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49 lines
1.2 KiB
Markdown
49 lines
1.2 KiB
Markdown
---
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toc_priority: 69
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toc_title: Statistics
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---
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# Functions for Working with Statistics {#functions-for-working-with-statistics}
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# proportionsZTest {#proportionsztest}
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Applies proportion z-test to samples from two populations (X and Y). The alternative is 'two-sided'.
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**Syntax**
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``` sql
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proportionsZTest(successes_x, successes_y, trials_x, trials_y, significance_level, usevar)
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```
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**Arguments**
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- `successes_x` — The number of successes for X in trials.
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- `successes_y` — The number of successes for X in trials.
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- `trials_x` — The number of trials for X.
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- `trials_y` — The number of trials for Y.
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- `significance_level`
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- `usevar` - It can be `'pooled'` or `'unpooled'`.
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- `'pooled'` - The variance of the two populations are assumed to be equal.
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- `'unpooled'` - The assumption of equal variances is dropped.
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**Returned value**
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- A tuple with the (z-statistic, p-value, confidence-interval-lower, confidence-interval-upper).
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Type: [Tuple](../../sql-reference/data-types/tuple.md).
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**Example**
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Query:
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``` sql
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SELECT proportionsZTest(10, 11, 100, 101, 0.95, 'unpooled');
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```
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Result:
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``` text
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(-0.20656724435948853,0.8363478437079654,-0.09345975390115283,0.07563797172293502)
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```
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