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7. Statistical Literacy If the P-value in a statistical test is greater than the level of significance for the test, do we reject or fail to reject H₂?

7. Statistical Literacy If the P-value in a statistical test is greater than the level of significance for the test, do we reject or fail to reject H₂?

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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Please answer number 7. Make sure to show work!!! Thank you! 

### Statistical Literacy and Basic Computation: Setting Hypotheses **7. Statistical Literacy** If the \( P \)-value in a statistical test is greater than the level of significance for the test, do we reject or fail to reject \( H_0 \)? **8. Statistical Literacy** If the \( P \)-value in a statistical test is less than or equal to the level of significance for the test, do we reject or fail to reject \( H_0 \)? **9. Statistical Literacy** Suppose the \( P \)-value in a right-tailed test is \( 0.0092 \). Based on the same population, sample, and null hypothesis, what is the \( P \)-value for a corresponding two-tailed test? **10. Statistical Literacy** Suppose the \( P \)-value in a two-tailed test is \( 0.0134 \). Based on the same population, sample, and null hypothesis, and assuming the test statistic \( z \) is negative, what is the \( P \)-value for a corresponding left-tailed test? **11. Basic Computation: Setting Hypotheses** Suppose you want to test the claim that a population mean equals \( 40 \). - (a) State the null hypothesis. - (b) State the alternate hypothesis if you have no information regarding how the population mean might differ from \( 40 \). - (c) State the alternate hypothesis if you believe (based on experience or past studies) that the population mean may exceed \( 40 \). - (d) State the alternate hypothesis if you believe (based on experience or past studies) that the population mean may be less than \( 40 \). **12. Basic Computation: Setting Hypotheses** Suppose you want to test the claim that a population mean equals \( 30 \). - (a) State the null hypothesis. - (b) State the alternate hypothesis if you have no information regarding how the population mean might differ from \( 30 \). - (c) State the alternate hypothesis if you believe (based on experience or past studies) that the population mean may be greater than \( 30 \). - (d) State the alternate hypothesis if you believe (based on experience or past studies) that the population mean may not be as large as \( 30 \). ### Explanation of Graphs or Diagrams - There are no graphs or diagrams present in
Transcribed Image Text:### Statistical Literacy and Basic Computation: Setting Hypotheses **7. Statistical Literacy** If the \( P \)-value in a statistical test is greater than the level of significance for the test, do we reject or fail to reject \( H_0 \)? **8. Statistical Literacy** If the \( P \)-value in a statistical test is less than or equal to the level of significance for the test, do we reject or fail to reject \( H_0 \)? **9. Statistical Literacy** Suppose the \( P \)-value in a right-tailed test is \( 0.0092 \). Based on the same population, sample, and null hypothesis, what is the \( P \)-value for a corresponding two-tailed test? **10. Statistical Literacy** Suppose the \( P \)-value in a two-tailed test is \( 0.0134 \). Based on the same population, sample, and null hypothesis, and assuming the test statistic \( z \) is negative, what is the \( P \)-value for a corresponding left-tailed test? **11. Basic Computation: Setting Hypotheses** Suppose you want to test the claim that a population mean equals \( 40 \). - (a) State the null hypothesis. - (b) State the alternate hypothesis if you have no information regarding how the population mean might differ from \( 40 \). - (c) State the alternate hypothesis if you believe (based on experience or past studies) that the population mean may exceed \( 40 \). - (d) State the alternate hypothesis if you believe (based on experience or past studies) that the population mean may be less than \( 40 \). **12. Basic Computation: Setting Hypotheses** Suppose you want to test the claim that a population mean equals \( 30 \). - (a) State the null hypothesis. - (b) State the alternate hypothesis if you have no information regarding how the population mean might differ from \( 30 \). - (c) State the alternate hypothesis if you believe (based on experience or past studies) that the population mean may be greater than \( 30 \). - (d) State the alternate hypothesis if you believe (based on experience or past studies) that the population mean may not be as large as \( 30 \). ### Explanation of Graphs or Diagrams - There are no graphs or diagrams present in
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