## General

### One Sample proportion test

when

Confidence Interval

Maximum Error Estimate

### Analysis of Count Data

Setting H0 and H1:

Test statistics:

Where

Confidence Interval

### Test the Differences Among Proportions

Setting H0 and H1:

Test statistics:

Where o is observed frequency, and e is expected frequency.

when we compare k sample proportion.

### The Chi-Square Independence and Homogeneity Tests

Tests using Contingency Tables

Setting H0 and H1:

Testing for Independence:
Testing for Homogeneity:

Test statistics:

Where o is observed frequency, and e is expected frequency.

For each cell of the contingency table, use

### Chi-Square test for goodness of fitness

Setting H0 and H1: