Even before the \\Ownership Society\" programs of Presidents Clinton and Bush, the federal government was heavily involved in the housing market. In a study just prior to the foreclosure crisis starting in 2008, the Urban Institute started about 80% of the estimated $200 billion of federal housing subsidies consisted of tax breaks. Samples indicated that federal housing benefits average $8,268 for those with incomes $200,000 and $500,000 and only $365 for those with incomes of $40,000 to $50,000. The respective standard deviations were $2,100 and $150. They were obtained from sample sizes of 150. 1. the statistical test obtained is 45.9741 and p value is 0.0000. Test whether the benefits to the high income group are at least $7,500 more than the benefits to the low income group using = 0:05. Make sure to state the null and the alternative hypotheses. Assume bene ts are normally distributed for both income groups. Solution.