An association claims that the median annual salary of lawyers is \(\$ 118,160\). In a random sample of 125 lawyers, 76 were paid less than \(\$ 118,160\), and 49 were paid more than \(\$ 118,160\). At \(\alpha=0.05\), can you reject the association's claim?

Use a sign test to test the claim by doing the following.

(a) Identify the claim and state \(H_{0}\) and \(H_{a}\).

(b) Find the critical value.

(c) Find the test statistic.

(d) Decide whether to reject or fail to reject the null hypothesis.