Test the hypothesis using the P-value approach. Be sure to verify the requirements of the test. Ho: p=0.88 versus H₁: p0.88 n=500, x=430, α = 0.05 p= 0.86 (Type an integer or a decimal. Do not round.) Find the test statistic Zo Zo 1.38 (Round to two decimal places as needed.) Find the P-value. P-value = (Round to three decimal places as needed.) Help me solve this View an example # Type here to search O Get more help. Bi a (?) Clear all 4 94°F Mostly sunny Ch AC
Test the hypothesis using the P-value approach. Be sure to verify the requirements of the test. Ho: p=0.88 versus H₁: p0.88 n=500, x=430, α = 0.05 p= 0.86 (Type an integer or a decimal. Do not round.) Find the test statistic Zo Zo 1.38 (Round to two decimal places as needed.) Find the P-value. P-value = (Round to three decimal places as needed.) Help me solve this View an example # Type here to search O Get more help. Bi a (?) Clear all 4 94°F Mostly sunny Ch AC
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 Using the P-value Approach**
Objective: Test the hypothesis using the P-value approach. Be sure to verify the requirements of the test.
Given:
- Null hypothesis (H₀): p = 0.88
- Alternative hypothesis (H₁): p ≠ 0.88
- Sample size (n): 500
- Number of successes (x): 430
- Significance level (α): 0.05
Step 1: Calculate the sample proportion (\(\hat{p}\)):
\[
\hat{p} = 0.86 \quad \text{(Type an integer or a decimal. Do not round.)}
\]
Step 2: Find the test statistic (\(z_0\)):
\[
z_0 = -1.38 \quad \text{(Round to two decimal places as needed.)}
\]
Step 3: Find the P-value:
\[
\text{P-value} = \_ \_ \_ \quad \text{(Round to three decimal places as needed.)}
\]
For additional support:
- "Help me solve this"
- "View an example"
- "Get more help"
**Note:** Below these instructions, there is a toolbar with options, and a "Clear all" button for convenience. At the bottom, it shows that the current weather is "Mostly sunny" with a temperature of 94°F.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F2241529c-3605-4343-8b09-279b4f80df33%2F44296909-fc81-41eb-a9e7-1c17da9fdf44%2F3kr947_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Hypothesis Testing Using the P-value Approach**
Objective: Test the hypothesis using the P-value approach. Be sure to verify the requirements of the test.
Given:
- Null hypothesis (H₀): p = 0.88
- Alternative hypothesis (H₁): p ≠ 0.88
- Sample size (n): 500
- Number of successes (x): 430
- Significance level (α): 0.05
Step 1: Calculate the sample proportion (\(\hat{p}\)):
\[
\hat{p} = 0.86 \quad \text{(Type an integer or a decimal. Do not round.)}
\]
Step 2: Find the test statistic (\(z_0\)):
\[
z_0 = -1.38 \quad \text{(Round to two decimal places as needed.)}
\]
Step 3: Find the P-value:
\[
\text{P-value} = \_ \_ \_ \quad \text{(Round to three decimal places as needed.)}
\]
For additional support:
- "Help me solve this"
- "View an example"
- "Get more help"
**Note:** Below these instructions, there is a toolbar with options, and a "Clear all" button for convenience. At the bottom, it shows that the current weather is "Mostly sunny" with a temperature of 94°F.
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