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The symbol for the probability of committing a Type I error of a statistical test isA.α B. 1 - α C.β D.1 - β

Question

The symbol for the probability of committing a Type I error of a statistical test is

A. α
B. 1 - α
C. β
D. 1 - β

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Solution

The symbol for the probability of committing a Type I error of a statistical test is A. α.

Here's why:

In statistical hypothesis testing, a type I error is the rejection of a true null hypothesis (also known as a "false positive" finding or conclusion), while a type II error is the non-rejection of a false null hypothesis (also known as a "false negative" finding or conclusion).

The probability of committing a Type I error is denoted by the Greek letter α (alpha), and it is the level of significance that you set for your hypothesis test. It represents the probability of rejecting the null hypothesis when it is in fact true.

Option B, 1 - α, represents the probability of not committing a Type I error, also known as the confidence level.

Option C, β, represents the probability of committing a Type II error, which is failing to reject a false null hypothesis.

Option D, 1 - β, represents the power of the test, which is the probability that the test correctly rejects the false null hypothesis.

This problem has been solved

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