Find the test statistic for the hypothesis test. Select the correct choice below and, if necessary, fill in the answer box within your choice. A. Z= 4.74 (Round to two decimal places as needed.) O B. A hypothesis test is not the most appropriate approach. The proponent should use a confidence interval. Find the p-value. Select the correct choice below and, if necessary, fill in the answer box within your choice. OA. p-value= (Round to three decimal places as needed.) O B. A hypothesis test is not the most appropriate approach. The proponent should use a confidence interval.
Find the test statistic for the hypothesis test. Select the correct choice below and, if necessary, fill in the answer box within your choice. A. Z= 4.74 (Round to two decimal places as needed.) O B. A hypothesis test is not the most appropriate approach. The proponent should use a confidence interval. Find the p-value. Select the correct choice below and, if necessary, fill in the answer box within your choice. OA. p-value= (Round to three decimal places as needed.) O B. A hypothesis test is not the most appropriate approach. The proponent should use a confidence interval.
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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![**Instructions for Hypothesis Testing**
**Step 1: Calculate the Test Statistic**
- *Task*: Find the test statistic for the hypothesis test.
- *Guidance*: Select the correct choice and fill in the answer box as needed.
**Options:**
- **A. \( z = 4.74 \)**
- *Instruction*: Round to two decimal places as needed.
- *Status*: Selected (indicated by a check mark).
- **B.** A hypothesis test is not the most appropriate approach. The proponent should use a confidence interval.
---
**Step 2: Determine the P-value**
- *Task*: Find the p-value.
- *Guidance*: Select the correct choice and fill in the answer box as needed.
**Options:**
- **A. \( \text{p-value} = \) \([ \text{ ]}\)**
- *Instruction*: Round to three decimal places as needed.
- *Note*: Requires input.
- **B.** A hypothesis test is not the most appropriate approach. The proponent should use a confidence interval.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fe3f924a4-c1bd-4937-8223-d0cae5d2153b%2Faffe5937-c3b9-4c81-b7c1-8a14a0fa762c%2F2yy3236_processed.png&w=3840&q=75)
Transcribed Image Text:**Instructions for Hypothesis Testing**
**Step 1: Calculate the Test Statistic**
- *Task*: Find the test statistic for the hypothesis test.
- *Guidance*: Select the correct choice and fill in the answer box as needed.
**Options:**
- **A. \( z = 4.74 \)**
- *Instruction*: Round to two decimal places as needed.
- *Status*: Selected (indicated by a check mark).
- **B.** A hypothesis test is not the most appropriate approach. The proponent should use a confidence interval.
---
**Step 2: Determine the P-value**
- *Task*: Find the p-value.
- *Guidance*: Select the correct choice and fill in the answer box as needed.
**Options:**
- **A. \( \text{p-value} = \) \([ \text{ ]}\)**
- *Instruction*: Round to three decimal places as needed.
- *Note*: Requires input.
- **B.** A hypothesis test is not the most appropriate approach. The proponent should use a confidence interval.
![A proponent of a new proposition on a ballot wants to know whether the proposition is likely to pass. The proposition will pass if it gets more than 50% of the votes. Suppose a poll is taken, and 575 out of 1000 randomly selected people support the proposition. Should the proponent use a hypothesis test or a confidence interval to answer this question? Explain. If it is a hypothesis test, state the hypotheses and find the test statistic, p-value, and conclusion. Use a 1% significance level. If a confidence interval is appropriate, find the approximate 98% confidence interval. In both cases, assume that the necessary conditions have been met.
---
**Should the proponent use a hypothesis test or a confidence interval?**
- **A.** (Selected) The proponent should use a hypothesis test because the proponent wants to know whether or not the proposition will pass.
- B. The proponent should use a confidence interval because the proponent wants to know the proportion of the population who will vote for the proposition.
- C. The proponent should use a hypothesis test because the proponent wants to know the proportion of the population who will vote for the proposition.
- D. Neither is appropriate.
---
**If a hypothesis test is the most appropriate approach, determine the null and alternative hypotheses for the hypothesis test. Let \( p \) denote the population proportion of voters in favor of the proposition. Select the correct choice below and, if necessary, fill in the answer boxes within your choice.**
*(Type integers or decimals. Do not round.)*
- **A.** (Selected)
- \( H_0: p = 0.50 \)
- \( H_a: p > 0.50 \)
- B.
- \( H_0: p = \) [ ]
- \( H_a: p < \) [ ]
- C.
- \( H_0: p < \) [ ]
- \( H_a: p > \) [ ]
- D.
- \( H_0: p = \) [ ]
- \( H_a: p \neq \) [ ]
- E.
- \( H_0: p = \) [ ]
- \( H_a: p < \) [ ]
- F. A hypothesis test is not the most appropriate approach. The proponent should use a confidence interval.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fe3f924a4-c1bd-4937-8223-d0cae5d2153b%2Faffe5937-c3b9-4c81-b7c1-8a14a0fa762c%2Fbgo5czn_processed.png&w=3840&q=75)
Transcribed Image Text:A proponent of a new proposition on a ballot wants to know whether the proposition is likely to pass. The proposition will pass if it gets more than 50% of the votes. Suppose a poll is taken, and 575 out of 1000 randomly selected people support the proposition. Should the proponent use a hypothesis test or a confidence interval to answer this question? Explain. If it is a hypothesis test, state the hypotheses and find the test statistic, p-value, and conclusion. Use a 1% significance level. If a confidence interval is appropriate, find the approximate 98% confidence interval. In both cases, assume that the necessary conditions have been met.
---
**Should the proponent use a hypothesis test or a confidence interval?**
- **A.** (Selected) The proponent should use a hypothesis test because the proponent wants to know whether or not the proposition will pass.
- B. The proponent should use a confidence interval because the proponent wants to know the proportion of the population who will vote for the proposition.
- C. The proponent should use a hypothesis test because the proponent wants to know the proportion of the population who will vote for the proposition.
- D. Neither is appropriate.
---
**If a hypothesis test is the most appropriate approach, determine the null and alternative hypotheses for the hypothesis test. Let \( p \) denote the population proportion of voters in favor of the proposition. Select the correct choice below and, if necessary, fill in the answer boxes within your choice.**
*(Type integers or decimals. Do not round.)*
- **A.** (Selected)
- \( H_0: p = 0.50 \)
- \( H_a: p > 0.50 \)
- B.
- \( H_0: p = \) [ ]
- \( H_a: p < \) [ ]
- C.
- \( H_0: p < \) [ ]
- \( H_a: p > \) [ ]
- D.
- \( H_0: p = \) [ ]
- \( H_a: p \neq \) [ ]
- E.
- \( H_0: p = \) [ ]
- \( H_a: p < \) [ ]
- F. A hypothesis test is not the most appropriate approach. The proponent should use a confidence interval.
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