(Solution Library) In each case, determine whether the sample sizes are large enough to conclude that the sampling distribution p_1-p_2 is approximately normal.


Question: In each case, determine whether the sample sizes are large enough to conclude that the sampling distribution \({{p}_{1}}-{{p}_{2}}\) is approximately normal.

  1. n 1 = 12, n 2 = 14, \({{\hat{p}}_{1}}\) = .42, \({{\hat{p}}_{2}}\) = .57
  2. n 1 = 12, n 2 = 14, \({{\hat{p}}_{1}}\) = .92, \({{\hat{p}}_{2}}\) = .86
  3. n 1 = n 2 = 30, \({{\hat{p}}_{1}}\) = .70, \({{\hat{p}}_{2}}\) = .73
  4. n 1 = 100, n 2 = 250, \({{\hat{p}}_{1}}\) = .93, \({{\hat{p}}_{2}}\) = .97
  5. n 1 = 125, n 2 = 200, \({{\hat{p}}_{1}}\) = .08, \({{\hat{p}}_{2}}\) = .12

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