In an agricultural report, a commodities analyst claims that there is a significant correlation between purchased seed expenses and fertilizer and lime expenses in the farming business. The table shows the total purchased seed expenses and fertilizer and lime expenses for farms in eight randomly selected states for a recent year. At \(\alpha=0.05\), is there enough evidence to support the analyst's claim?

(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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State Purchased seed expenses (in millions of dollars) Fertilizer and lime expenses (in millions of dollars) 480 Arkansas California Florida 490 1530 2060 490 480 Kentucky 266 402 Michigan 741 642 North Carolina 380 470 Ohio 879 858 Washington 360 560