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Change in Study Design or Results The z statistic An increase in the significance level (such as using a = .05 instead of a = .01) Decreases An increase in the population variance (o²) Stays the same An increase in the obtained difference (M - p) A switch from using a two-tailed test to a one-tailed test Decreases Increases Suppose you reject the null hypothesis. Then, the results of your study are

Change in Study Design or Results The z statistic An increase in the significance level (such as using a = .05 instead of a = .01) Decreases An increase in the population variance (o²) Stays the same An increase in the obtained difference (M - p) A switch from using a two-tailed test to a one-tailed test Decreases Increases Suppose you reject the null hypothesis. Then, the results of your study are

MATLAB: An Introduction with Applications
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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**9. Factors that Influence a Hypothesis Test** Suppose you conduct a hypothesis test about a population mean when the standard deviation is known (a "z test") by calculating a z statistic and determining whether to reject the null hypothesis. Assume that your z statistic is a positive value and that you will reject the null hypothesis when z is very large. Listed below are possible changes to the study design or to the results of the study. Determine whether the z statistic increases, decreases, or stays the same for each of these changes. Use the dropdown menus in the right-hand column to indicate your choice. | Change in Study Design or Results | The z statistic | |-------------------------------------------------------------|-----------------| | An increase in the significance level (such as using α = .05 instead of α = .01) | Decreases | | An increase in the population variance (σ²) | (Dropdown to choose: Stays the same, Decreases, Increases) | | An increase in the obtained difference (M - μ) | (Dropdown to choose: Stays the same, Decreases, Increases) | | A switch from using a two-tailed test to a one-tailed test | (Dropdown to choose: Stays the same, Decreases, Increases) | Suppose you reject the null hypothesis. Then, the results of your study are *[follow-on text would continue]*. **Explanation of Diagram:** The table lists specific changes in study design or results and prompts the user to determine the impact on the z statistic. The choices for the effect on the z statistic are provided in a dropdown menu format with options to stay the same, decrease, or increase. Certain options have pre-selected answers indicating the expected effect.
Transcribed Image Text:**9. Factors that Influence a Hypothesis Test** Suppose you conduct a hypothesis test about a population mean when the standard deviation is known (a "z test") by calculating a z statistic and determining whether to reject the null hypothesis. Assume that your z statistic is a positive value and that you will reject the null hypothesis when z is very large. Listed below are possible changes to the study design or to the results of the study. Determine whether the z statistic increases, decreases, or stays the same for each of these changes. Use the dropdown menus in the right-hand column to indicate your choice. | Change in Study Design or Results | The z statistic | |-------------------------------------------------------------|-----------------| | An increase in the significance level (such as using α = .05 instead of α = .01) | Decreases | | An increase in the population variance (σ²) | (Dropdown to choose: Stays the same, Decreases, Increases) | | An increase in the obtained difference (M - μ) | (Dropdown to choose: Stays the same, Decreases, Increases) | | A switch from using a two-tailed test to a one-tailed test | (Dropdown to choose: Stays the same, Decreases, Increases) | Suppose you reject the null hypothesis. Then, the results of your study are *[follow-on text would continue]*. **Explanation of Diagram:** The table lists specific changes in study design or results and prompts the user to determine the impact on the z statistic. The choices for the effect on the z statistic are provided in a dropdown menu format with options to stay the same, decrease, or increase. Certain options have pre-selected answers indicating the expected effect.
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