Question

Income Inequality ~ A random sample of 110 students at a top-ten university were asked if they believe that the federal government should make reducing income inequality a top priority. The estimated standard error of the sample proportion was found to be 0.0477.

A normal distribution can be used to model the sampling distribution of sample proportion. The researchers constructed a confidence interval for the actual proportion of students who believe that the federal government should make reducing income inequality a top priority.

What is the correct interpretation of this standard error?

Question 11 options:

	We have strong evidence that, on average, a new sample will give a sample proportion within 0.0477 of the lower and upper bounds of the confidence interval.
	We expect any sample proportion to be wrong approximately 4.77% of the time, on average.
	In repeated samples of the same size, we will expect, on average, the sample proportions to be within 0.0477 of the actual proportion of interest in this question.
	We can be 4.77% confident that our sample proportion is correctly calculated.

Answer 1