Two different areas of a large eastern city are being considered as sites for day-care centers. Of 200 households surveyed in one section, the proportion in which the mother worked fulltime was 0.52. In another section, 40 percent of the 150 households surveyed had mothers working at full-time jobs. At the 0.04 level of signifi cance, is there a signifi cant difference in the proportions of working mothers in the two areas of the city?

  1. Find the mean change in earnings per share between 1991 and 1992.
  2. Find the standard deviation of the change and the standard error of the mean.
  3. Were average earnings per share different in 1991 and 1992? Test at α = 0.02.

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