Question

explan what a p - value is. choose the correct answer below. 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 a p - value is the number of standard deviations that the observed proportion is from the proportion stated in the null hypothesis. a p - value is the value used to designate the area α in either the left - or right - tail of the normal curve

Explanation:

The P - value is a fundamental concept in hypothesis testing. It measures the probability of getting a sample statistic as extreme or more extreme than the observed one, assuming the null hypothesis is true. Option B describes the number of standard deviations (which is the z - score or t - score in hypothesis testing, not the P - value). Option C is incorrect as it describes the critical value (related to the significance level \(\alpha\)) rather than the P - value. Option A correctly defines the P - value as the probability of observing a sample statistic as extreme or more extreme than the one observed under the null hypothesis assumption.

Answer:

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.