The State of Florida reported that the average unemployment benefit for people who were unemployed as the result of damage done by Hurricane Charley was $ 224 (source: floridajobs.org). You take a random sample of 200 workers who were unemployed because of the damage done by Hurricane Charley and find that the average unemployment benefit for the sample was $ 207. Can we use this sample result to reject the state’s claim and conclude that the overall average benefit is less than $ 224? State the appropriate decision rule in $. Use a significance level of 10% and a population standard deviation of $ 206. (Show the null hypothesis as H₀: μ > $ 224 and the alternative as H_a: μ < $ 224.)