To help us answer the question, having a z-table will help.
We know the test statistic to be z = 1.08. Using the z-table, we will look for the corresponding area under the curve, and then subsequently the area of the rejection region.
In this table, we see that the area to the left of z = 1.08 is 0.8599. It means that the P-value is 1 - 0.8599 = 0.1401.
When the P-value is greater than the alpha, then we are NOT within the rejection region.
So, we fail to reject H0.