Question

When a higher confidence level is used to estimate a proportion and all other factors involved are held constant

Answer 1

Options :

A) the confidence interval will be wider.

B) the confidence interval will be narrower.

C) there is not enough information to determine the effect on the confidence interval.

D) the confidence interval will be less likely to contain the parameter being estimated.

E) the confidence interval will not be affected.

Answer: A) The confidence interval will be wider

Step-by-step explanation: In statistics, When a higher confidence interval is used to estimate a proportion with other factors being held constant, the confidence interval will be wider. Since the confidence interval is aimed at tweaking the precision of our measurement or estimation, when we adopt a higher confidence level, we are trying g to reduce our chances of being wrong and hence increasing our precision and thus widening the level of confidence in the result obtained. That said, 95% confidence interval is wider than 90%. And 99% is wder than 95%.