A labor organization claims that the median weekly earnings of female workers is less than or equal to \(\$ 765\). To test this claim, you randomly select 50 female workers and ask each to provide her weekly earnings. The table shows the results. At \(\alpha=0.01\), can you reject the organization's claim?

Use a right-tailed test and

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

(b) find the critical value,

(c) find the test statistic,

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

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

Transcribed Image Text:

Weekly earnings Less than $765 Number of workers 18 $765 3 More then $765 29