SUPER URGENT. Each year, the high school guidance counselors conduct a survey to estimate proportion...

Question

each year, the high school guidance counselors conduct a survey to estimate the proportion of students at the school who cheat on their homework. Based on a random sample of 300 students from the high school, a 99% confidence interval for the proportion of all students at the high school who cheat on their homework is 0.052 to 0.192.

a) To reduce the margin of error should the counselor obtain a larger or smaller sample of students?

[a] Larger

[b] Smaller

b) To reduce the margin of error should the counselor lower or increase the level of confidence?

[a] Lower

[b] Increase

Answer 1

Hi Sandra,

As the sample size increases, the margin of error decreases. This relationship is called an inverse because the two move in opposite directions. Just look at it this way: the more data you collect, the more confident you will be about your results.

Hope that helps!