(06.04 MC) A few months before a statewide election, 584 individuals responded t
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Question
(06.04 MC) A few months before a statewide election, 584 individuals responded to a poll of 1,000 randomly selected registered voters, indicating they favor candidate X for governor (P1 0.5840). One month before the election, a second poll of 950 registered voters is conducted and 401 individuals respond who indicate they favor candidate X ( 2 = 0.4221). A 95% two-proportion z confidence interval for the true difference between the proportions favoring candidate X in the first and second polls was constructed and found to be (0.1181, 0.2057). Which of the following is the best interpretation of this interval? (4 points) There has not been a significant decrease in support for candidate X. There has been a significant decrease in support for candidate X There has been no change in support for candidate X. Because the confidence interval is positive, candidate X is likely to win a majority of votes in the general election. Because support for candidate X has decreased below 50%, this candidate is unlikely to win a majority of votes in the general election.Explanation / Answer
as our confidence interval does not contain ) therefore Cnfidence interval predict that there is a significant decrease in support of candidate X
option 2 is correct
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