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

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

The correct option is B

Step-by-step explanation:

From the question we are told that

     The p-value  is  

     The level of significance is  

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

   The null hypothesis is  

Here is the mean and  x  is the value  

 the possible values of the  alternative hypothesis is  

Now from the value given we see that the    hence

The decision rule is  

    Fail to reject  the null hypothesis