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A survey of 675 randomly selected adults from Idaho over the age of 18 finds that 54% are married. The 90% confidence interval for the
A survey of 675 randomly selected adults from Idaho over the age of 18 finds that 54% are married. The 90% confidence interval for the true proportion of adults from Idaho over the age of 18 that are married is (0.508,0.572). Can we conclude that a majority of adults from Idaho over the age of 18 are married? Yes; Since the confidence interval limits are both greater than 50%, we can reasonably conclude that a majority of adults from Idaho over the age of 18 are married. Yes; Since the proportion of adults from Idaho who are married is 54%, and this is higher than 50%, we can conclude that a majority of adults from Idaho over the age of 18 are married. Yes; 575 is a large sample size. No; The confidence interval limits are not large enough to determine that a majority of adults from Idaho over the age of 18 are married. The proportion would need to be much greater than 50%, and the one above is only slightly larger. No; The data does not include all adults over the age of 18 from Idaho, so we cannot make a conclusion about the population. No; The interval is too small
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