Step 1 :Given that the P-value is 0.8833226352 and the significance level is 0.05.
Step 2 :The P-value is the probability of obtaining test results at least as extreme as the results actually observed, under the assumption that the null hypothesis is correct. A smaller P-value means that there is stronger evidence in favor of the alternative hypothesis.
Step 3 :The significance level, denoted by \(\alpha\), is a threshold below which the null hypothesis is rejected. Commonly used values are 0.05 and 0.01.
Step 4 :In this case, if the P-value is less than or equal to the significance level, we reject the null hypothesis. If the P-value is greater than the significance level, we fail to reject the null hypothesis.
Step 5 :Since the P-value is greater than the significance level, we fail to reject the null hypothesis.
Step 6 :\(\boxed{\text{Final Answer: Fail to reject the null hypothesis because the P-value is greater than the significance level, } \alpha.}\)