In: Statistics and Probability
To test H0: p = 0.65 versus H1: p> 0.65, a simple random sample of n = 100 individuals is obtained and x = 69 successes are observed.
(a) What does it mean to make a Type II error for this
test?
(b) If the researcher decides to test this hypothesis at the alpha
= 0.01 level of significance, compute the probability of making a
Type II error if the true population proportion is 0.70. What is
the power of the test?
(c) Redo part (b) if the true population proportion is 0.72.