Question

According to the National Postsecondary Student Aid Study conducted by the U.S. Department of Education in 2008, 62% of graduates from public universities had student loans. We randomly select 50 students at a time. Flag this Question Question 15 pts What is the mean of the distribution of sampling proportions? Do not round, and enter your answer as a proportion (decimal number) not a percentage. Flag this Question Question 25 pts What is the standard error for the distribution of sampling proportions? If necessary, round to three decimal places.

Answer 1

The mean of the sampling proportions is 0.62.

The standard error for the distribution of sampling proportions is 0.069.

Explanation:

The proportion of graduates from public universities that had student loans is p=0.62.

The sampling distribution of the proportions, if the sample are of size n=50, has the following parameters:

`\mu=p=0.62\\\\\sigma=\sqrt{(p(1-p))/(n) } =\sqrt{(0.62*0.38)/(50) } =√(0.004712)=0.069`

The mean of the sampling proportions is 0.62.

The standard error for the distribution of sampling proportions is 0.069.