Question

True or False? To reduce the length of a confidence interval of the population proportion, we can either increase the sample size or decrease the confidence level.

Answer 1

Solution

True

If the length of the confidence interval is high we cannot be sure of the true value of a parameter like mean,etc.,But there are the following characteristics which can be adjusted that would result in  length of the confidence interval getting altered

(a) Sample size - By increasing the sample size .The more observations we make the narrower the interval around the sample statistic becomes.

(b) Variability - Reduce the variability

(c) Type of confidence interval - A one-sided confidence level would have a smaller-margin of error than a two-sided confidence interval.

(d) Confidence Level - Lowering / decreasing the confidence level