Question

The ETA reported that the U.S mean unemployment insurance benefit was $238 per week. A researcher...

The ETA reported that the U.S mean unemployment insurance benefit was $238 per week. A researcher in Virginia anticipated that sample data would show evidence that the mean weekly unemployment insurance benefit in Virginia was below the national average.

a. Develop the null and alternative hypotheses that could be used to support the researchers claim.

b. What is the Type I error in this situation?    

c. What is the Type II error in this situation?

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Answer #1

(a) H0 : mu = $238

H1 : mu < $238

(b) Type I Error : Reject H0 when H0 is true.

It is concluded that the mean weekly unemployment insurance benefit in Virginia is less than $238 but actually the mean is $238

(c) Type II Error : Fail to Reject H0 when H0 is false.

It is concluded that the mean weekly unemployment insurance benefit in Virginia is $238 but actually the mean is less than $238.

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