In a two-tailed test, if the p-value is less than the probability of committing a Type I error, what can you conclude?
A) A one-tailed test should be used.
B) The null hypothesis should be rejected.
C) The null hypothesis should not be rejected.
D) Another sample should be selected at random from the population.

Question

Quizplus · Accepted Answer

If the p-value is less than the probability of committing a Type I error (usually set at 0.05 level of significance), it means that the probability of observing the test statistic or a more extreme value in favor of the alternative hypothesis is very low, and thus the null hypothesis should be rejected. This indicates that the observed effect is statistically significant and is unlikely to have occurred by chance alone. Therefore, the correct choice is B.

In a Two-Tailed Test, If the P-Value Is Less Than