# Expectation and Hypothesis Testing

4. An experiment is set to test the hypothesis that a given coin is unbiased. The decision rule is the following: Accept the hypothesis if the number of heads in a sample of 200 tosses is between 90 and 110 inclusive, otherwise reject the hypothesis.

a) Find the probability of accepting the hypothesis when it is correct.

b) Find the probability of rejecting the hypothesis when it is actually correct.

Answer in back of text: a) 0.8612 b) 0.1388

Please explain how to get these answers. What steps do I need to take?

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#### Solution Preview

The response to this question is attached, which is also presented below. I hope this helps. Take care.

RESPONSE:

Expectation and Hypothesis Testing

4. a) Find the probability of accepting the hypothesis when it is correct.

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#### Solution Summary

This solution explains in a step-by-step process how to find the probability of accepting the hypothesis when it is correct and the probability of rejecting the hypothesis when it is actually correct.