In a study of income inequality in Los Angeles and Orange counties, researchers surveyed 100 households in each county and wanted to test the null hypothesis that the variance in household income was the same for these two counties. What type of statistical test should they use? O TMAX test OChi-squared test OF test Kolmogorov-Smirnov test OShapiro-Wilk testComparing Quantiles for the Kolmogorov-Smirnov and Kolmogorov-Lilliefors Test Statistics 0/1 point (graded) Let X1, ..., Xn ~ N (M, 62), let Fn (1 ) = = [1(Xis1) denote their empirical distribution, and let @,2denote the cdf of the distribution N (1, 62). Recall that in the Kolmogorov-Smirnov test, we considered the test statistic In = Vn sup | Fn (1) - Du,of TEK In the Kolmogorov-Lilliefors test, we consider the test statistic In = Vn sup | Fn(1) - 1-H,of Let qn denote the 1 - 7 quantile of In (i.e., P(Tn 2 qn) = ) and let qn denote the 1 - 7 quantile of In (i.e., P(T , > gh) = n) . Which of the following do you expect to be true? Hint: Start by arguing informally which of Qu,62 and Du,2 better approximates Fn. O an > an O an qh or an