A researcher wishes to estimate the proportion of college students who cheat on exams. A poll of 550 college students showed that 22% of them had, or intended to, cheat on examinations. Find the margin of error for the 95% confidence interval.

Question

Quizplus · Accepted Answer

The margin of error (ME) for a proportion is calculated using the formula: ME = Z * sqrt[(p*(1-p))/n], where Z is the Z-score for the confidence level (1.96 for 95%), p is the sample proportion (0.22), and n is the sample size (550). Plugging in these values gives ME ≈ 0.0353.

A Researcher Wishes to Estimate the Proportion of College Students