A similar poll was conducted 2 years ago, and reported the 95% confidence interv
ID: 3267619 • Letter: A
Question
A similar poll was conducted 2 years ago, and reported the 95% confidence interval for p, the proportion of U.S. adults who believe the use of marijuana should be legalized, to be (.48 , .54). Do you think that the results of the current study (where the 95% confidence interval is (.53 , .59) provide evidence that the public opinion on the topic of legalization of marijuana has changed over the past two years? (Context: A poll asked a random sample of 1,000 U.S. adults, "Do you think that the use of marijuana should be legalized?" 560 of those asked answered yes.)
No, we do not have evidence to conclude that the public opinion has changed. The two confidence intervals (.48, .54) and (.53, .59) overlap, which means that there are some plausible values for p that the two polls share, and we cannot rule out the possibility that p is one of these values.
No, we do not have evidence to conclude that the public opinion has changed. The two confidence intervals (.48, .54) and (.53, .59) overlap, which means that there are no plausible values for p that the two polls share. So we cannot rule out the possibility that p is one of these values.
Yes, we have evidence to conclude that the public opinion has changed. The two confidence intervals (.48, .54) and (.53, .59) overlap, which means that there are some plausible values for p that the two polls share, so we know they could share values.
Yes, we have evidence to conclude that the public opinion has changed. The two confidence intervals (.48, .54) and (.53, .59) do not overlap, which means that there are not some plausible values for p that the two polls share.
Explanation / Answer
first option is correct:
No, we do not have evidence to conclude that the public opinion has changed. The two confidence intervals (.48, .54) and (.53, .59) overlap, which means that there are some plausible values for p that the two polls share, and we cannot rule out the possibility that p is one of these values.
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