A quality control engineer at a potato chip company tests the bag filling machine by weighing bags of potato chips. Not every bag contains exactly the same weight. But if more than 15% of bags are over-filled then they stop production to fix the machine. They define over-filled to be more than 1 ounce above the weight on the package. The engineer weighs 100 bags and finds that 21 of them are over-filled. He plans to test the hypotheses H0: p = 0.15 vs Ha: p > 0.15 (where p is the true proportion of overfilled bags). What is the test statistic?A. Z = 1.68.B. Z = -1.68.C. Z = 4.D. Z = -1.47.According to a Pew Research Center, in May 2011, 35% of all American adults had a smart phone (one which the user can use to read email and surf the Internet). A communications professor at a university believes this percentage is higher among community college students. She selects 300 community college students at random and finds that 120 of them have a smart phone. In testing the hypotheses: H0: p = 0.35 versus Ha: p > 0.35, she calculates the test statistic as Z = 1.82. Click here to access the normal table. A. There is enough evidence to show that more than 35% of community college students own a smart phone (P-value = 0.034).B. There is enough evidence to show that more than 35% of community college students own a smart phone (P-value = 0.068).C. There is not enough evidence to show that more than 35% of community college students own a smart phone (P-value = 0.966).D. There is not enough evidence to show that more than 35% of community college students own a smart phone (P-value = 0.034).