A graphing calculator may be used wherever possible. However, you need to substantiate your answers for full credit if necessary. If you are to use a decimal for a probability, round your answer to four decimal places. [1](8) In 2013, the U.S. Department of Defense changed a policy that affected women in the armed forces. Under the new rules, women who met physical requirements could be assigned to combat positions. Many people in the U.S. were opposed to that decision. About 18% of women were against it. Researchers claimed that the proportion of U.S. men who were against the decision was different. a) What does the population proportion (p) represent in this situation? b) What is the null hypothesis (Ho) in this situation? c) What is the alternative hypothesis (H1 ) in this situation? [2](8) The quality control manager at a light bulb factory needs to determine whether the mean life of a larger shipment of light bulbs is equal to 375 hours. Then population standard deviation is 100 hours. A random sample of 64 light bulbs indicates a sample mean life of 350 hours. Since the sample mean is less than the claimed population mean, he wishes to test that the population mean life is still 375 hours. a) What does the population mean () represent in this situation? b) What is the null hypothesis (Ho) in this situation? c) What is the alternative hypothesis (H1 ) in this situation