RESEARCH METHODOLOGY

Detailed explanation-1: -Answer. Answer: If we had a larger sample size with around the same standard deviation, the 95% confidence interval would be narrower. This is because a larger sample size provides more information and reduces the standard error of the estimate, which leads to a narrower interval.

Detailed explanation-2: -The general form of the confidence interval is ‘ point estimate ± M × S E ^ ( estimate ) . ‘ The point estimate is the sample proportion, , and the estimated standard error is S E ^ ( p ^ ) = p ^ ( 1 − p ^ ) n .