One Proportion Z Test Calculator

One Proportion Z Test is a hypothesis test to make comparison between a group to specified population proportion. Hypothesis test need an analyst to state a null hypothesis and an alternative hypothesis. The results are mutually exclusive. That is if one is true, the other one must be false and vice versa. Use this One Proportion Z Test statistics calculator to find the value of Z - test statistic by entering observed proportion, sample size and null hypothesis value.

One Proportion Z Test Statistics Calculator

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One Proportion Z Test is a hypothesis test to make comparison between a group to specified population proportion. Hypothesis test need an analyst to state a null hypothesis and an alternative hypothesis. The results are mutually exclusive. That is if one is true, the other one must be false and vice versa. Use this One Proportion Z Test statistics calculator to find the value of Z - test statistic by entering observed proportion, sample size and null hypothesis value.

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Formula

z = (p^ - p0) / √p0(1 - p0) / n Where, p^ - Observed proportion, p0 - Null hypothesis value, n - sample size, Z - test statistic

Example

Doctors recommend aspirin for their patients with headaches. To test this claim, a random sample of 92 doctors is obtained, indicating with observed proportion of 85%, null hypothesis value of 72%.
Observed proportion (p^) = 85
= 85 / 100 = 0.85
Sample size ( n ) = 92
Null hypothesis value (Po) = 72 / 100 = 0.72
Test Statistic (z) = (0.85 - 0.72) / √0.72 (1 - 0.72) / 92
= 0.13 / √0.72 (1 - 0.72) / 92
= 0.13 / 0.046811366
= 2.777103321


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