Question 4 • Probability and Statistics with Applications Honors Sem-2-FL-1210300 (2024-2025)
A confidence interval’s margin of error gets smaller when the confidence level is lowered, because the interval needs to cover fewer possible values with certainty. Changing to a sample of 20 or 25 students would also increase the margin of error, since both are smaller than the original sample of 35. A 99% confidence interval would require a larger margin of error, so constructing a 90% confidence interval decreases it.
AI-written and checked against the verified answer.