Failure to Meet Payments on Student Loans Guaranteed by the US

Multiple Choice

Failure to meet payments on student loans guaranteed by the US government has been a major problem for both banks and the government.Approximately 50% of all student loans guaranteed by the government are in default.A random sample of 350 loans to college students in one region of the US indicates that 147 are in default.Calculate an interval that tests the hypotheses at $\alpha$ = .01.

A) [.35 .49]
B) [.37 .47]
C) [.33 .51]
D) [.34 .50]
E) [.36 .48]