Graduation, again As in Exercise 37, we hope to estimate the percentage of adults aged 25 to 30 who never graduated from high school. What sample size would allow us to increase our confidence level...

Graduation, again As in Exercise 37, we hope to estimate the percentage of adults aged 25 to 30 who never graduated from high school. What sample size would allow us to increase our confidence level to 95% while reducing the margin of error to only 2%?

Exercise 37

Graduation It’s believed that as many as 25% of adults over 50 never graduated from high school. We wish to see if this percentage is the same among the 25 to 30 age group.

 a) How many of this younger age group must we survey in order to estimate the proportion of non-grads to within 6% with 90% confidence?

 b) Suppose we want to cut the margin of error to 4%. What’s the necessary sample size?

 c) What sample size would produce a margin of error of 3%?