Question

g If the p-value for your test statistic in a test of hypothesis (for example, a t-test, one-tail) is 0.07 and the significance level alpha is set at 0.05, you conclude that: Both hypotheses H0 and H1 can be accepted The null hypothesis H0 cannot be rejected The null hypothesis H0 can be rejected The research hypothesis H1 can be accepted

Answer 1

Complete Question

If the p-value for your test statistic in a test of hypothesis (for example, a t-test, one-tail) is 0.07 and the significance level alpha is set at 0.05, you conclude that:

A

Both hypotheses H0 and H1 can be accepted

B

The null hypothesis H0 cannot be rejected

C

The null hypothesis H0 can be rejected

D

The research hypothesis H1 can be accepted

Answer:

The correct option is B

Explanation:

From the question we are told that

The p-value is
`p-value = 0.07`

The level of significance is
`\alpha = 0.05`

Generally given that it is a one tail test then the possible value of

The null hypothesis is
`H_o : \mu = x`

Here
`\mu` is the mean and x is the value

the possible values of the alternative hypothesis is
`\mu > x \ \ or \ \ \mu < x`

Now from the value given we see that the
`p-value > \alpha` hence

The decision rule is

Fail to reject the null hypothesis