Question

It's believed that as many as 22% 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 8% with 90% confidence? n (Round up to the nearest integer.) b) Suppose we want to cut the margin of error to 6%. What is the necessary sample size? no (Round up to the nearest integer.)

Answer 1

Given of adults over It's believed that as many as 22% 50 never graduated from high school. -0-22 at 90.1 confidence level the critical value in Zoos = 1.645 Margin of enor = 0.08 Required formula: na Ộ 2 C1-P) * (te je na 0:22 * (1-0.2) ( na 0.22 * 0.78 * 422.816406 > n = 72.5552953 [n = 73

Suppose we Cent sample size to 6.). E = 0.06 no Ø * C1-8) * ( *005) = 0.22 * 0.78 * 2.645 12 0.06 0.22 * 0.78 * 751-673613 = 128.987192 n = 129 Rounded to nearest integu.