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.
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. \(\boxed{\text{B}}\)
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. \(\boxed{\text{B}}\)