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, 402 v opposed, and 119 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 119 subjects who said that the 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? Identify the null and alternative hypotheses for this test. Choose the correct answer below. O A. Ho: p= 0.5 H;:p<0.5 O B. Ho: p=0.5 H1:p+0.5 OC. Ho: p=0.5 H:p>0.5 O D. Ho: p#0.5 H:p=0.5 Identify the test statistic for this hypothesis test. The test statistic for this hypothesis test is (Round to two decimal places as needed.) Identify the P-value for this hypothesis test.

College Algebra
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Chapter8: Sequences, Series,and Probability
Section8.7: Probability
Problem 4ECP: Show that the probability of drawing a club at random from a standard deck of 52 playing cards is...
Question

38

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, 402 were
opposed, and 119 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 119 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?
Identify the null and alternative hypotheses for this test. Choose the correct answer below.
O A. Ho:p=0.5
H4:p<0.5
О В. Но: р3D0.5
H1: p#0.5
О с. Но р30.5
H1:p>0.5
O D. Ho: p#0.5
H1:p= 0.5
Identify the test statistic for this hypothesis test.
The test statistic for this hypothesis test is
(Round to two decimal places as needed.)
Identify the P-value for this hypothesis test.
The P-value for this hypothesis test is
(Round to three decimal places as needed.)
Transcribed Image Text: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, 402 were opposed, and 119 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 119 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? Identify the null and alternative hypotheses for this test. Choose the correct answer below. O A. Ho:p=0.5 H4:p<0.5 О В. Но: р3D0.5 H1: p#0.5 О с. Но р30.5 H1:p>0.5 O D. Ho: p#0.5 H1:p= 0.5 Identify the test statistic for this hypothesis test. The test statistic for this hypothesis test is (Round to two decimal places as needed.) Identify the P-value for this hypothesis test. The P-value for this hypothesis test is (Round to three decimal places as needed.)
Identify the conclusion for this hypothesis test.
O A. Fail to reject Ho. There is sufficient evidence to warrant rejection of the claim that the responses are equivalent to a coin toss.
O B. Reject Ho. There is not sufficient evidence to warrant rejection of the claim that the responses are equivalent to a coin toss.
OC. Reject Ho. There is sufficient evidence to warrant rejection of the claim that the responses are equivalent to a coin toss.
O D. Fail to reject Ho. There is not sufficient evidence to warrant rejection of the claim that the responses are equivalent to a coin toss.
What does the result suggest about the politician's claim?
O A. The result suggests that the politician is wrong in claiming that the responses are random guesses equivalent to a coin toss.
O B. The result suggests that the politician is doing his best to accurately portray the feelings of the people.
OC. The result suggests that the politician is correct in claiming that the responses are random guesses equivalent to a coin toss.
O D. The results are inconclusive about whether the politician is correct or not.
Transcribed Image Text:Identify the conclusion for this hypothesis test. O A. Fail to reject Ho. There is sufficient evidence to warrant rejection of the claim that the responses are equivalent to a coin toss. O B. Reject Ho. There is not sufficient evidence to warrant rejection of the claim that the responses are equivalent to a coin toss. OC. Reject Ho. There is sufficient evidence to warrant rejection of the claim that the responses are equivalent to a coin toss. O D. Fail to reject Ho. There is not sufficient evidence to warrant rejection of the claim that the responses are equivalent to a coin toss. What does the result suggest about the politician's claim? O A. The result suggests that the politician is wrong in claiming that the responses are random guesses equivalent to a coin toss. O B. The result suggests that the politician is doing his best to accurately portray the feelings of the people. OC. The result suggests that the politician is correct in claiming that the responses are random guesses equivalent to a coin toss. O D. The results are inconclusive about whether the politician is correct or not.
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