A researcher wishes to test the claim that the average cost of tuition and fees at a four-year public college is greater than \(\$ 5700\). She selects a random sample of 36 four-year public colleges and finds the mean to be \(\$ 5950\). The population standard deviation is \(\$ 659\). Is there evidence to support the claim at \(\alpha=0.05\) ? Use the \(P\)-value method.