For each of the situations in parts a through d below, state whether a Type I, a Type II, or neither error has been made. Explain briefly. a) A bank wants to know if the enrollment on their website is above 30% based on a small sample of customers. They test H_0 : p = 0.3 vs. H_A: p > 0.3 and reject the null hypothesis. Later they find out that actually 28% of all customers enrolled. Choose the correct answer below.
A. The bank made a Type II error. The actual value is close to 0.3 but they rejected the null hypothesis.
B. The bank made a Type II error. The actual value is not greater than 0.3 but they rejected the null hypothesis.
C. The bank made a Type I error The actual value is not greater than 0.3 but they rejected the null hypothesis.
D. The bank made a Type I error. The actual value is close to 0.3 but they rejected the null hypothesis.
E. The bank did not make an error. The actual value is not equal to 0.3 and they rejected the null hypothesis.