Step 1 :The null hypothesis in this case is that \(\mu \leq 50\).
Step 2 :The alternative hypothesis is that \(\mu > 50\).
Step 3 :We are performing the test at a 5% significance level, which means that we are willing to accept a 5% chance of incorrectly rejecting the null hypothesis when it is true.
Step 4 :However, in this case, the truth is that \(\mu = 50\), which means the null hypothesis is true.
Step 5 :Therefore, we should expect to incorrectly reject the null hypothesis 5% of the time in the long run.
Step 6 :\(\boxed{5 \%}\)