Problem
We are interested in testing whether or not a coin is balanced based on the number of heads Y in 36 tosses of the coin. Our hypotheses are:
Ho: P = 0.5
Hi: P ≠0.5
If we use the rejection region when Y > 18, what are the values of α and β (if p = 0.7)?
Problem 2
Referring to (1) above, answer the following true/false questions:
The size of the test in (1) is the probability that Ho is true.
The power of the test in (1), under the assumption that p = 0.7, is the probability that Hi is true.
The probability that the test mistakenly rejects Ho is.