The results of a survey of 200200 randomly selected U.S. men and 300300 randomly selected U.S. women are shown in the​ figure, which displays the percentages engaged in working or socializing and communicating on an average day. At alphaαequals=0.100.10​, can you support the claim that the proportion of women who work is less than the proportion of men who work on an average​ day? A side-by-side bar graph titled "Percentage engaged in the activity on an average day" has a horizontal axis labeled "Working" and "Socializing and communicating" and a vertical axis labeled from 0 to 70 in increments of 5. Two vertical bars are above each of the horizontal axis labels, where the left bar represents men and the right bar represents women. The heights of the bars are as follows, where the horizontal axis is listed first, and the heights of the bars in percentages are listed next from left to right: Working, 49 and 36; Socializing and communicating, 34 and 39. Each bar is labeled with its height. Percentage engaged in the activity on an average day.     070WorkingSoc. & Comm.49%36%34%39%   MenWomen   Find the standardized test statistic.