Question: The Employment and Training Administration reported that the U.S. mean unemployment

insurance benefit was $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 un-

employment insurance benefit in Virginia was below the national average.

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

b. For a sample of 100 individuals, the sample mean weekly unemployment insurance

benefit was $231 with a sample standard deviation of $80. What is the p-value?

c. At α = .05, what is your conclusion?

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