MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
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### Hypothesis Testing Example

**Problem Statement:**
Assume that adults were randomly selected for a poll. They were asked if they “favor or oppose using federal tax dollars to fund medical research using stem cells obtained from human embryos.” Of those polled, 482 were in favor, 403 were opposed, and 122 were unsure. A politician claims that people don't really understand the stem cell issue and their responses to such questions are random responses equivalent to a coin toss. Exclude the 122 subjects who said that they were unsure, and use a 0.05 significance level to test the claim that the proportion of subjects who respond in favor is equal to 0.5. What does the result suggest about the politician’s claim?

**Steps for Statistical Hypothesis Test:**

1. **Identify the null and alternative hypotheses for this test. Choose the correct answer below:**

   - **A.**
     - \(H_0: p = 0.5\)
     - \(H_1: p > 0.5\)
   - **B.**
     - \(H_0: p = 0.5\)
     - \(H_1: p = 0.5\)
   - **C.**
     - \(H_0: p > 0.5\)
     - \(H_1: p = 0.5\)
   - **D.**
     - \(H_0: p = 0.5\)
     - \(H_1: p \neq 0.5\)

2. **Identify the test statistic for this hypothesis test:**
   The test statistic for this hypothesis test is \( \square \) (Round to two decimal places as needed).

3. **Identify the P-value for this hypothesis test:**
   The P-value for this hypothesis test is \( \_\_\_ \) (Round to three decimal places as needed).

4. **Identify the conclusion for this hypothesis test:**
   - **A.** Reject \( H_0 \). There is sufficient evidence to warrant rejection of the claim that the responses are equivalent to a coin toss.
   - **B.** Fail to reject \( H_0 \). There is not sufficient evidence to warrant rejection of the claim that the responses are equivalent to a coin toss.
   - **C.** Reject \( H_0 \). There is not sufficient evidence to warrant rejection
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Transcribed Image Text:### Hypothesis Testing Example **Problem Statement:** Assume that adults were randomly selected for a poll. They were asked if they “favor or oppose using federal tax dollars to fund medical research using stem cells obtained from human embryos.” Of those polled, 482 were in favor, 403 were opposed, and 122 were unsure. A politician claims that people don't really understand the stem cell issue and their responses to such questions are random responses equivalent to a coin toss. Exclude the 122 subjects who said that they were unsure, and use a 0.05 significance level to test the claim that the proportion of subjects who respond in favor is equal to 0.5. What does the result suggest about the politician’s claim? **Steps for Statistical Hypothesis Test:** 1. **Identify the null and alternative hypotheses for this test. Choose the correct answer below:** - **A.** - \(H_0: p = 0.5\) - \(H_1: p > 0.5\) - **B.** - \(H_0: p = 0.5\) - \(H_1: p = 0.5\) - **C.** - \(H_0: p > 0.5\) - \(H_1: p = 0.5\) - **D.** - \(H_0: p = 0.5\) - \(H_1: p \neq 0.5\) 2. **Identify the test statistic for this hypothesis test:** The test statistic for this hypothesis test is \( \square \) (Round to two decimal places as needed). 3. **Identify the P-value for this hypothesis test:** The P-value for this hypothesis test is \( \_\_\_ \) (Round to three decimal places as needed). 4. **Identify the conclusion for this hypothesis test:** - **A.** Reject \( H_0 \). There is sufficient evidence to warrant rejection of the claim that the responses are equivalent to a coin toss. - **B.** Fail to reject \( H_0 \). There is not sufficient evidence to warrant rejection of the claim that the responses are equivalent to a coin toss. - **C.** Reject \( H_0 \). There is not sufficient evidence to warrant rejection
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