Problem

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 value used to designate the area $\alpha$ in either the left- or right-tail of the normal curve.
B. 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.
C. A P-value is the number of standard deviations that the observed proportion is from the proportion stated in the null hypothesis.

Answer

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Final Answer: The correct answer is B. 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. \(\boxed{\text{B}}\)

Steps

Step 1 :Explain what a P-value is. Choose the correct answer below.

Step 2 :A. A P-value is the value used to designate the area $\alpha$ in either the left- or right-tail of the normal curve.

Step 3 :B. 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.

Step 4 :C. A P-value is the number of standard deviations that the observed proportion is from the proportion stated in the null hypothesis.

Step 5 :Final Answer: The correct answer is B. 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. \(\boxed{\text{B}}\)

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