A Simple Random Sample of 450 Residents in the State

question 76

Multiple Choice

A simple random sample of 450 residents in the state of New York is taken to estimate the proportion of people who live within 1 mile of a hazardous waste site.If a 95% confidence interval were calculated for a scenario where p = 0.3 and another scenario where p = 0.7,how would the two confidence intervals compare?

• A)Since the sample proportion in the first scenario is smaller,its confidence interval would be narrower.
• B)Even though the sample proportions are different,the widths of the confidence intervals would be equal.
• C)Since the sample proportion in the second scenario is larger,its confidence interval would be shifted to the right and narrower than the one calculated from the first scenario.
• D)This cannot be determined from the information given.

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