A labor organization claims that there is a difference in the hourly earnings of union workers and nonunion workers in state and local governments. The table shows the hourly earnings (in dollars) for a random sample of 10 union workers and 10 nonunion workers in state and local governments. At \(\alpha=0.10\), can you support the organization's claim?

(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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Union 29.75 28.15 32.30 35.52 32.88 27.85 27.35 29.05 27.60 26.75 Nonunion 26.15 23.10 21.20 26.95 22.05 24.75 22.50 22.25 21.40 20.45