Which of the following would result in the widest confidence interval?

Question

Which of the following would result in the widest confidence interval?

a) A sample size of 100 with 90% confidence

b) A sample size of 30 with 95% confidence.

c) A sample size of 100 with 95% confidence

d) A sample size of 100 with 99% confidence.

e) A sample size of 30 with 90% confidence.

f) A sample size of 30 with 99% confidence.

Answer 1

the widest confidence interval has the largest percentage, 99% > 90%

that narrows it down to d) or f)

a sample size of 30 gives less precision than a sample size of 100

so f) gives the widest confidence interval