Solve the Problem. -Suppose You Know That the Distribution of Sample Proportions of Sample

Multiple Choice

Solve the problem.
-Suppose you know that the distribution of sample proportions of the residents of one town over 70 years old in samples of 110 residents is normal with a mean of 0.12 and a standard deviation of 0.02. You select a sample of 110 residents and find that the proportion of residents over 70 is 0.08. The standard score corresponding to this sample proportion is -2. What is the probability that a second sample would be selected with a proportion less
Than 0.08?

A) 0.9821
B) 0.0179
C) 0.9772
D) 0.0228