Question

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, 490 were in​ favor, 402 were​ opposed, and 120 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 120 subjects who said that they were​ unsure, and use a 0.10 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. A. Upper H 0 ​: pnot equals 0.5Upper H 1 ​: pequals 0.5 B. Upper H 0 ​: pequals 0.5Upper H 1 ​: pgreater than 0.5 C. Upper H 0 ​: pequals 0.5Upper H 1 ​: pnot equals 0.5 D. Upper H 0 ​: pequals 0.5Upper H 1 ​: pless than 0.5 Identify the test statistic for this hypothesis test. The test statistic for this hypothesis test is nothing . ​(Round to two decimal places as​ needed.) Identify the​ P-value for this hypothesis test. The​ P-value for this hypothesis test is nothing . ​(Round to three decimal places as​ needed.) Identify the conclusion for this hypothesis test. A. Reject Upper H 0 . There is not sufficient evidence to warrant rejection of the claim that the responses are equivalent to a coin toss. B. Fail to reject Upper H 0 . There is not sufficient evidence to warrant rejection of the claim that the responses are equivalent to a coin toss. C. Reject Upper H 0 . There is sufficient evidence to warrant rejection of the claim that the responses are equivalent to a coin toss. D. Fail to reject Upper H 0 . There is 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? A. The result suggests that the politician is correct in claiming that the responses are random guesses equivalent to a coin toss. B. The results are inconclusive about whether the politician is correct or not. C. The result suggests that the politician is doing his best to accurately portray the feelings of the people. D. The result suggests that the politician is wrong in claiming that the responses are random guesses equivalent to a coin toss.

Answer 1