Decide whether the normal sampling distribution can be used. If it can be used, test the claim about the population proportion p at the given level of significance a using the given sample statistics. Claim: p+0.22; a = 0.10; Sample statistics: p= 0.18, n 150 Can the normal sampling distribution be used? O A. Yes, because pq is greater than a = 0.10. O B. Yes, because both np and nq are greater than or equal to 5. O C. No, because np is less than 5. O D. No, because ng is less than 5 State the null and alternative hypotheses. O A. H: ps0.22 H, p>0.22 O B. Ho: p20.22 Hại p<0.22 OC. Hoi p= 0.22 H p+0.22 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. O A. The critical value(s) is/are. (Round to two decimal places as needed. Use a comma to separate answers as needed.) O B. The test cannot be performed. Find the z-test statistic. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. O A. z= (Round to two decimal places as needed.) O B. The test cannot be performed. What is the result of the test? O A. Fail to reject Hg. The data provide sufficient evidence support the claim. O B. Reject Ho. The data do not provide sufficient evidence to support the claim. OC. Reject Ho. The data provide sufficient evidence to support the claim. O D. Fail to reject Hg. The data do not provide sufficient evidence to support the claim. O E. The test cannot be performed.
Decide whether the normal sampling distribution can be used. If it can be used, test the claim about the population proportion p at the given level of significance a using the given sample statistics. Claim: p+0.22; a = 0.10; Sample statistics: p= 0.18, n 150 Can the normal sampling distribution be used? O A. Yes, because pq is greater than a = 0.10. O B. Yes, because both np and nq are greater than or equal to 5. O C. No, because np is less than 5. O D. No, because ng is less than 5 State the null and alternative hypotheses. O A. H: ps0.22 H, p>0.22 O B. Ho: p20.22 Hại p<0.22 OC. Hoi p= 0.22 H p+0.22 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. O A. The critical value(s) is/are. (Round to two decimal places as needed. Use a comma to separate answers as needed.) O B. The test cannot be performed. Find the z-test statistic. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. O A. z= (Round to two decimal places as needed.) O B. The test cannot be performed. What is the result of the test? O A. Fail to reject Hg. The data provide sufficient evidence support the claim. O B. Reject Ho. The data do not provide sufficient evidence to support the claim. OC. Reject Ho. The data provide sufficient evidence to support the claim. O D. Fail to reject Hg. The data do not provide sufficient evidence to support the claim. O E. The test cannot be performed.
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Transcribed Image Text:Decide whether the normal sampling distribution can be used. If it can be used, test the claim about the population proportion \( p \) at the given level of significance \( \alpha \) using the given sample statistics.
**Claim:** \( p \neq 0.22 \); \( \alpha = 0.10 \); Sample statistics: \( \hat{p} = 0.18 \), \( n = 150 \).
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**Can the normal sampling distribution be used?**
- A. Yes, because \( pq \) is greater than \( \alpha = 0.10 \.
- B. Yes, because both \( np \) and \( nq \) are greater than or equal to 5.
- C. No, because \( np \) is less than 5.
- D. No, because \( nq \) is less than 5.
**State the null and alternative hypotheses.**
- A. \( H_0: p \le 0.22 \)
\( H_a: p > 0.22 \)
- B. \( H_0: p \ge 0.22 \)
\( H_a: p < 0.22 \)
- C. \( H_0: p = 0.22 \)
\( H_a: p \neq 0.22 \)
- 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 \(\_\_\)
(Round to two decimal places as needed. Use a comma to separate answers as needed.)
- B. The test cannot be performed.
**Find the z-test statistic.** 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.)
- B. The test cannot be performed.
**What is the result of the test?**
- A. Fail to reject \( H_0 \). The data provide sufficient evidence to support the claim.
- B. Reject \( H_0 \). The data do not provide sufficient evidence to support the claim.
- C. Reject \( H_0 \). The data provide sufficient evidence to support the claim.
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