Decide whether the normal sampling distribution can be used. If it can be used, test the claim about the population proportionp at the given level of significance a using the given sample statistics. Claim: p#0.28; a=0.01; Sample statistics: p=0.21, n = 100 Ha p>0.28 B. Ho p= 0.28 Ha p 0.28 O C. Ho: p20.28 Ha p<0.28 O D. The test cannot be performed. Determine the critical value(s). Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. The critical value(s) is/are - 2.58, 2.58 (Round to two decimal places as needed. Use a comma to separate answers as needed.) O B. The test cannot be performed. ot choice helow and, if necessary, fill in the answer box to complete your choice.

MATLAB: An Introduction with Applications
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ISBN:9781119256830
Author:Amos Gilat
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Chapter1: Starting With Matlab
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**Educational Website Transcription:**

**Understanding Hypothesis Testing: A Practical Example**

This exercise guides you through the process of hypothesis testing using the normal sampling distribution and sample statistics. Here's a detailed breakdown of the steps involved in this process:

1. **Claim and Hypotheses:**
   - **Claim:** \( p \neq 0.28 \)
   - **Level of significance:** \( \alpha = 0.01 \)
   - **Sample statistics:** \( \hat{p} = 0.21 \), \( n = 100 \)

2. **Choosing the Null and Alternative Hypotheses:**
   - Option B is the correct choice, indicating:
     - \( H_0: p = 0.28 \)
     - \( H_a: p \neq 0.28 \)

3. **Determine the Critical Value(s):**
   - Calculated critical values are: \(-2.58, 2.58\). These values are essential for deciding whether to reject the null hypothesis.

4. **Find the Z-test Statistic:**
   - The Z-test statistic needs to be calculated and entered. Make sure to round your answer to two decimal places.

**Instructions for Completing the Exercise:**
- Enter the Z-test statistic in the provided field.
- Check your answer using the 'Check Answer' button.
- Once completed, click 'Final Check' to submit your responses.

**Note:**
This exercise demonstrates the importance of understanding each component of hypothesis testing, from formulating hypotheses to interpretation of critical values and test statistics.
Transcribed Image Text:**Educational Website Transcription:** **Understanding Hypothesis Testing: A Practical Example** This exercise guides you through the process of hypothesis testing using the normal sampling distribution and sample statistics. Here's a detailed breakdown of the steps involved in this process: 1. **Claim and Hypotheses:** - **Claim:** \( p \neq 0.28 \) - **Level of significance:** \( \alpha = 0.01 \) - **Sample statistics:** \( \hat{p} = 0.21 \), \( n = 100 \) 2. **Choosing the Null and Alternative Hypotheses:** - Option B is the correct choice, indicating: - \( H_0: p = 0.28 \) - \( H_a: p \neq 0.28 \) 3. **Determine the Critical Value(s):** - Calculated critical values are: \(-2.58, 2.58\). These values are essential for deciding whether to reject the null hypothesis. 4. **Find the Z-test Statistic:** - The Z-test statistic needs to be calculated and entered. Make sure to round your answer to two decimal places. **Instructions for Completing the Exercise:** - Enter the Z-test statistic in the provided field. - Check your answer using the 'Check Answer' button. - Once completed, click 'Final Check' to submit your responses. **Note:** This exercise demonstrates the importance of understanding each component of hypothesis testing, from formulating hypotheses to interpretation of critical values and test statistics.
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