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: