Question: Question 2

It is believed that 70% of a university department’s graduate assistantships are given to international students. A random sample of 50 graduate assistants is taken.

a) Assume that the population proportion is 0.70. Explain the sampling distribution of the sample proportion in this case.

b) Find the expected value and the standard error of the sampling distribution of the sample proportion.

c) What is the probability that the sample proportion will be between 0.65 and 0.73?

d) What is the probability that the sample proportion will be within ±0.05 of the population proportion?