## Hypothesis Testing Guide### ContextSuppose you perform the hypothesis test \( H_0: \mu = 25 \) versus \( H_1: \mu \neq 25 \). The population variance, \( \sigma^2 \), is known. The sample size is \( n = 53 \). Assume the significance level is 0.01.### Part 1: Choosing the Test1) **Should you use \( z \) or \( t \) to find the critical value?**- **Answer**: \( z \)When the population variance is known, and the sample size is large (\( n > 30 \)), the \( z \)-test is appropriate.### Part 2: Identifying the Critical Region2) **Choose the correct critical region.****Options**:- Reject \( H_0 \) if \( z > z_\alpha \)- Reject \( H_0 \) if \( z \geq z_\alpha \)- Reject \( H_0 \) if \( z > \frac{z_\alpha}{2} \)- Reject \( H_0 \) if \( z \geq \frac{z_\alpha}{2} \)- Reject \( H_0 \) if \( z < -z_\alpha \)- Reject \( H_0 \) if \( z \leq -z_\alpha \)- Reject \( H_0 \) if \( z < -\frac{z_\alpha}{2} \)- Reject \( H_0 \) if \( z \leq \frac{z_\alpha}{2} \)- Reject \( H_0 \) if \( z < -z_\alpha \) or \( z > z_\alpha \)- Reject \( H_0 \) if \( z \leq -z_\alpha \) or \( z \geq z_\alpha \)- Reject \( H_0 \) if \( z < -\frac{z_\alpha}{2} \) or \( z > \frac{z_\alpha}{2} \)- Reject \( H_0 \) if \( z \leq -\frac{z_\alpha}{2} \) or \( z \geq \frac{z_\alpha}{2} \)In a two-tailed test with significance level \( \alpha = 0.01

We want to tell you which one is the correct choice

Answered: Suppose you perform the hypothesis test…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

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Problem 1P

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31. The data below show sport preference and age of participant from a random sample of members of a sports club. Is there evidence to suggest that they are related? Tennis Swimming Basketball 18-25 76 97 100 26-30 91 100 92 31-40 81 68 77 Over 40 50 46 35 What can be concluded at the αα = 0.10 significance level? What is the correct statistical test to use? Independence Goodness-of-Fit Homogeneity Paired t-test What are the null and alternative hypotheses?H0: Age and sport preference are dependent. The age distribution is the same for each sport. The age distribution is not the same for each sport. Age and sport preference are independent. H1: Age and sport preference are dependent. The age distribution is not the same for each sport. The age distribution is the same for each sport. Age and sport preference are independent. The test-statistic for this data = (Please show your answer to three decimal places.) The p-value for this sample =…
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Fill in the blanks. a. Multicollinearity is considered to be severe if the VIF for one or more predictor variables is ______. or greater. b. If the coefficient of multiple determination for the regression of the predictor variable x11 on all the other predictor variables in a regression equation is 0.6, then the VIF for x1 is ______. c. The effect of multicollinearity in a polynomial regression analysis can be reduced by ______. the predictor variable.
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Use a y-test to test the claim o 2 41 at the a = 0.01 significance level using sample statistics s 37.8 and n= 19 Assume the population is normally distributed.
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