Question

A test of the null hypothesis H0: μ = 0 gives test statistic z = 1.8. a) What is the P-value if the alternative is Ha: μ > μ0? b) What is the P-value if the alternative is Ha: μ < μ0? c) What is the P-value if the alternative is Ha: μ ≠ μ0?

Answer 1

According to the result of the test statistic, the p-values are given by:

a) 0.0352.

b) 0.9648.

c) 0.0704.

How to find the p-value of a test?

It depends on the test statistic z, as follows.

• For a left-tailed test, it is the area under the normal curve to the left of z, which is the p-value of z.

• For a right-tailed test, it is the area under the normal curve to the right of z, which is 1 subtracted by the p-value of z.

• For a two-tailed test, it is the area under the normal curve to the left of -z combined with the area to the right of z, hence it is 2 multiplied by 1 subtracted by the p-value of z.

In this problem, the test statistic is z = 1.8, which has a p-value of 0.9648.

Item a:

Right-tailed test, hence the p-value is of 1 - 0.9648 = 0.0352.

Item b:

Left-tailed test, hence the p-value is of 0.9648.

Item c:

Two-tailed test, hence the p-value is of 2 x (1 - 0.9648) = 2 x 0.0352 = 0.0704.

You can learn more about p-values at brainly.com/question/13873630