If we reject the null hypothesis, can we claim to have proved that the null hypothesis is false? Why or why not? Choose the correct answer below. a No, if the p-value is sufficiently small, the null hypothesis is unlikely to be true, but unlikely is not the same as impossible. b Not necessarily, if the test conditions are satisfied and the p-value is appropriately small, the null hypothesis can only be proven false if the power is appropriately large. c Yes, if the test conditions are satisfied and the p-value is smaller than the significance level, then the null hypothesis is proven to be false. d Not necessarily, if the test conditions are satisfied and the p-value is appropriately small, the null hypothesis can only be proven false if the significance level is appropriately small.