A web$-$based company has a goal of processing $90$ percent of its orders on the same day they are received. If $431$ out of the next $470$ orders are processed on the same day, would this prove that they are exceeding their goal, using $=\mathrm{.}025?$

$($a$)H_0$:$\mathrm{.}90$ versus $H_1$:$>90.$ Choose the right option.

a$.$ Reject $H_{}$ if $z_{\text{c}\text{a}\text{l}\text{c}}>1\mathrm{.}96$

b$.$ Reject $H_{}$ if $z_{\text{c}\text{a}\text{l}\text{c}}<mn\; id="EditorElement\_267171">1</mn><mn\; id="EditorElement\_267172">.</mn><mn\; id="EditorElement\_267173">9</mn><mn\; id="EditorElement\_267174">6</mn>$

$$ a

$$ b