Use the given information to find the P-value. Also, use a 0.05 significance level and state the conclusion about the null
hypothesis (reject the null hypothesis or fail to reject the null hypothesis).
-The test statistic in a left-tailed test is z = -2.05.
A) 0.0202; reject the null hypothesis
B) 0.0453 fail to reject the null hypothesis
C) 0.4798; fail to reject the null hypothesis
D) 0.0404; reject the null hypothesis

Question

Quizplus · Accepted Answer

The P-value is the probability of getting a test statistic as extreme as or more extreme than the observed test statistic, assuming the null hypothesis is true. In this case, the test statistic is z = -2.05, which is a left-tailed test. The P-value for a left-tailed test is the area to the left of the test statistic under the standard normal distribution. Using a standard normal distribution table, we find that the P-value for z = -2.05 is 0.0202. Since the P-value is less than the significance level of 0.05, we reject the null hypothesis.

Use the Given Information to Find the P-Value