Statistics Homework Solutions 158

Statistics Homework Solutions 158 - 90.6 for which the...

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158 CHAPTER 6 (c) This is not an appropriate rejection region. The rejection region should consist of values for X that will make the P -value of the test less than or equal to a chosen threshold level. Therefore the rejection region must be of the form X x 0 . This rejection region is of the form X x 0 , and so it consists of values for which the P -value will be greater than some level. (d) This is an appropriate rejection region. Under H 0 , the z -score of 89.4 is 89 4 90 0 408248 1 47. Since the alternate hypothesis is of the form μ μ 0 , the level is the area to the left of z 1 47. Therefore the level is α 0 0708. (e) This is not an appropriate rejection region. The rejection region should consist of values for X that will make the P -value of the test less than a chosen threshold level. This rejection region contains values of X greater than
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Unformatted text preview: 90.6, for which the P-value will be large. 5. (a) H says that the claim is true. Therefore H is true, so rejecting it is a type I error. (b) Correct decision. H is false and was rejected. (c) Correct decision. H is true and was not rejected. (d) Type II error. H is false and was not rejected. 7. The 1% level. The error in question is rejecting H when true, which is a type I error. When the level is smaller, it is less likely to reject H , and thus less likely to make a type I error. Section 6.13 1. (a) True. This is the definition of power. (b) True. When H is false, making a correct decision means rejecting H . (c) False. The power is 0.90, not 0.10. (d) False. The power is not the probability that H is true....
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