Answer:
a random sample they should select should be 1692 large.
Explanation:
Given:
a = 0.1
Z(0.05) = 1.645 (from standard normal table)
n = (Z/E)^2*p*(1 - p)
= (1.645/0.02)^2*0.5*0.5
= 1691.266
Therefore, a random sample they should select should be 1692 large.