A marriage counselor claims that the median age of brides at the time of their first marriage is less than or equal to 27 years old. In a random sample of 65 brides, 24 are less than 27 years old, 35 are more than 27 years old, and 6 are 27 years old. At \(\alpha=0.05\), can you reject 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.