z test

Testing {z test} an outcome that recurs in successive events can show if it is a true outcome.

set up

Assume outcome is true outcome. Set significance level to 5%. Degrees of freedom are sample size minus one. Add number of times outcome happens. Use probability, usually 0.5, suggested by null hypothesis for outcome.

test

Calculate z score for binomial distribution: (P - 0) / (N * p * (1 - p))^0.5, where P is outcome number, p is probability, N is event number, mean equals zero, and standard deviation equals (N * p * (1 - p))^0.5. If z score is less than normal-distribution value with same degrees of freedom at significance level, do not reject hypothesis.

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Date Modified: 2022.0224