Question

Use the information to answer Q7-10 Clemson found that 6% students said that they were strongly opposed to increases in college tuition. Suppose we have a random sample of 200 students. Let ?̂be the sample proportion.

7. The mean of ?̂is ____.

8. The standard deviation (sometimes called standard error) of ?̂is ____. (4 decimal places)

9. Which of the following can best describe/explain the shape of ?̂?

A. We can’t determine the shape of ?̂.

B. ?̂follows normal distribution because: 1. The sample is random. 2. ? is large enough

C. ?̂follows normal distribution because: 1. The sample is random. 2. ? = 200 ≥ 30.

D. ?̂follows normal distribution because: 1. The sample is random. 2. ?? = 0.06(200) = 12 ≥ 5 and ?(1 − ?) = 0.94(200) = 188 ≥ 5.

10. What is the probability that more than 13 students out of this sample of size 200 are strongly opposed to increases in college tuition. (4 decimal places)

Answer 1