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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?

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?

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 8. Make sure to explain your answer. Thanks!

### Statistical Literacy and Basic Computation on Hypothesis Testing #### Statistical Literacy 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? #### Basic Computation: Setting Hypotheses 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 alternative hypothesis if you have no information regarding how the population mean might differ from 40. - (c) State the alternative hypothesis if you believe (based on experience or past studies) that the population mean may exceed 40. - (d) State the alternative 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 alternative hypothesis if you have no information regarding how the population mean might differ from 30. - (c) State the alternative hypothesis if you believe (based on experience or past studies) that the population mean may be greater than 30. - (d) State the alternative hypothesis if you believe (based on experience or past studies) that the population mean may not be as large as 30.
Transcribed Image Text:### Statistical Literacy and Basic Computation on Hypothesis Testing #### Statistical Literacy 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? #### Basic Computation: Setting Hypotheses 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 alternative hypothesis if you have no information regarding how the population mean might differ from 40. - (c) State the alternative hypothesis if you believe (based on experience or past studies) that the population mean may exceed 40. - (d) State the alternative 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 alternative hypothesis if you have no information regarding how the population mean might differ from 30. - (c) State the alternative hypothesis if you believe (based on experience or past studies) that the population mean may be greater than 30. - (d) State the alternative hypothesis if you believe (based on experience or past studies) that the population mean may not be as large as 30.
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