Question 2 Suppose we have a new method of blowing crystal glass. We seek to demonstrate that our new method has a lower rate of imperfections than our current method, which has an imperfection rate of 0.240. We have set our significance level to 0.005. Our hypothesis pair is: OHO: p 0.240 OHO: p = 0.240 ; HA: p > 0.240 OHO: p = 0.240; HA: p = 0.240 OHO: p = 0.240 ; HA: p < 0.240 OHO: p = 0.240; HA: p = 0.240 Considering our significance level, and using the standard normal model, our Critical Region for our test statistic, z, is closest to: Oless than (or equal to) -3.09023 less than (or equal to) -2.05375 Oless than (or equal to) -2.32635 less than (or equal to) -2.57583 Oless than (or equal to) -1.64485 Suppose, employing our new method through a mechanism that mimics randomization, we create 903 crystal glassworks, and our observed sample statistic is p_hat = 0.24031. Using the standard normal model, our observed test statistic, z, is closest to: 0.021812 -5.666164 -2.081979 2.125603 O-7.069161 Our decision is: We fail to reject the null hypothesis and do not conclude our new method out-performs our current method in terms of rate of imperfections. We reject the null hypothesis and conclude our new method out-performs our current method in terms of rate of imperfections.