(Steps Shown) A coin is thrown independently 10 times to test the hypothesis that the probability of heads is ½ versus the alternative that the probability


Question:

A coin is thrown independently 10 times to test the hypothesis that the probability of heads is ½ versus the alternative that the probability is not ½. The test rejects if 0, 1 or 10 heads are observed.

  1. What is the significance level of the test?
  2. Calculate the probability of committing a Type II error when the probability of heads is 0.3.
  3. What is the power of the test when the probability of heads is 0.3?

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