Question

"Dr. Cyril conducts a simple random sample of 500 men who became fathers for the first time in the last year. He finds that 23% of them report being unsure of their ability to be good fathers, plus or minus 4%. If Dr. Cyril increased his sample size to 1,000, which of the following would happen?"

Answer 1

Answer: The margin of error will decrease.

Explanation: A margin of error is a provision that is made for minor discrepancies that can occur when circumstances change, or miscalculations are incurred. In this case flexibility is made at 4% above or below the 23% that was reported, based on 500 men. However when the sample size increases, the margin of error is likely to decrease as Dr Cyril is dealing with a larger pool of men. This makes his report more accurate as he has more numbers to compare to, decreasing his 4% margin.