one-proportion z-test

z = 2.4, p = 0.0164

Large counts under H0: np0 = 50, n(1 - p0) = 50 (both at least 10, condition met).

Steps

  1. 1.p-hat = 62 / 100 = 0.62
  2. 2.SE under H0 = sqrt(p0(1 - p0)/n) = sqrt(0.5 x 0.5 / 100) = 0.05
  3. 3.z = (p-hat - p0) / SE = (0.62 - 0.5) / 0.05 = 2.4
  4. 4.p-value = 0.0164

Proportion z test calculator: one and two-sample · free from StatsLearn