For the following information, determine whether a normal sampling distribution can be used, where p is the population proportion, a is the level of significance, pis the sample proportion, and n is the sample size. If it can be used, test the claim. Claim: p20.27; a= 0.04. Sample statistics: p= 0.20, n= 90 Let q=1-p and let q= 1-p. A normal sampling distribution be used here, since np 2 5 and ng can 2 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. O A. Ho: p2 Ha p< (Round to two decimal places as needed.) O B. Ho p= Ha p# (Round to two decimal places as needed.) O C. Ho: p> Ha ps (Round to two decimal places as needed.) O D. Ho p# H p= (Round to two decimal places as needed.) O E. Ho p< ,Ha p (Round to two decimal places as needed.) O F. Ho: ps Ha p> (Round to two decimal places as needed.) O G. Anormal sampling distribution cannot be used. Clear all Check answer View an example Get more help - Help me solve this 47°F iQ

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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: \( p \geq 0.27 \); \( \alpha = 0.04 \). Sample statistics: \( \hat{p} = 0.20 \), \( n = 90 \).

Let \( q = 1 - p \) and let \( \hat{q} = 1 - \hat{p} \). A normal sampling distribution _____ 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. \( H_0: p \geq \) [ ] \( H_a: p < \) [ ] (Round to two decimal places as needed.)

B. \( H_0: p > \) [ ] \( H_a: p \leq \) [ ] (Round to two decimal places as needed.)

C. \( H_0: p \leq \) [ ] \( H_a: p > \) [ ] (Round to two decimal places as needed.)

D. \( H_0: p \neq \) [ ] \( H_a: p = \) [ ] (Round to two decimal places as needed.)

E. \( H_0: p = \) [ ] \( H_a: p \neq \) [ ] (Round to two decimal places as needed.)

F. \( H_0: p \leq \) [ ] \( H_a: p > \) [ ] (Round to two decimal places as needed.)

G. A normal sampling distribution cannot be used.

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(Note: The interactive elements and choice selection are part of a digital educational tool for practicing hypothesis testing in statistics.)
Transcribed Image Text:**Transcription for Educational Website:** 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: \( p \geq 0.27 \); \( \alpha = 0.04 \). Sample statistics: \( \hat{p} = 0.20 \), \( n = 90 \). Let \( q = 1 - p \) and let \( \hat{q} = 1 - \hat{p} \). A normal sampling distribution _____ 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. \( H_0: p \geq \) [ ] \( H_a: p < \) [ ] (Round to two decimal places as needed.) B. \( H_0: p > \) [ ] \( H_a: p \leq \) [ ] (Round to two decimal places as needed.) C. \( H_0: p \leq \) [ ] \( H_a: p > \) [ ] (Round to two decimal places as needed.) D. \( H_0: p \neq \) [ ] \( H_a: p = \) [ ] (Round to two decimal places as needed.) E. \( H_0: p = \) [ ] \( H_a: p \neq \) [ ] (Round to two decimal places as needed.) F. \( H_0: p \leq \) [ ] \( H_a: p > \) [ ] (Round to two decimal places as needed.) G. A normal sampling distribution cannot be used. Buttons: - Help me solve this - View an example - Get more help (Note: The interactive elements and choice selection are part of a digital educational tool for practicing hypothesis testing in statistics.)
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:** \( p \geq 0.27 \); \(\alpha = 0.04\). Sample statistics: \(\hat{p} = 0.20\), \( n = 90 \).

Let \( q = 1 - p \) and let \(\hat{q} = 1 - \hat{p}\). A normal sampling distribution \(\_\_\_ \) 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.

**Options:**
- A. \( H_0: p \geq \) \(\_\_\_\), \( H_a: p < \) \(\_\_\_\) (Round to two decimal places as needed.)
- B. \( H_0: p = \) \(\_\_\_\), \( H_a: p \neq \) \(\_\_\_\) (Round to two decimal places as needed.)
- C. \( H_0: p = \) \(\_\_\_\), \( H_a: p > \) \(\_\_\_\) (Round to two decimal places as needed.)
- D. \( H_0: p \leq \) \(\_\_\_\), \( H_a: p > \) \(\_\_\_\) (Round to two decimal places as needed.)
- E. \( H_0: p \leq \) \(\_\_\_\), \( H_a: p > \) \(\_\_\_\) (Round to two decimal places as needed.)
- F. \( H_0: p = \) \(\_\_\_\), \( H_a: p > \) \(\_\_\_\) (Round to two decimal places as needed.)
- G. A normal sampling distribution cannot be used.

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Transcribed Image Text: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:** \( p \geq 0.27 \); \(\alpha = 0.04\). Sample statistics: \(\hat{p} = 0.20\), \( n = 90 \). Let \( q = 1 - p \) and let \(\hat{q} = 1 - \hat{p}\). A normal sampling distribution \(\_\_\_ \) 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. **Options:** - A. \( H_0: p \geq \) \(\_\_\_\), \( H_a: p < \) \(\_\_\_\) (Round to two decimal places as needed.) - B. \( H_0: p = \) \(\_\_\_\), \( H_a: p \neq \) \(\_\_\_\) (Round to two decimal places as needed.) - C. \( H_0: p = \) \(\_\_\_\), \( H_a: p > \) \(\_\_\_\) (Round to two decimal places as needed.) - D. \( H_0: p \leq \) \(\_\_\_\), \( H_a: p > \) \(\_\_\_\) (Round to two decimal places as needed.) - E. \( H_0: p \leq \) \(\_\_\_\), \( H_a: p > \) \(\_\_\_\) (Round to two decimal places as needed.) - F. \( H_0: p = \) \(\_\_\_\), \( H_a: p > \) \(\_\_\_\) (Round to two decimal places as needed.) - G. A normal sampling distribution cannot be used. **Help Options:** - Help me solve
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