Question

He uses a two-tailed hypothesis test when the null hypothesis is similar to the following: H0: x bar = 100.

Select one: True False

Answer 1

Given statement, " He uses a two-tailed hypothesis test when the null hypothesis is similar to the following: H0: x bar = 100." is False

Because, in hypothesis testing we test population parameter.

Correct null hypothesis should be,

Answer 2

True

A two-tailed hypothesis test is used when the alternative hypothesis suggests that the true population parameter could be either greater than or less than the null hypothesis value. For example, if the null hypothesis is that the mean of a population is 100, the two-tailed alternative hypothesis would be that the mean is not equal to 100, meaning it could be either higher or lower. In contrast, a one-tailed test would only test for one direction, either greater than or less than, depending on the alternative hypothesis.

Therefore, the statement "He uses a two-tailed hypothesis test when the null hypothesis is similar to the following: H0: x bar = 100" is true. When testing a hypothesis with the null hypothesis stating a specific value, a two-tailed test is appropriate because the alternative hypothesis would be that the population parameter is not equal to that specific value. This approach allows for the possibility of both higher and lower values, and results in a test that is more robust and less prone to errors.