In: Statistics and Probability
1. Here are three (simulated) coin toss experiments on the same coin. Test for
p = 0.5, as in section 2, and compare the results.
Number of tosses Number of Heads
50 24
100 54
1000 550
2. Bonus: Using the critical/acceptance region approach (rather then only stating
the p-value), calculate the power, or, equivalently, the Error of Type II,
as a function of possible values for p (for example, p = 0.4, p = 0.6). Note
that this can (and should) be done before preforming the test.