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 120 residents is normal with a mean of 0.12 and a standard deviation of 0.04. You select a sample of 120 residents and find that the proportion of residents over 70 is 0.02. What is the probability that a second sample would be selected with a proportion greater than 0.02?
A)0.0062
B)0.0047
C)0.9938
D)0.9953

Question

Quizplus · Accepted Answer

Given the normal distribution of sample proportions with a mean of 0.12 and a standard deviation of 0.04, a proportion of 0.02 is significantly below the mean. The probability of selecting a sample with a proportion greater than 0.02 is very high, almost certain, hence the correct answer is 0.9938.

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