4. The P-value for a two-sided test of the null hypothesis Ho: u = 10 is 0.03.Does the 95% confidence interval for u include 10? Why or why not?Does the 99% confidence interval for u include 10? Why or why not?

For 95% confidence interval, level of significance= 0.05 p-value is 0.03 p-value<the level of…

Answered: 4. The P-value for a two-sided test of…

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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Test the claim that the mean GPA of night students is significantly different than 2.5 at the 0.1 significance level. The null and alternative hypotheses would be: Ho p=0.625 Hop=2.5 Ho: p=0.625 Ho: : H₁: p > 0.625 The test is: right-tailed left-tailed two-tailed о :p = 0.625 Hoμ = 2.5 H₁ μ = 2.5 o H₁:μ> 2.5 H₁: p < 0.625 H₁: p0.625 H₁: μ2.5 H₁: μ< 2.5 Based on a sample of 35 people, the sample mean GPA was 2.47 with a standard deviation of 0.06 The p-value is: -1.645 The positive significance level is: .10 Based on this we: OTT Reject the null hypothesis Fail to reject the null hypothesis X (to 3 decimals) o(to 2 decimals)
We would like to compute a 98% confidence interval on the proportion of CBC students that will be transferring to a 4 year college or university after their time at CBC. The current proportion is unknown and we would like an error of no more than 1.5% in the estimate. How large of a sample needs to be taken?
True or False Q: If a 95% confidence interval for the difference in two independent means is (-4.5 to 2.1), then the point estimate is -2.1.
Can you answer this?
True or False. Provide explanation!
Create a 99.8% confidence interval for the true proportion of all MDS patients on this treatment who will develop leukemia within 5 years of MDS diagnosis. 1. What is the 99.8% confidence interval? 2. What is the correct interpretation of the confidence interval from question 1? 3. Are the assumptions met? Explain. Conduct a hypothesis test at the 0.05 significance level to test this claim. 4. What are the hypotheses? 5. What is the significance level? A. 0.01 B. 0.04 C. 0.05 D. 0.10 6. What is the value of the test statistic? 7. What is the p-value? 8. What is the correct decision? A. Reject the Null Hypothesis B. Fail to Reject the Null Hypothesis C. Accept the Null Hypothesis D. Accept the Alternative Hypothesis 9. What is the appropriate conclusion/interpretation? 10. Are the assumptions met? Explain.
Consider the following two confidence intervals for B₁: 90% confidence interval: [0.49, 29.51] 95% confidence interval: [-2.29, 32.29] You want to test the null hypothesis that B₁ = 0 against the alternative hypothesis that ß₁ ‡ 0. Which of the following is true? Select all that apply. You reject the null hypothesis at the 5% significance level You fail to reject the null hypothesis at the 10% significance level. You fail to reject the null hypothesis at the 5% significance level You reject the null hypothesis at the 10% significance level
A. True or False? A researcher compares the BMI of two populations of individuals from different socioeconomic backgrounds and finds that the proportion of individuals considered obese and from a poor background is .37 (n = 112), and the proportion of individuals considered obese and from an affluent background is .27 (n = 87); a 95% confidence interval for the risk difference for obesity among members of the poor population compared to the affluent population is (-0.03, 0.23). B. Why is it true or false?
Match to the appropriate answer. You will not use all options and you may not use each option more than once. Dummy variable Coefficient (beta) Correlation coefficient Heteroscedasticity p-value R² + Residual A. Used with categorical variable B. Lower value means statistical significance at a higher confidence level. C. When the distribution of residuals does change as the independent variable changes. D. Higher value means statistical significance at a higher confidence level. E. Difference between the predicted and observed values. F. When the distribution of residuals does not change as the independent variable changes. G. Min=-1, Max=1 H. Min-0, Max=1 1. Used to determine how much dependent variables changes if independent variable changed.
If we REJECT the null hypothesis H0: μ=50 at the 0.05 significance level, then the 95% confidence interval for μ will NOT contain the value 50. True False
Test the claim that the mean GPA of night students is smaller than 3.3 at the 0.10 significance level. The null and alternative hypothesis would be: Ho:p 0.825 Ho:p ≤ 0.825 Ho: ≤3.3 Ho: 3.3 Ho: 23.3 Ho:p> 0.825 H₁:p0.825 H₁:p> 0.825 H₁:p>3.3 H₁: 3.3 H₁: <3.3 H₁ p < 0.825 O The test is: right-tailed left-tailed two-tailed Based on a sample of 65 people, the sample mean GPA was 3.26 with a standard deviation of 0.02 The test statistic is: (to 2 decimals) The p-value is: Based on this we: O Fail to reject the null hypothesis O Reject the null hypothesis (to 2 decimals)
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4. The P-value for a two-sided test of the null hypothesis Ho: u = 10 is 0.03. Does the 95% confidence interval for u include 10? Why or why not? Does the 99% confidence interval for u include 10? Why or why not?