Problem

In testing a hypothesis at a level of significance of 0.05 , we find the p-value to be 0.065 . We can then make the following conclusion. Reject the null hypothesis Accept the alternative hypothesis Fail to reject the null hypothesis. Not enough information,

Solution

Step 1 :In testing a hypothesis at a level of significance of 0.05 , we find the p-value to be 0.065 .

Step 2 :The p-value is a measure of the probability that an observed difference could have occurred just by random chance. The lower the p-value, the greater the statistical significance of the observed difference.

Step 3 :In hypothesis testing, if the p-value is less than or equal to the level of significance (α), we reject the null hypothesis. If the p-value is greater than α, we fail to reject the null hypothesis.

Step 4 :In this case, the p-value (0.065) is greater than the level of significance (0.05), so we fail to reject the null hypothesis.

Step 5 :Final Answer: \(\boxed{\text{Fail to reject the null hypothesis}}\).

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