Math  /  Data & Statistics

QuestionPart 1 of 2 Points: 0 of 2
Explain what a P -value is. What is the criterion for rejecting the null hypothesis using the P -value approach?
Explain what a P-value is. Choose the correct answer below. A. A P-value is the probability of observing a sample statistic as extreme or more extreme than the one observed under the assumption that the statement in the null hypothesis is true. B. A P-value is the value used to designate the area α\alpha in either the left- or right-tail of the normal curve. C. A P-value is the number of standard deviations that the observed proportion is from the proportion stated in the null hypothesis.

Studdy Solution

STEP 1

1. The problem involves understanding the concept of a P-value in hypothesis testing.
2. The P-value approach is used to decide whether to reject the null hypothesis.

STEP 2

1. Define what a P-value is.
2. Explain the criterion for rejecting the null hypothesis using the P-value approach.

STEP 3

A P-value is defined as the probability of observing a sample statistic as extreme or more extreme than the one observed under the assumption that the statement in the null hypothesis is true.
Correct answer: A

STEP 4

The criterion for rejecting the null hypothesis using the P-value approach is as follows: - If the P-value is less than or equal to the significance level α\alpha, reject the null hypothesis. - If the P-value is greater than α\alpha, do not reject the null hypothesis.

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