An employment agency claims that there is a difference in the weekly earnings of workers who are union members and workers who are not union members. The table shows the weekly earnings (in dollars) for a random sample of nine union members and eight nonunion members. At \(\alpha=0.05\), can you support the agency'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.

Transcribed Image Text:

783 954 649 747 906 Member 951 1090 788 896 980 1087 1136 1000 890 919 1026 Nonmember 850 783 730 790 687 895