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In the interest of detecting the few children remaining who believe in Santa Claus, you give...

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Statistics

In the interest of detecting the few children remaining whobelieve in Santa Claus, you give the latest test for “Belief inSanta Claus” from Canadian Living magazine to your little brother.According to the test, if the child answers more than 10 or more ofthe questions with the correct “Santa answer”, then the child isdeclared to believe in Santa Claus. From that perspective, describewith reference to the test

(a) what would be a Type I error for the test? (1 point)
(b) what would constitute a Type II error for the test? (1point)

(c) what would correspond to the power of the test? (1point)

(d) what corresponds to the criterion of the test? (2points)

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