A marriage counselor claims that the median age of grooms at the time of their first marriage is greater than 28 years old. In a random sample of 56 grooms, 33 are less than 28 years old and 23 are more than 28 years old. At \(\alpha=0.05\), can you support the counselor's claim?

Use a right-tailed test and

(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.