If a normal sampling distribution can be used, identify the rejection region(s). Select the correct choice below and, if necessaly, O A. The rejection region is (Round to two decimal places as needed.) B. The rejection region is z> (Round to two decimal places as needed.) O C. The rejection regions are z< and z>. (Round to two decimal places as needed.) OD. The rejection region is z< (Round to two decimal places as needed.) E. A normal sampling distribution cannot be used. Anou or

MATLAB: An Introduction with Applications
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Chapter1: Starting With Matlab
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Certainly! Here is the transcription of the text from the image, formatted for an educational website:

---

**Problem Statement:**

If a normal sampling distribution can be used, identify the rejection region(s). Select the correct choice below and, if necessary, fill in the answer box(es) to complete your choice.

**Options:**

A. The rejection region is \( z < \_ \)  
   (Round to two decimal places as needed.)

B. The rejection region is \( z > \_ \)  
   (Round to two decimal places as needed.)

C. The rejection regions are \( z < \_ \) and \( z > \_ \)  
   (Round to two decimal places as needed.)

D. The rejection region is \( z < \_ \)  
   (Round to two decimal places as needed.)

E. A normal sampling distribution cannot be used.

**Instructions:**

Click to select and enter your answer(s) and then click Check Answer.

**System Information:**

- There is a progress bar showing "2 parts remaining".
- Below the instructions, a text box is available for input labeled "Type here to search".

---

For visual aids or graphs, an explanation would be provided as necessary. Since the image does not contain graphs or diagrams, there is no additional explanation needed for this particular image.
Transcribed Image Text:Certainly! Here is the transcription of the text from the image, formatted for an educational website: --- **Problem Statement:** If a normal sampling distribution can be used, identify the rejection region(s). Select the correct choice below and, if necessary, fill in the answer box(es) to complete your choice. **Options:** A. The rejection region is \( z < \_ \) (Round to two decimal places as needed.) B. The rejection region is \( z > \_ \) (Round to two decimal places as needed.) C. The rejection regions are \( z < \_ \) and \( z > \_ \) (Round to two decimal places as needed.) D. The rejection region is \( z < \_ \) (Round to two decimal places as needed.) E. A normal sampling distribution cannot be used. **Instructions:** Click to select and enter your answer(s) and then click Check Answer. **System Information:** - There is a progress bar showing "2 parts remaining". - Below the instructions, a text box is available for input labeled "Type here to search". --- For visual aids or graphs, an explanation would be provided as necessary. Since the image does not contain graphs or diagrams, there is no additional explanation needed for this particular image.
The text provides an example of determining whether a normal sampling distribution can be used in hypothesis testing. Here is the transcription and explanation:

---

For the following information, determine whether a normal sampling distribution can be used, where \( p \) is the population proportion, \(\alpha\) is the level of significance, \(\hat{p}\) is the sample proportion, and \( n \) is the sample size. If it can be used, test the claim.

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

- Let \( q = 1 - p \) and let \(\hat{q} = 1 - \hat{p}\). A normal sampling distribution **can** be used here, since \( np \geq 5 \) and \( nq \geq 5 \).

If a normal sampling distribution can be used, identify the hypotheses for testing the claim. Select the correct choice below and, if necessary, fill in the answer boxes to complete your choice.

- A. \( H_0: p = \_, \quad H_a: p \) (Round to two decimal places as needed.)
- B. \( H_0: p < \_, \quad H_a: p \geq \) (Round to two decimal places as needed.)

Click to select and enter your answer(s) and then click Check Answer.

**Additional Information:**
- The interface indicates that there are two parts remaining for the user to input their answers.
- There are boxes to check for each hypothesis option, suggesting that the user will need to input or select values to complete the hypothesis statements.

---

This content would help students understand the process of assessing whether a normal sampling distribution is appropriate and how to set up the null and alternative hypotheses.
Transcribed Image Text:The text provides an example of determining whether a normal sampling distribution can be used in hypothesis testing. Here is the transcription and explanation: --- For the following information, determine whether a normal sampling distribution can be used, where \( p \) is the population proportion, \(\alpha\) is the level of significance, \(\hat{p}\) is the sample proportion, and \( n \) is the sample size. If it can be used, test the claim. - **Claim:** \( p \geq 0.26 \); \(\alpha = 0.08\). Sample statistics: \(\hat{p} = 0.20, n = 170\) - Let \( q = 1 - p \) and let \(\hat{q} = 1 - \hat{p}\). A normal sampling distribution **can** be used here, since \( np \geq 5 \) and \( nq \geq 5 \). If a normal sampling distribution can be used, identify the hypotheses for testing the claim. Select the correct choice below and, if necessary, fill in the answer boxes to complete your choice. - A. \( H_0: p = \_, \quad H_a: p \) (Round to two decimal places as needed.) - B. \( H_0: p < \_, \quad H_a: p \geq \) (Round to two decimal places as needed.) Click to select and enter your answer(s) and then click Check Answer. **Additional Information:** - The interface indicates that there are two parts remaining for the user to input their answers. - There are boxes to check for each hypothesis option, suggesting that the user will need to input or select values to complete the hypothesis statements. --- This content would help students understand the process of assessing whether a normal sampling distribution is appropriate and how to set up the null and alternative hypotheses.
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