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

Step-by-step 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