Suppose a 95% Confidence Interval for P, the Proportion of Drivers

Multiple Choice

Suppose a 95% confidence interval for p, the proportion of drivers who admit that they sometimes run red lights when no one is around, is 0.29 to 0.38. Which of the following statements is false?

A) A test of H₀: p = 0.3 versus H_a: p ?0.3 would not be rejected using $\alpha$ = 0.05.
B) A test of H₀: p = 0.5 versus H_a: p ?0.5 would be rejected using $\alpha$ = 0.05.
C) It is plausible that about 37% of all drivers would admit that they sometimes run red lights when no one is around.
D) It is plausible that a majority of all drivers would admit that they sometimes run red lights when no one is around.