a)     Answer true or false and explain your answer: If it is important not to reject a true null hypothesis, the hypothesis test should be performed at a small significance level.

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a)     Answer true or false and explain your answer: If it is important not to reject a true null hypothesis, the hypothesis test should be performed at a small significance level. b)    Explain the meaning of each term in your own words. a. rejection region b. non rejection region c. critical value(s) c)     Explain exactly how a paired t-test can be formulated as a one-mean t-test. d)    The following data, based on the results of the study, provide the decrease (negative values indicate increase) in (parathyroid hormone) PTH levels, in pg/mL, for those drinking the fortified juice and for those drinking the unfortified juice.   Fortified Unfortified   −7.7 , 11.2, 65.8, −45.6, −4.8, 26.4, 55.9, −15.5, 34.4,  −5.0, −2.2, −20.1, −40.2,  73.5 65.1, 0.0, 40.0, −48.8, 15.0, 8.8, 13.5 −6.1 29.4, −20.5, −48.4, −28.7 At the 5% significance level, do the data provide sufficient evidence to conclude that drinking fortified orange juice reduces PTH level more than drinking unfortified orange juice?
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