Question: A new sleeping pill manufacturer suspects it may increase the rate of sleepwalking for people taking it. At a= 0.01, a two tailed test of hypothesis resulted in rejection of the null hypothesis in favor of the alternate hypothesis.

a) If the level of significance ( \(\alpha \) ) was increased would the test still have to reject the null hypothesis? If yes, argue why, but if no, show a diagram based example that verifies your result.

b) If the level of significance (α) does not change, but the test becomes one-tailed,

would the test still have to reject the null hypothesis? If yes, argue why, but if no, show a diagram based example that verifies your result.