Claim: p2 0.26; a = 0.08. Sample statistics: p = 0.20, n = 170 O E. A normal sampling distribution cannot be used. If a normal sampling distribution can be used, identify standardized test statistic z. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. Z= (Round to two decimal places as needed.) O B. A normal sampling distribution cannot be used.

MATLAB: An Introduction with Applications
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Author:Amos Gilat
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Chapter1: Starting With Matlab
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**Determining Normal Sampling Distribution for a Proportion**

For the information provided, analyze whether a normal sampling distribution can be used. Here, \( p \) represents the population proportion, \( \alpha \) the level of significance, \( \hat{p} \) the sample proportion, and \( n \) the sample size.

**Given:**
- Claim: \( p \geq 0.26 \)
- \( \alpha = 0.08 \)
- Sample statistics: \( \hat{p} = 0.20 \), \( n = 170 \)

**Question:**
Determine if a normal distribution can be used and test the claim if applicable.

**Options:**
- \( E. \) A normal sampling distribution cannot be used.

If the normal distribution is appropriate, identify the standardized test statistic \( z \). Choose the correct answer and fill in the box if needed:

- \( A. \) \( z = \) [Fill in the blank]   
  *(Round to two decimal places as needed.)*

- \( B. \) A normal sampling distribution cannot be used.

**Instructions:**
Select an option and click "Check Answer" to evaluate your choice.

(Side Note: There is no graph or diagram to explain in the image provided.)
Transcribed Image Text:**Determining Normal Sampling Distribution for a Proportion** For the information provided, analyze whether a normal sampling distribution can be used. Here, \( p \) represents the population proportion, \( \alpha \) the level of significance, \( \hat{p} \) the sample proportion, and \( n \) the sample size. **Given:** - Claim: \( p \geq 0.26 \) - \( \alpha = 0.08 \) - Sample statistics: \( \hat{p} = 0.20 \), \( n = 170 \) **Question:** Determine if a normal distribution can be used and test the claim if applicable. **Options:** - \( E. \) A normal sampling distribution cannot be used. If the normal distribution is appropriate, identify the standardized test statistic \( z \). Choose the correct answer and fill in the box if needed: - \( A. \) \( z = \) [Fill in the blank] *(Round to two decimal places as needed.)* - \( B. \) A normal sampling distribution cannot be used. **Instructions:** Select an option and click "Check Answer" to evaluate your choice. (Side Note: There is no graph or diagram to explain in the image provided.)
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