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The accompanying data set lists full IQ scores for a random sample of subjects with medium lead levels in their blood and another random sample of subjects with high lead levels in their blood. Use a $0$.$01$ significance level to test the claim that IQ scores of subjects with medium lead levels vary more than IQ scores of subjects with high lead levels.$\newline$\begin{tabular}{lrrrrrrrr} $\newline$Medium & $83$ & $86$ & $92$ & $72$ & $77$ & $91$ & $82$ & $46$ \\$\newline$& $98$ & $93$ & $114$ & $79$ & $71$ & $90$ & $111$ & $78$ \\$\newline$& & & & & & & & \\$\newline$High & $101$ & $85$ & $85$ & $82$ & $79$ & $76$ & $104$ & $88$ \\$\newline$& $104$ & $94$ & $89$ & $80$ & $75$ & $93$ & $75$ &$\newline$\end{tabular}$\newline$Let sample $1$ be the sample with the larger sample variance, and let sample $2$ be the sample with the smaller sample variance. What are the null and alternative hypotheses?$\newline$A. $H_{0}: \sigma_{1}^{2}=\sigma_{2}^{2}$$\newline$B.$\newline$$$\begin{array}{l} H_{0}: \sigma_{1}^{2}=\sigma_{2}^{2} \\ H_{1}: \sigma_{1}^{2} \neq \sigma_{2}^{2} \end{array}$$$\newline$ \mathrm{H}_{1}: \sigma_{1}^{2}<\sigma_{2}^{2} $\newline$C. $\mathrm{H}_{0}: \sigma_{1}^{2}=\sigma_{2}^{2}$$\newline$ \mathrm{H}_{1}: \sigma_{1}^{2}>\sigma_{2}^{2} $\newline$D.$\newline$$$\begin{array}{l} H_{0}: \sigma_{1}^{2} \neq \sigma_{2}^{2} \\ H_{1}: \sigma_{1}^{2}=\sigma_{2}^{2} \end{array}$$$\newline$Identify the test statistic.$\newline$The test statistic is $\square$$\newline$(Round to two decimal places as needed.)