A clinical trial was carried out to test whether a new treatment affects the recovery rate of patients suffering from a debilitating disease. The null hypothesis “H₀ The treatment has no effect” was rejected with a P value of 0.04. The researchers used a significance level of α=0.05.  State whether each of the following conclusions is correct. If not, explain why.

a. The treatment has only a small effect.

b. The treatment has some effect.

c. The probability of committing a Type I error is 0.04.

d. The probability of committing a Type II error is 0.04.

e. The null hypothesis would not have been rejected had the significance level been set to α=0.01 instead of 0.05.