A major agricultural company is testing a new variety of wheat to determine whether it is more resistant to certain insects than is the current wheat variety. The proportion of a current wheat crop lost to insects is 4%. Thus, the company wishes to test the following hypotheses:

H0 : p = 0.04 Ha : p < 0.04 Which of the following significance levels and sample sizes would lead to the highest power for this test?

(a) n = 200 and a = 0.01

(b) n = 400 and a = 0.05

(c) n = 400 and a = 0.01

(d) n = 500 and a = 0.01

(e) n = 500 and a = 0.05