Question

Which of the following statements is true? 1.Type I error refers to β, or the probability...

Which of the following statements is true?

1.Type I error refers to β, or the probability that we conclude treatments are not different from each other when in reality the treatments are different from each other

2.Type II error refers to α, or the probability that we conclude the treatments are different from each other when in reality the treatments are not different.

3.Type II error refers to β, or the probability that we conclude treatments are not different from each other when in reality the treatments are different from each other

4.Type I error is correct as where Type II error is incorrect

Math   Statistics-And-Probability   
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Answer #1

Correct Answer: 3

i.e. Type II error refers to β, or the probability that we conclude treatments are not different from each other when in reality the treatments are different from each other

Explanation:

Suppose

Ho: There is no difference between treatments

H1: There is difference between treatments

P(Type II Error) = P(Accept Null Hypothesis/ Alternate Hypothesis is true)

= P(There is no difference between treatments/ there is difference between treatments in reality)

Beta = Power of test =1- P(Type II Error)

= P(Reject Null Hypothesis/ Alternate Hypothesis is true)

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