Hey, please help me answer the following problems:

Question 1 Suppose we have a very large batch run of bolts. We seek to demonstrate that these bolts are of excellent quality, meaning that the proportion of high-over-spec bolts is more than 0.760. We have set our significance level to 0.02. Our hypothesis pair is: OHO: p = 0.760 ; HA: p = 0.760 OHO: p > 0.760 ; HA: p 0.760 OHO: p = 0.760 ; HA: p = 0.760 Considering our significance level, and using the standard normal model, our Critical Region for our test statistic, z, is closest to: greater than (or equal to) 2.32635 greater than (or equal to) 2.57583 O greater than (or equal to) 1.64485 greater than (or equal to) 3.09023 O greater than (or equal to) 2.05375 Suppose we randomly select 448 bolts, and our observed sample statistic is p_hat = 0.6808. Using the standard normal model, our observed test statistic, z, is closest to: 01.495705 03.92957 0-0.053029 04.925219 0-3.925109 Our decision is: O We fail to reject the null hypothesis and do not conclude our bolts are of excellent quality in terms of rate of high-over-specification bolts. OWe reject the null hypothesis and conclude our bolts are of excellent quality in terms of rate of high-over-specification bolts.Question 2 Suppose we have a new method of blowing crystal glass. We seek to demonstrate that our new method has a lower rate ofimperfections than our current method, which has an imperfection rate of 0.210. We have set our signicance level to 0.05. Our hypothesis pair is: C] H0: p = 0.210; HA: p i 0.210 C] H0: p = 0.210; HA: p r. 0.210 C] H0: p c: 0210; HA: p s {1210 C] H0: p = 0.210; HA: p = 0.210 [:1 H0: p = 0.210; HA: [3 3 0.210 Considering our signicance level, and using the standard normal model, our Critical Region for our test statistic, z, is closest to: C] less than {or equal to} 2.32535 [:1 less than {or equal to} 2.053?5 C] less than {or equal to} 2.5?'583 [:1 less than {or equal to} 3.08023 [:1 less than {or equal to} 4.54485 Suppose, employing our new method through a mechanism that mimics randomization, we create ?00 crystal glassworlrs, and our observed sample statistic is p_hat = 0.11013. Using the standard normal model, our obsewed test statistic, z, is closest to: [:1 2.10539 [:1 0.008830 [:1 5.484302 [:1 2.08?448 [:1 6.881585 Our decision is: DWe fail to reject the null hypothesis and do not conclude our new method out-performs our current method in terms of rate of imperfections. DWe reject the null hypothesis and conclude our new method outperforms our current method in terms of rate of imperfections