Nationwide, 76% of first-year college students live on campus. The director of housing at a large private institution would like to know if it is significantly different at his school. He selects a random sample of 46 first-year students and finds that 78% of them live on campus. Do these data provide convincing evidence that the true proportion of all first-year students who attend this private institution and live on campus differs from the national average? Use α = 0.05.

Which of the following statements are true? Check all that apply.

A. H0: p = 0.76
B. H0: p = 0.89
C. The random condition is met.
D. The 10% condition is met.
E. The large counts condition is met.
F. The test is a z-test for one proportion.

ANSWERS are A, C, D, E, F