Suppose as a part of a national study of economic competitiveness a marketing research firm randomly sampled200adults between the ages of 27 and 35 living in City A and140adults between the ages of 27 and 35 living in City B. Each adult selected in the sample wasasked,among otherthings,whether they had a college degree. From the City A sample76adults answered yes and from the City B sample39adults answered yes when asked if they had a college degree. Based on the sampledata,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 collegedegrees?Use a level of significance of0.05to conduct the appropriate hypothesis test.

If you were testing the hypothesis described above,calculate the value of the z-test statisticyou would use.

(Roundto four decimal places asneeded.)