If a hypothesis test were conducted using α= 0.05, for which of the following p-values would the null hypothesis be rejected?

a. .06

b. .10

c. .01

d. .001

e. .251

f. .042

P-value is the probability of obtaining a result equal to or more extreme than what was actually observed.

Let us assume that α is the rejection region. The null hypothesis is rejected if the test statistic lies in the rejection region.

If the p-value is less than the α value, reject the null hypothesis. Otherwise, do not reject the null hypothesis.

Given that,α= 0.05

The p-value is 0.06

Here, the p-value is less than the αvalue.

Therefore, we reject the null hypothesis.

Given that, α= 0.05

The p-value is 0.10

Here, the p-value is less than theα value.

Therefore, we reject the null hypothesis.

Given that, α= 0.05

The p-value is 0.01

Here, the p-value is less than the α value.

Therefore, we reject the null hypothesis.

Given that, α= 0.05

The p-value is 0.001

Here, the p-value is less than theαvalue.

Therefore, we reject the null hypothesis.

Given that, α= 0.05

The p-value is 0.251

Here, the p-value is less than theαvalue.

Therefore, we reject the null hypothesis.

Given that, α= 0.05

The p-value is 0.042

Here, the p-value is less than the αvalue.

Therefore, we reject the null hypothesis.