information against a two$-$sided hypothesis, identify the null and alternative hypotheses. Choose the correct answer below.

$A.\{\begin{array}{c}\text{:}[H_0\text{:}{}_x^2{}_y^2]\\ H_1\text{:}{}_x^2>{}_y^2\end{array}$

C$.$

$H_0$:${}_x^2{}_y^2$

$H_1$:${}_x^2<msubsup\; id="EditorElement\_603882"><mrow><mi\; id="EditorElement\_603868"></mi></mrow><mrow\; id="EditorElement\_603874"><mi\; id="EditorElement\_603871">y</mi></mrow><mrow\; id="EditorElement\_603881"><mn\; id="EditorElement\_603878">2</mn></mrow></msubsup>$

B$.$

$H_0$:${}_x^2={}_y^2$

$H_1$:${}_x^2{}_y^2$

D$.$

$H_0$:${}_x^2{}_y^2$

$H_1$:${}_x^2<msubsup\; id="EditorElement\_603556"><mrow><mi\; id="EditorElement\_603542"></mi></mrow><mrow\; id="EditorElement\_603548"><mi\; id="EditorElement\_603545">y</mi></mrow><mrow\; id="EditorElement\_603555"><mn\; id="EditorElement\_603552">2</mn></mrow></msubsup>$