Friday, February 5, 2010

An istructor gives a quiz of 10 true-false questions.He wishes to test the hypothesis , student is guessing?

1. If 8 or more answers are correct, the student is not guessing, otherwise the student is guessing


2. If 7 or more answers are correct, the student is not guessing, otherwise the student is guessing


Tabulate your results to summarize each test; find the value of (alpha) of rejecting the hypothesis when it is trueAn istructor gives a quiz of 10 true-false questions.He wishes to test the hypothesis , student is guessing?
Assuming that the student guessed at all questions:





P(7) = C(10,7)*.5^10 = 120/1024 = .1172


P(8) = 45/1024 = .0439


P(9) = 10/1024 = .0098


P(10) = 1/1024 = .0010





1. P(8) + P(9) + P(10) = .0439 + .0098 + .0010 = 0.0547





2. P(7) + P(8) + P(9) + P(10) = .1172 + .0439 + .0098 + .0010 = 0.1719

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