# What is a 2 proportion test?

## What is a 2 proportion test?

This tests for a difference in proportions. A two proportion z-test allows you to compare two proportions to see if they are the same. The null hypothesis (H0) for the test is that the proportions are the same.

## What is a two sample proportion?

Two sample Z test of proportions is the test to determine whether the two populations differ significantly on specific characteristics. In other words, compare the proportion of two different populations that have some single characteristic.

**When would you use a two proportion z-test?**

The z score test for two population proportions is used when you want to know whether two populations or groups (e.g., males and females; theists and atheists) differ significantly on some single (categorical) characteristic – for example, whether they are vegetarians.

### How would you test the equality of proportions of two populations?

A hypothesis test formally tests if the proportions in two or more populations are equal. When one variable is an explanatory variable (X, fixed) and the other a response variable (Y, random), the hypothesis of interest is whether the populations have the same or different proportions in each category.

### Which is P1 and P2?

Input Power – P1: Input power is the total electrical power supplied to the pump system. Output Power – P2: Output power is the mechanical power at the shaft of the pump. This is the power that is given as the “Rated Power” of the pump. The difference between P1 and P2 comes from the efficiency of the motor.

**What is z-test used for?**

A z-test is a statistical test used to determine whether two population means are different when the variances are known and the sample size is large.

## What test is used for proportions?

One-Sample Proportion Test

The One-Sample Proportion Test is used to assess whether a population proportion (P1) is significantly different from a hypothesized value (P0). This is called the hypothesis of inequality.

## What is P1 for pump?

P1 is the total induced power to the pump system. P2 is the power coming from the motor (shaft effect). P2 is the nominal power of the motor.