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If 1,mu do not reject the null hypothesis, then it must be true. Is this statement correct? State why.r or why.r not in complete sentences. . The fact that you do not reject Ha Ha is true. It means the sample data have to provide sufcient evidence to cast serious doubt about the truthfulness of the null hypothesis. Suppose that a recent article stated that the mean time spent in jail by a first-time convicted burglar is 2.5 years. A study was then done to see if the mean time has increased in the new century. A random sample of 27 first-time convicted burglars in a recent year was picked. The mean length of time in jail from the survey was four years with a standard deviation of 1.9 years. Suppose that it is somehow known that the population standard deviation is 1.4. Conduct a hypothesis test to determine if the mean length of jail time has increased. Assume the distribution of the jail times is approximately normal. What symbol represents the random variable for this test? On OX OuIn a statistical test, we have a choice of a left-tailed test, a right-tailed test, or a two-tailed test. Is it the null hypothesis or the alternate hypothesis that determines which type of test is used? Explain your answer. O The null hypothesis because it specifies the region of interest for the parameter in question. O The alternative hypothesis because it specifies the region of interest for the parameter in question. O The null hypothesis because it specifies what the level of significance of the test will be. O The alternative hypothesis because it specifies what the level of significance of the test will be.If we fail to reject (i.e., "accept") the null hypothesis, does this mean that we have proved it to be true beyond all doubt? Explain your answer. O No, it suggests that the null hypothesis is true only some of the time. O Yes, if we fail to reject the null we have found evidence that the null is true beyond all doubt. O Yes, it suggests that the evidence is sufficient to merit rejecting the alternative hypothesis beyond all doubt. O No, it suggests that the evidence is not sufficient to merit rejecting the null hypothesis.If we reject the null hypothesis, does this mean that we have proved it to be false beyond all doubt? Explain your answer. Q 'r'es, if we reject the null that suggests that it is false beyond all doubt. G No, the test was conducted with a risk of a type 11 error. D Yes, the test was conducted with a risk of a type I error. G No, the test was conducted with a risk of a type I error