In a sample of 100 automobiles driven at high altitude, \(17 \%\) exceeded a standard of 10 grams of particulate pollution per gallon of fuel consumed. The same cars were driven at sea level, and \(11 \%\) of them exceeded the standard. Let \(p_{1}\) be the proportion of automobiles that exceed the standard at high altitude, and let \(p_{2}\) be the proportion that exceed the standard at sea level. Can the statistic \(\hat{p}_{1}-\hat{p}_{2}=0.17-0.11\) be used to test \(H_{0}: p_{1}-p_{2}=0\) versus \(H_{1}: p_{1}-p_{2}>0\) ? If so, perform the test and compute the \(P\)-value. If not, explain why not.