2 of 3 ID: MST.FET.HT.HTPP.02.0010A [2 marks] The CEO of the Myths chip company is concerned about the net weight of chips in their 2 ounce chip bags. He decides that he wants to be fairly sure that the mean weight of these chip bags () is greater than 2 ounces. A hypothesis test is conducted with the following hypotheses: Ho: H = 2 HA: H > 2 The level of significance used in this test is a = 0.05. A random sample of 26 chip bags are collected and weighed. The sample mean weight is calculated to be x - 2.10 and the sample standard deviation is s = 0.31. You may find this Student's t distribution table useful throughout this question. a) Calculate the test statistic (t) for this test. Give your answer to 4 decimal places. t = b) The result of this test is that the null hypothesis rejected. 3 of 3 ID: MST.FET.HT.HTPP.03.0040A [2 marks] The government of Preon (a small island nation) was voted in at the last election with 61% of the votes. That was 2 years ago, and ever since then the government has assumed that their approval rating has been the same. Some recent events have affected public opinion and the government suspects that their approval rating might have changed. They decide to run a hypothesis test for the proportion of people who would still vote for them. The null and alternative hypotheses are: Ho: It = 0.61 HA: TI # 0.61 The level of significance used in the test is a = 0.05. A random sample of 119 people are asked whether or not they would still vote for the government. The proportion of people that would is equal to 0.706. You may find this standard normal table useful throughout this question. a) Calculate the test statistic (z) for this hypothesis test. Give your answer to 3 decimal places. b) According to this test statistic, you should the null hypothesis