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Below is some information about 4 different studies. Use this information to ans

ID: 3173722 • Letter: B

Question

Below is some information about 4 different studies. Use this information to answer the questions that follow.

What is the probability of a researcher having made a Type I error in Study 1?

What is the probability of a researcher having made a Type I error in Study 4?

What is the probability of a researcher having made a Type II error in Study 2?

Should the Null Hypothesis be rejected in Study 1?

should the Null Hypothesis be rejected in Study 3?

Study p-value N alpha beta Study 1 .03 100 .05 .05 Study 2 .13 100 .05 .30 Study 3 .03 50 .01 .20 Study 4 .03 25 .01 .02

Explanation / Answer

Type I error = alpha

Type II error = beta

So,

P(Type I error in study 1) = Alpha in study 1 = 0.05

Option II is correct.

P(Type I error in study 4) = Alpha in study 4 = 0.01

Option II is correct.

P(Type II error in study 2) = Beta in study 2 = 0.3

Option III is correct.

In study 1, p - value (= 0.03) < Alpha (= 0.05), so null hypothesis will be rejected. Option I is correct.

In study 3, p - value (= 0.03) > Alpha (= 0.01), so null hypothesis will not be rejected. Option II is correct.

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