# Z Test of Two Proportions

Statistics Solutions provides a data analysis plan template for the z test of two proportions analysis. You can use this template to develop the data analysis section of your dissertation or research proposal.

The template includes research questions stated in statistical language, analysis justification and assumptions of the analysis. Simply edit the blue text to reflect your research information and you will have the data analysis plan for your dissertation or research proposal.

**Data Analysis Plan: Z Test of Two Proportions**

Copy and paste the following into a word document to use as your data analysis plan template.

*Research Question:*

Is there a difference in the frequency of variable across groups (group 1 vs. group 2)?

H_{o}: There is no difference in the frequency of variable across groups (group 1 vs. group 2).

H_{a}: There is a difference in the frequency of variable across groups (group 1 vs. group 2).

*Data Analysis*

To examine the research question, a *z* test of two proportions will be conducted. The *z* test of two proportions is an appropriate analysis if the extent of the research question is to examine if statistical proportional differences exist between two independent populations such as control verses experimental groups. In this analysis, the variable will be compared between groups (group 1 vs. group 2). Rejection of the null hypothesis will be rendered, given an alpha of 0.05, when test results conclude that the calculated *z *value is greater than the critical *z* value, thus revealing a significant proportional difference. Setting alpha at 0.05 will ensure that the researcher can be 95% certain that differences did not occur randomly.

**Reference**

Statistics Solutions. (2013). Data analysis plan: Z Test of Two Proportions [WWW Document]. Retrieved from http://www.statisticssolutions.com/academic-solutions/member-resources/member-profile/data-analysis-plan-templates/data-analysis-plan-z-test-of-two-proportions/