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Two-tailed p-value for z = 2.1

0.035729

Significant at the 0.05 level, not at 0.01

Significant at α = 0.05?
Yes
Significant at α = 0.01?
No
Distribution
N(0, 1)
−3−2−10123
Shaded area = p-value (0.035729)

Step by step

  1. Distribution under the null hypothesis: N(0, 1)
  2. Left tail: P(Z < 2.1) = 0.982136
  3. Right tail: P(Z > 2.1) = 0.017864
  4. Two-tailed test: p = 2 × P(Z > |2.1|) = 2 × 0.017864 = 0.035729
  5. Compare with α: p < 0.05 but p ≥ 0.01

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