Sample size: A researcher is trying to decide how many people to survey. Which of the following sample sizes will result in a confidence interval with the largest width? 300 700 1000 The width depends on the sample proportion.
Accepted Solution
A:
Answer:Step-by-step explanation:Given that a researcher is trying to decide how many people to survey.We have confidence intervals are intervals with middle value as the mean and on either side margin of error.Confidence interval = Mean ± Margin of errorThus confidence interval width depends on margin of error.Margin of error = [tex]Critical value *\frac{\sigma}{\sqrt{n} }[/tex]Thus for the same confidence level and std deviation we find margin of error is inversely proportional to square root of sample size.Hence for small n we get wide intervals.So if sample size = 300, the researcher will get wider confidence interval