November 29, 2015

Homework Help: science

Posted by stat on Saturday, August 24, 2013 at 6:16am.

A coin will be tossed 15 times, and I have to decide whether it lands heads with chance 0.6 or 0.3. I’ll test the hypotheses

Null: p = 0.6
Alternative: p = 0.3


First, I will use a simple decision rule: if fewer than half the tosses are heads, I will choose p=0.3; if more than half the tosses are heads, I will choose p=0.6.

The significance level of this test is ____________%.


The power of the test in Problem 3 is ____________%.


Suppose I want to create a new decision rule that says, “If the number of heads is less than H, then I will choose p=0.3; otherwise I will choose p=0.6.” Here H is an integer in the range 0 through 15. Is it possible for me to choose H so that the new test has a smaller significance level as well as a higher power than the test in Problem 1?

-Maybe; there is not enough information to decide.

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