A financial services institution claims that the median amount of credit card debt for families holding such debts is at least \(\$ 2300\). In a random sample of 104 families with credit card debt, the debts of 60 families were less than \(\$ 2300\) and the debts of 44 families were greater than \(\$ 2300\). At \(\alpha=0.02\), can you reject the institution's claim? 

(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,

(e) interpret the decision in the context of the original claim.