Why can decreasing the probability of a type I error cause an increase in the probability of a type II​ error? Choose the correct answer below.     A. Decreasing α decreases the probability of rejecting the null hypothesis. This increases the probability of the​ complement, not rejecting the null​ hypothesis, which could increase the probability of failing to reject the null hypothesis when it is​ false, a type II error.   B. Decreasing α increases the probability of rejecting the null hypothesis. This decreases the probability of the​ complement, failing to reject the null​ hypothesis, which could increase the probability of failing to reject the alternative hypothesis when it is​ false, a type II error.   C. Decreasing α decreases the probability of failing to reject the null hypothesis. This increases the probability of the​ complement, rejecting the null​ hypothesis, which could increase the probability of rejecting the null hypothesis when it is​ true, a type II error.   D. Decreasing α increases the probability of rejecting the null​ hypothesis, which increases the probability of rejecting the null hypothesis when it is​ true, a type II error.

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2-Proportion Test

In a 2-proportion test, two separate proportions are measured at the same time, and their similarity is evaluated. It is also known as a 2-proportion z-test, and a comparison of two different proportions is done in this method.