The test statistic of z = 1.09 is obtained when testing the claim that p>0.8. a. Identify the hypothesis test as being two-tailed, left-tailed, or right-tailed. b. Find the P-value. c. Using a significance level of a = 0.05, should we reject Ho or should we fail to reject Ho? Click here to view page 1 of the standard normal distribution table. Click here to view page 2 of the standard normal distribution table. a. This is a right-tailed test. b. P-value = |(Round to three decimal places as needed ) %3D

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### Hypothesis Testing Explanation

When testing the claim that \( p > 0.8 \), the test statistic obtained is \( z = 1.09 \). Here’s a step-by-step guide on how to address this hypothesis test:

#### a. Identify the Hypothesis Test

- **Type of Test**: Right-tailed test

This is determined because the claim involves a greater-than symbol (\( p > 0.8 \)), indicating we're looking at the right tail of the distribution to test if the population proportion is greater than 0.8.

#### b. Find the P-value

- **P-value Calculation**: Use the standard normal distribution table to find the corresponding p-value for \( z = 1.09 \).
- **Note**: Ensure to round the P-value to three decimal places as needed.

#### c. Test at a Significance Level of \( \alpha = 0.05 \)

- Determine whether to reject the null hypothesis \( H_0 \) or not.
- **Decision Rule**: If the P-value is less than or equal to the significance level (\( \alpha = 0.05 \)), reject the null hypothesis \( H_0 \). Otherwise, fail to reject \( H_0 \).

### Additional Resources

- **Standard Normal Distribution Table**:
  - [Page 1 of the Standard Normal Distribution Table](#)
  - [Page 2 of the Standard Normal Distribution Table](#)

These tables are crucial for finding the exact probability associated with a given z-score.

By following these steps and utilizing the provided resources, you can determine the outcome of the hypothesis test efficiently and accurately.
Transcribed Image Text:### Hypothesis Testing Explanation When testing the claim that \( p > 0.8 \), the test statistic obtained is \( z = 1.09 \). Here’s a step-by-step guide on how to address this hypothesis test: #### a. Identify the Hypothesis Test - **Type of Test**: Right-tailed test This is determined because the claim involves a greater-than symbol (\( p > 0.8 \)), indicating we're looking at the right tail of the distribution to test if the population proportion is greater than 0.8. #### b. Find the P-value - **P-value Calculation**: Use the standard normal distribution table to find the corresponding p-value for \( z = 1.09 \). - **Note**: Ensure to round the P-value to three decimal places as needed. #### c. Test at a Significance Level of \( \alpha = 0.05 \) - Determine whether to reject the null hypothesis \( H_0 \) or not. - **Decision Rule**: If the P-value is less than or equal to the significance level (\( \alpha = 0.05 \)), reject the null hypothesis \( H_0 \). Otherwise, fail to reject \( H_0 \). ### Additional Resources - **Standard Normal Distribution Table**: - [Page 1 of the Standard Normal Distribution Table](#) - [Page 2 of the Standard Normal Distribution Table](#) These tables are crucial for finding the exact probability associated with a given z-score. By following these steps and utilizing the provided resources, you can determine the outcome of the hypothesis test efficiently and accurately.
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