Solve the problem.
-Suppose you know that the distribution of sample proportions of fifth grade students in a large school district who read below grade level in samples of 100 students is normal with a mean of 0.30 and a standard deviation of 0.12. You select a sample of 100 fifth grade students from this district and find that the proportion who read below grade level in the sample is 0.54. This sample proportion lies 2.0 standard deviations above the mean of the sampling distribution. What is the probability that a second sample would be selected with a proportion
Greater than 0.54 ?
A)0.0228
B)0.9772
C)0.0179
D)0.9821

Question

Quizplus · Accepted Answer

A sample proportion of 0.54 is 2 standard deviations above the mean. The probability of a sample proportion being greater than 2 standard deviations above the mean in a normal distribution is approximately 0.0228.

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