Question

Describe the decision concerning the following P-values and significance levels (α) for hypothesis testing. There are six parts to this question:

a. P = 0.024, α = 0.05
b. P = 0.01, α = 0.02
c. P = 0.005, α = 0.005
d. P = 0.013, α = 0.01
e. P = 0.05, α = 0.01
f. P = 0.215, α = 0.025

For each part, determine whether the decision is to reject the null hypothesis. Indicate "True" if you reject the null hypothesis and "False" if you do not reject the null hypothesis.

Answer 1

The decisions for each P-value and significance level are explained and determined whether to reject the null hypothesis or not.

Step-by-step explanation:

For each part, we compare the p-value to the significance level (alpha) to determine whether to reject the null hypothesis:

a. Since P = 0.024 is less than α = 0.05, we reject the null hypothesis. True.

b. Since P = 0.01 is not less than α = 0.02, we do not reject the null hypothesis. False.

c. Since P = 0.005 is less than or equal to α = 0.005, we reject the null hypothesis. True.

d. Since P = 0.013 is not less than α = 0.01, we do not reject the null hypothesis. False.

e. Since P = 0.05 is not less than α = 0.01, we do not reject the null hypothesis. False.

f. Since P = 0.215 is not less than α = 0.025, we do not reject the null hypothesis. False.