In a one-tailed hypothesis test (lower tail) the test statistic is determined to be -2. The p-value for this test is
A)0.4772
B)0.0228
C)0.0056
D)0.5228

Question

Quizplus · Accepted Answer

A negative test statistic in a lower-tailed hypothesis test means that the observed sample mean is farther away from the null hypothesis (in the negative direction) than expected by chance. Using a standard normal distribution table, we find that the area to the left of -2 is 0.0228. This is the p-value, which represents the probability of obtaining a sample mean as extreme or more extreme than the observed mean, assuming the null hypothesis is true. A p-value less than the significance level (usually set at 0.05) would lead to rejection of the null hypothesis. Since the p-value in this case is less than 0.05, we can reject the null hypothesis in favor of the alternative hypothesis.

In a One-Tailed Hypothesis Test (Lower Tail) the Test Statistic