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Find the P-value for a left-tailed hypothesis test with a test statistic of z= -1.17. Decide whether to reject Ho if the level of significance is α = 0.10. Com P-value = (Round to four decimal places as needed.)

Find the P-value for a left-tailed hypothesis test with a test statistic of z= -1.17. Decide whether to reject Ho if the level of significance is α = 0.10. Com P-value = (Round to four decimal places as needed.)

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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### Hypothesis Testing: Left-Tailed Test and P-Value Calculation #### Example Problem: Find the P-value for a left-tailed hypothesis test with a test statistic of \( z = -1.17 \). Decide whether to reject \( H_0 \) if the level of significance is \( \alpha = 0.10 \). --- **P-value = [ ]** (Round to four decimal places as needed.) ### Explanation: In this problem, we are performing a left-tailed hypothesis test. The given test statistic is \( z = -1.17 \). To find the P-value: 1. **Locate the Z-Score:** Using the Z-table, locate the value of \( z = -1.17 \). This value represents the left-tail area under the standard normal curve. 2. **Calculate the P-value:** The corresponding area (probability) for \( z = -1.17 \) is the P-value. ### Decision Rule: - **If the P-value is less than the level of significance \( \alpha = 0.10 \):** Reject the null hypothesis \( H_0 \). - **If the P-value is greater or equal to the level of significance \( \alpha = 0.10 \):** Do not reject the null hypothesis \( H_0 \).
Transcribed Image Text:### Hypothesis Testing: Left-Tailed Test and P-Value Calculation #### Example Problem: Find the P-value for a left-tailed hypothesis test with a test statistic of \( z = -1.17 \). Decide whether to reject \( H_0 \) if the level of significance is \( \alpha = 0.10 \). --- **P-value = [ ]** (Round to four decimal places as needed.) ### Explanation: In this problem, we are performing a left-tailed hypothesis test. The given test statistic is \( z = -1.17 \). To find the P-value: 1. **Locate the Z-Score:** Using the Z-table, locate the value of \( z = -1.17 \). This value represents the left-tail area under the standard normal curve. 2. **Calculate the P-value:** The corresponding area (probability) for \( z = -1.17 \) is the P-value. ### Decision Rule: - **If the P-value is less than the level of significance \( \alpha = 0.10 \):** Reject the null hypothesis \( H_0 \). - **If the P-value is greater or equal to the level of significance \( \alpha = 0.10 \):** Do not reject the null hypothesis \( H_0 \).
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