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The probability of getting a false alarm, given that the null hypothesis is false, is represented by:

a. α
b. β
c. 1 - α
d. 1 - β

1 Answer

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Final answer:

The probability of a false alarm when the null hypothesis is false is the probability of a Type II error, represented by β (beta). The correct answer is b. β

Step-by-step explanation:

The probability of getting a false alarm, given that the null hypothesis is false, is actually asking for the probability of making a Type II error, which is represented by β (beta). Therefore, the correct answer is b. β.

In statistical hypothesis testing, a Type I error (α) occurs when the null hypothesis is rejected even though it is true, whereas a Type II error (β) occurs when the null hypothesis is not rejected even though it is false. The power of a test is defined as 1 - β, which is the probability of correctly rejecting a false null hypothesis.

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