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Do Interstate Drivers Exceed the Speed Limit More Frequently Than

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Do interstate drivers exceed the speed limit more frequently than local motorists? This vital question was addressed by the Road Traffic Authority. A random sample of the speeds of 2500 randomly selected cars was categorised according to whether the car was registered in the state or in some other state, and whether or not the car was violating the speed limit. The data are shown below.  Local cars  Interstate cars  Speeding 521328 Not speeding 1141510\begin{array} { | l | r | r | } \hline & \text { Local cars } & \text { Interstate cars } \\\hline \text { Speeding } & 521 & 328 \\\hline \text { Not speeding } & 1141 & 510 \\\hline\end{array} Do these data provide enough evidence to support the highway patrol's claim at the 5% significance level?

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H0: p1 - p2 = 0.
HA: p1 - p2 < 0.
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