# Nominal data with large sample being separate out into 3 categories. What type of statistical test can be used?

So im working on a research proposal for a college class. I have a large sample of about 300-500. The objects in the sample will separated into 3 categories. I'm looking for some type of test that determines if the difference in amounts between groups is significant.

Ex. Say Group 1 ended up with 145 Group 2 ended up with 95 Group 3 with 60.

What types of test can be done to determine if the differences are significant and are there any test to determine that these are the likely results of the larger population.

• Significant - compared to what? You'll need a null hypothesis (e.g. that the group sizes are equal). Is that the one you're assuming here? Apr 19 at 1:01
• Regarding the Null hypothesis, yes. The null would be that they sizes should be equal. Regarding the significant part. Id say are sizes significantly different compared to one another and would we see that level of difference in the overall population. Apr 19 at 1:04
• Neat, thanks for the extra info. A chi-squared test is pretty typical for this situation. Apr 19 at 1:05
• Awesome thank you. Apr 19 at 1:07
• Please add new info in comments as an edit to the post, so all information is in one place! Apr 19 at 1:58