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ec11 - Department of Statistics and Actuarial Science HKU...

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1 Department of Statistics and Actuarial Science, HKU STAT0302 Business Statistics Example Class 11 2009-2010 Goodness-of-fit test 1. Three coins are tossed 160 times and 0, 1, 2, 3 heads showed 15, 54, 72 and 19 times respectively. Using the probabilities 1 8,3 8,3 8 and 1 8 , test at the level of significance 0.01 α = whether it is reasonable to suppose that the coins are balanced and randomly tossed. X 0 1 2 3 Total Frequency 15 54 72 19 160 ( ) P X x p = = 1 8 3 8 3 8 1 8 1 ( ) E X np = 2. Let X denote the number of alpha particles emitted by barium-133 in 1 10 of a second. Test at the 5% level of significance whether X has a Poisson distribution
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