When population data are discrete and you want to compare two populations, which test is most appropriate?
a. T-test
b. Anderson Darling
c. Leven’s
d. 2-Proprotion test
e. F-test
T test
2-Proprotion test
F-test
To determine which test is most appropriate when comparing two populations with discrete population data, we need to consider the characteristics and assumptions of each test.
a. The t-test is typically used when comparing the means of two populations based on continuous data, so it may not be the most appropriate choice when dealing with discrete data.
b. The Anderson-Darling test is a test for continuous data that checks for a good fit between the observed data and a particular distribution. Therefore, it is not suitable for comparing discrete populations.
c. Levene's test is used to test the equality of variances between two or more populations. It assumes continuous data, so it may not be appropriate for discrete data.
d. The 2-Proportion test, also known as the z-test, is used to compare proportions from two populations. This test is appropriate for discrete data when comparing two populations with a binary (yes/no) outcome.
e. The F-test is primarily used to compare the variances between two populations. It assumes continuous data, so it may not be suitable for discrete data.
Based on the options provided, the most appropriate test for comparing two populations with discrete data is the 2-Proportion test (d).