of California residents who reported insufficient rest or sleep during each of the preceding 30 days is 8.0%, while this proportion is 8.8% for Oregon residents. These data are based on simple random samples of 11,545 California and 4,691 Oregon residents. Calculate a 95% confidence interval for the difference between the proportions of Californians and Oregonians who are sleep deprived and interpret it in context of the data. Also, conduct a hypothesis, with alpha = 0.05, test to determine if these data provide strong evidence the rate of sleep deprivation is different for the two states. Construct a 95% confidence interval Which of the following correctly displays the standard error? 0.0046 0.009 0.001 0.00002 0.008
According to a report on sleep deprivation by the Centers for Disease Control and Prevention, the proportion of California residents who reported insufficient rest or sleep during each of the preceding 30 days is 8.0%, while this percent is 8.8% for Oregon residents. These data are based on simple random samples of 11,545 California and 4,691 Oregon residents. Suppose we want to calculate a 99% confidence interval for the difference between the proportions of Californians and Oregonians who are sleepdeprived. 1. State the critical value for the interval (3 decimal places): 2. State the difference between the sample proportions, POregon-PCalifornia (3 decimal places): 3. State the standard error of the difference between the proportions (3 decimal places): 4. State the confidence interval being sure to use proper notation (3 decimal places each):
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