Derek ran an experiment to test optimum power and time settings for microwave popcorn. His goal was to deliver popcorn with fewer than 12% of the kernels left unpopped, on average. He determined that power 9 at 4 minutes was the best combination. Complete parts a) and b) below. a) He concluded that this popping method achieved the goal of fewer than 12% of the kernels left unpopped. If it really does not work that well, what kind of error did Derek make? O Type II error Type I error b) To be sure that the method was successful, he popped 8 more bags of popcorn (selected at random) at this setting. All were of high quality, with the percentages of unpopped kernels shown below. 12.5, 13.2, 9.7, 2.6, 9.8, 11.9, 5.3, 12.4 Does this provide evidence that he met his goal of an average of fewer than 12% unpopped kernels? Assume a = 0.05. Choose the correct null and alternative hypotheses. O A. Ho: H > 12 O B. Ho: H # 12 HA: H = 12 HA: H = 12 XC. Ho: H = 12 D. Ho: H = 12 HA: H > 12 HA: H