A researcher is interested in seeing if the average income of rural families is less than that of urban families. To see if his claim is correct he randomly selects 59 families from a rural area and finds that they have an average income of $68184 with a population standard deviation of $849. He then selects 44 families from a urban area and finds that they have an average income of $69736 with a population standard deviation of $881. Perform a hypothesis test using a significance level of 0.01 to test his claim. Let rural families be sample 1 and urban families be sample 2.