The table shows the overall scores and the prices for a random sample of eight different suitcases. The overall score represents the ease of use, features, construction, and durability of a suitcase. At \(\alpha=0.05\), can you conclude that there is a significant correlation between the overall score and the price?

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

(b) decide which nonparametric test to use,

(c) find the critical value(s),

(d) find the test statistic,

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

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

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Overall score 90 90 85 81 78 72 68 64 61 Price (in dollars) 495 230 230 190 160 350 230 260 200