A hypothesis test is to be performed in order to test the proportion of people in a population that have some characteristic ofinterest. Select all of the pieces of information that are needed in order to calculate the test statistic for the hypothesis test: the size of the sample selected the actual population proportion the characteristic of interest the sample proportion calculated the level of signicance used DDDDDD the proposed population proportion You may nd the standard normal table useful in answering this question. Consider the hypothesis test with the following null and alternative hypotheses: H0: 1: = 0.? HR: TE 0.? If the level of signicance used is o = 0.05, the region of rejection is the set of numbers: greater than 1.645 greater than 1.96 whose absolute value is greater than 1.96 less than -1.645 whose absolute value is less than 1.645 whose absolute value is less than 1.96 whose absolute value is greater than 1.645 less than -1.96 00000000 Painadol is a well busted, popular painkiller used by millions throughout the country. Recently an epidemic of headaches has hit the nation and the manufacturers of Painadol have created a new, stronger painkiller called Painadene. The manufacturers are interested in testing whether the speed of pain relief is different Iwith Painadene. It is known that the mean time taken by Painadol tablets to relieve pain is 28 minutes and the standard deviation is 5 minutes The manufacturers would like to construct a hypothesis test for the mean time (u) taken for Painadene tablets to relieve pain assuming the same population standard deviation (0') as the Painadol tablets. A random sample of 39 people with headaches tied the new Painadene tablets and the mean time taken to relieve the pain was calculated as 26.58 minutes. The hypotheses that will be used by the manufacturers are H0: |J = 28 and HA: |_| e 28. You may nd this standard normal table useful throughout the following questions. a) Calculate the test statisc [2) that corresponds to the sample and hypotheses. Give your answer as a decim 3 decimal places. accept not reject b) Using the test statistic for Painadol's hypothesis test and a level of signicance of o = 0.05. Painadol should the null hypothesis