Step 1 :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 2 :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 3 :In this case, the p-value is 0.07834 and the level of significance is 2% or 0.02. We need to compare these two values to make a decision.
Step 4 :Since the p-value is greater than the level of significance, we fail to reject the null hypothesis.
Step 5 :Final Answer: The proper decision at a 2% level of significance is to \(\boxed{\text{Fail to reject } H_{0}}\).