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Add proportionsZTest to docs
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@ -903,6 +903,52 @@ SELECT parseTimeDelta('1yr2mo')
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└──────────────────────────┘
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```
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## proportionsZTest
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Returns test statistics for the two proportion Z-test - a statistical test for comparing the proportions from two populations `x` and `y`.
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**Syntax**
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```sql
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proportionsZTest(successes_x, successes_y, trials_x, trials_y, conf_level, pool_type)
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```
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**Arguments**
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- `successes_x`: Number of successes in population `x`. [UInt64](../data-types/int-uint.md).
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- `successes_y`: Number of successes in population `y`. [UInt64](../data-types/int-uint.md).
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- `trials_x`: Number of trials in population `x`. [UInt64](../data-types/int-uint.md).
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- `trials_y`: NUmber of trials in population `y`. [UInt64](../data-types/int-uint.md).
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- `conf_level`: Confidence level for the test. [Float64](../data-types/float.md).
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- `pool_type`: Selection of pooling (way in which the standard error is estimated). can be either `unpooled` or `pooled`. [String](../data-types/string.md).
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:::note
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For argument `pool_type`: In the pooled version, the two proportions are averaged, and only one proportion is used to estimate the standard error. In the unpooled version, the two proportions are used separately.
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:::
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**Returned value**
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- `z_stat`: Z statistic. [Float64](../data-types/float.md).
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- `p_val`: P value. [Float64](../data-types/float.md).
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- `ci_low`: The lower confidence interval. [Float64](../data-types/float.md).
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- `ci_high`: The upper confidence interval. [Float64](../data-types/float.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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```response
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┌─proportionsZTest(10, 11, 100, 101, 0.95, 'unpooled')───────────────────────────────┐
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│ (-0.20656724435948853,0.8363478437079654,-0.09345975390115283,0.07563797172293502) │
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└────────────────────────────────────────────────────────────────────────────────────┘
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```
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## least(a, b)
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Returns the smaller value of a and b.
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