I have four socks in a drawer; each is either black or white. Suppose that my...

I have four socks in a drawer; each is either black or white.

Suppose that my null hypothesis is H0 : There are exactly two black socks. We decide on the following test: we take out two socks at random (all at once and without replacement). We reject H0 if the two socks are the same color. [Note: this test doesn’t make a whole lot of sense; this is just to practice the ideas.]

a) What is the significance level of this test? Explain.

b) If there are actually three black socks, what is the power of this test? Explain.

Expert Solution

orchestra answered 1 year ago

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