The table shows the prices (in dollars per bushel) received for barley and corn for a random sample of nine U.S. farmers. At \(\alpha=0.05\), can you conclude that there is a significant correlation between the barley and corn prices?

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

(b) find the critical value,

(c) find the test statistic \(r_{s}\),

(d) decide whether to reject or fail to reject the null hypothesis, and

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

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Barley 4.89 4.52 4.85 4.97 5.12 4.91 5.08 4.98 4.87 Corn 3.21 3.22 3.29 3.23 3.33 3.40 3.44 3.49 3.43