drippydrop22
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- Oct 8, 2011
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A box contains 20 balls, some red and some black. We want to test the hypotheses:
Null: there are exactly 4 red balls in the box.
Alternative: there are more than 4 red balls in the box.
Suppose we draw two balls without replacement, and our decision rule is to reject the null hypothesis if both balls are red.
i) calculate alpha, the significance level of the test.
ii) calculate the power of the test for the specific alternative situation where there are in fact 12 red balls and 8 black balls in the box.
Null: there are exactly 4 red balls in the box.
Alternative: there are more than 4 red balls in the box.
Suppose we draw two balls without replacement, and our decision rule is to reject the null hypothesis if both balls are red.
i) calculate alpha, the significance level of the test.
ii) calculate the power of the test for the specific alternative situation where there are in fact 12 red balls and 8 black balls in the box.