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(а) На: р> 0.9, z %3D 1.49 (Б) На: р< о.9, z %3D -2.70 (b) (с) На: р# 0.9, z %3D -2.70

(а) На: р> 0.9, z %3D 1.49 (Б) На: р< о.9, z %3D -2.70 (b) (с) На: р# 0.9, z %3D -2.70

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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**Instructions for Conducting a Z-Test:** **Objective:** To determine the P-value using a Z-test for the null hypothesis \( H_0 : p = 0.9 \). **Procedure:** 1. **Null Hypothesis (H₀):** The population proportion is \( p = 0.9 \). 2. **Z-Test Application:** Evaluate various situations to compute P-values. 3. **P-Value Calculation:** For each situation, determine the corresponding P-value. 4. **Precision:** Ensure all computed P-values are rounded to four decimal places. **Note:** Apply the Z-test formula and statistical tables or software to find the P-value corresponding to the specific scenarios being analyzed. **Contextual Reminder:** The P-value helps determine the strength of evidence against the null hypothesis.
Transcribed Image Text:**Instructions for Conducting a Z-Test:** **Objective:** To determine the P-value using a Z-test for the null hypothesis \( H_0 : p = 0.9 \). **Procedure:** 1. **Null Hypothesis (H₀):** The population proportion is \( p = 0.9 \). 2. **Z-Test Application:** Evaluate various situations to compute P-values. 3. **P-Value Calculation:** For each situation, determine the corresponding P-value. 4. **Precision:** Ensure all computed P-values are rounded to four decimal places. **Note:** Apply the Z-test formula and statistical tables or software to find the P-value corresponding to the specific scenarios being analyzed. **Contextual Reminder:** The P-value helps determine the strength of evidence against the null hypothesis.
### Hypothesis Testing Problems #### (a) Hypothesis: \( H_a: p > 0.9, \, z = 1.49 \) - **Explanation**: This is a one-tailed test where the alternative hypothesis states that the population proportion \( p \) is greater than 0.9. The given z-score is 1.49. #### (b) Hypothesis: \( H_a: p < 0.9, \, z = -2.70 \) - **Explanation**: This is a one-tailed test where the alternative hypothesis suggests that the population proportion \( p \) is less than 0.9. The provided z-score is -2.70. #### (c) Hypothesis: \( H_a: p \neq 0.9, \, z = -2.70 \) - **Explanation**: This is a two-tailed test indicating that the population proportion \( p \) is not equal to 0.9. The z-score associated is -2.70. Each section includes a space for further annotations or calculations, perhaps for determining p-values or drawing conclusions based on the z-scores.
Transcribed Image Text:### Hypothesis Testing Problems #### (a) Hypothesis: \( H_a: p > 0.9, \, z = 1.49 \) - **Explanation**: This is a one-tailed test where the alternative hypothesis states that the population proportion \( p \) is greater than 0.9. The given z-score is 1.49. #### (b) Hypothesis: \( H_a: p < 0.9, \, z = -2.70 \) - **Explanation**: This is a one-tailed test where the alternative hypothesis suggests that the population proportion \( p \) is less than 0.9. The provided z-score is -2.70. #### (c) Hypothesis: \( H_a: p \neq 0.9, \, z = -2.70 \) - **Explanation**: This is a two-tailed test indicating that the population proportion \( p \) is not equal to 0.9. The z-score associated is -2.70. Each section includes a space for further annotations or calculations, perhaps for determining p-values or drawing conclusions based on the z-scores.
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