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
6th Edition
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Author:Amos Gilat
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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.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F8a28a380-2121-4133-b35d-e9a8f94c0516%2F64062837-76b9-4531-9b0d-d2f76183ea5e%2Frg8qmv9_processed.jpeg&w=3840&q=75)
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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