9. We survey 100 people and ask whether they prefer Brand A or Brand B. We compu
ID: 3324912 • Letter: 9
Question
9. We survey 100 people and ask whether they prefer Brand A or Brand B. We compute the sample proportion that prefer Brand A. Based on this p , we compute a 95% confidence interval for the true proportion p. Which of the following would increase the width of the confidence interval A) Ifwe increase the sample size. B) If we decrease the confidence level from 95% to 90%. C) If we use p-0.5 instead of p-p in the estimate of the standard deviation of D) All of A), B) and C) would increase the width of the confidence interval. E) None of the above would increase the width of the confidence interval.Explanation / Answer
1.width of confidence interval is inversely proportional to the sample size means if we increase the sample size then the width of confidence interval will decrease.
2.width of confidence interval is directly proportional to the width of confidence interval, means if we decrease the confidence level then width will decrease.
3. It is not necessary than using p=0.5 instead of estimate of p will increase the width of confidence interval.
i.e none of the above 3 will increase the width of confidence interval
Answer is E.
None of the above would increase the width of the confidence interval.
Related Questions
Navigate
Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.