Question

In a simple random sample of 500 freshman students, 276 of them live on campus. You want to claim that majority of college freshman students in US live on campus.

A) Are the assumptions for making a 95% confidence interval for the true proportion of all college freshman students in the United States who live on campus satisfied? yes/no?

B) What is the sample proportion?

C.) A 95% confidence interval for the actual proportion of college freshman students in the United States who live on campus is given by?

D) If we construct 95% confidence interval, what is the margin of error? (Under 95% confidence level)

E) If we construct 99% confidence interval, what is the standard error?

F) What kind of significance test should you run? Two tailed, left, or right tailed test?

G) What is the value of the test statistic?

H) What is the P-value?

Thank you!

Answer #1

Exhibit E
Suppose a simple random sample of 150 students to study the
proportion of students who live in dormitories indicates a sample
proportion of 0.35.
Refer to Exhibit E. To construct a 95% confidence interval for
the population proportion, p, the margin of error is:

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