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Question

The Employment and Training Administration reported the U.S. mean unemployment insurance benefit of $238 per week (The World Almanac, 2003). A researcher in the state of Virginia anticipated that sample data would show evidence that the mean weekly unemployment insurance benefit in Virginia was below the national level.$

$a. Develop appropriate hypotheses such that rejection of H0 will support the researcher’s contention.$

$b. For a sample of 100 individuals, the sample mean weekly unemployment insurance benefit was 231 dollar with a sample standard deviation of 80 dollar. What is the$p$-value?$

$c. At$\alpha= .05$, what is your conclusion?$

$ d. Repeat the preceding hypothesis test using the critical value approach

Solution

VerifiedAnswered 1 year ago

Answered 1 year ago

Step 1

1 of 8Given:

- $\overline{x}$ = Sample mean = 231
- $s$ = Sample standard deviation = 80
- $n$ = Sample size = 100
- $\alpha$ = Significance level = 0.05

In this exercise, we determine the conclusion of a hypothesis test about a population mean when the population standard deviation $\sigma$ is unknown.

*How do you execute a hypothesis test?*

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