Suppose as a part of a national study of economic competitiveness a marketing research firm randomly sampled 160 adults between the ages of 27 and 35 living in City A and 210 adults between the ages of 27 and 35 living in City B. Each adult selected in the sample was asked, among other things, whether they had a college degree. From the City A sample 50 adults answered yes and from the City B sample 103 adults answered yes when asked if they had a college degree. Based on the sample data, can we conclude that there is a difference between the population proportions of adults between the ages of 27 and 35 in the two cities with college degrees? Use a level of significance of 0.02 to conduct the appropriate hypothesis test. Now calculate the z-test statistic, and critical values.
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