A moving company claims that 95% of its customers are happy with its service. Suspecting that it is less, a consumer group surveys 400 customers of the company and finds that 30 of them are actually not happy about the service.

1. Set up the null and alternative hypotheses to test for the company's claim.

(a) H_0: p = 0.95 versus H_1 : p > 0.95
(b) H_0 : p = 0.95 versus H_1 : p ≠ 0.95
(c) H_0 : p = 0.95 versus H_1 : p < 0.95
(d) H_0 : p = 0.95 versus H_1 : p > 0.05
(e) H_0 : p ^= 0.95 versus H_1: p ^> 0