To test H0: p = 0.25 versus H1: p 0.25, a simple random sample of n

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To test H0: p = 0.25 versus H1: p ≠ 0.25, a simple random sample of n = 350 individuals is obtained and x = 74 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 α = 0.05 level of significance, compute
the probability of making a Type II error if the true population proportion is
0.23. What is the power of the test?
(c) Redo part (b) if the true population proportion is 0.28.
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