If a Test of Hypothesis Has a Type I Error

question 24

Multiple Choice

If a test of hypothesis has a Type I error probability of .05,this means that:

• A)if the null hypothesis is true,we don't reject if 5% of the time.
• B)if the null hypothesis is true,we reject it 5% of the time.
• C)if the null hypothesis is false,we don't reject it 5% of the time.
• D)if the null hypothesis is false,we reject it 5% of the time.

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Definitions:

Joint Probability

The likelihood of two events occurring simultaneously.

Independent

Not influenced or controlled by others; in statistics, refers to variables that are not related or do not affect each other.

Marginal Probability

The probability of an event occurring, disregarding all other variables or outcomes in a probability distribution.

E(XY)

The expected value of the product of two random variables X and Y, indicating their joint mean over all pairs of outcomes.