Math  /  Data & Statistics

QuestionAssume 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, 398 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 0.10 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?
The test statistic for this hypothesis test is 3.04 (Round to two decimal places as needed.) Identify the P -value for this hypothesis test. The P-value for this hypothesis test is 0.002 . (Round to three decimal places as needed.) Identify the conclusion for this hyporitesis test. A. Fail to reject H0\mathrm{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 H0\mathrm{H}_{0}. There is sufficient evidence to warrant rejection of the claim that the responses are equivalent to a coin toss. C. Reject H0\mathrm{H}_{0}. There is not sufficient evidence to warrant rejection of the claim that the responses are equivalent to a coin toss. D. Reject H0\mathrm{H}_{0}. There is sufficient evidence to warrant rejection of the claim that the responses are equivalent to a coin toss.

Studdy Solution
The p-value is **0.002**.
We **reject** the null hypothesis.
The correct answer is **D**.

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