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%.What does this mean?
A)The true percentage of fathers who feel this way is 23%.
B)If this study was done many times,the estimate of father uncertainty would be 23% about 4% of the time.
C)We can be 4% sure that the estimate of father uncertainty would be 23% of fathers.
D)If the study was done many times,the estimate of father uncertainty would be between 19% and 27%.

Question

Quizplus · Accepted Answer

The statement "plus or minus 4%" indicates a margin of error, meaning that the true percentage of fathers who feel unsure could be up to 4% higher or lower than the reported 23%. Therefore, we can be reasonably confident that the true percentage falls within the range of 19% to 27%. This is the interpretation of a 95% confidence interval, meaning that if we repeated the study many times, approximately 95% of the resulting confidence intervals would contain the true percentage.

DrCyril Conducts a Simple Random Sample of 500 Men Who