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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, 489 were in favor, 395 were opposed, and 116 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 116 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?

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, 489 were in favor, 395 were opposed, and 116 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 116 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?

MATLAB: An Introduction with Applications
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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### Hypothesis Testing for Public Opinion Poll on Funding Stem Cell Research 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, 489 were in favor, 395 were opposed, and 116 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 116 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 to Solve 1. **Identify the Null and Alternative Hypotheses:** Choose the correct answer below. - A. \( H_0: p = 0.5 \) \( H_1: p = 0.5 \) - B. \( H_0: p = 0.5 \) \( H_1: p \neq 0.5 \) - C. \( H_0: p = 0.5 \) \( H_1: p > 0.5 \) - D. \( H_0: p = 0.5 \) \( H_1: p < 0.5 \) 2. **Identify the Test Statistic for This Hypothesis Test:** The test statistic for this hypothesis test is \( \boxed{} \). (Round to two decimal places as needed.) 3. **Identify the P-value for This Hypothesis Test:** The P-value for this hypothesis test is \( \boxed{} \). (Round to three decimal places as needed.) 4. **Identify the Conclusion for This Hypothesis Test:** Choose the correct answer below. - A. Fail to reject \( H_0 \). There is sufficient evidence to warrant rejection of the claim that the responses are equivalent to a coin toss. - B. 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 sufficient evidence to warrant rejection of the claim that the responses are equivalent to a coin
Transcribed Image Text:### Hypothesis Testing for Public Opinion Poll on Funding Stem Cell Research 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, 489 were in favor, 395 were opposed, and 116 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 116 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 to Solve 1. **Identify the Null and Alternative Hypotheses:** Choose the correct answer below. - A. \( H_0: p = 0.5 \) \( H_1: p = 0.5 \) - B. \( H_0: p = 0.5 \) \( H_1: p \neq 0.5 \) - C. \( H_0: p = 0.5 \) \( H_1: p > 0.5 \) - D. \( H_0: p = 0.5 \) \( H_1: p < 0.5 \) 2. **Identify the Test Statistic for This Hypothesis Test:** The test statistic for this hypothesis test is \( \boxed{} \). (Round to two decimal places as needed.) 3. **Identify the P-value for This Hypothesis Test:** The P-value for this hypothesis test is \( \boxed{} \). (Round to three decimal places as needed.) 4. **Identify the Conclusion for This Hypothesis Test:** Choose the correct answer below. - A. Fail to reject \( H_0 \). There is sufficient evidence to warrant rejection of the claim that the responses are equivalent to a coin toss. - B. 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 sufficient evidence to warrant rejection of the claim that the responses are equivalent to a coin
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