A golf tournament official records whether each past winner is American-born \((A)\) or foreign-born \((F)\). The results are shown for every year the tournament has existed. Can you conclude that the sequence is not random?

(a) identify the claim and state \(H_{0}\) and \(H_{a}\),

(b) find the critical values,

(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. Use \(\alpha=0.05\).

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