The two-sample Z test of proportions is used to see if two populations differ significantly on certain features. To put it another way, compare the proportion of two populations that share a common trait.
When you wish to see if two populations or groups (e.g., males and females; theists and atheists) differ significantly on a single (categorical) attribute, such as whether they are vegetarians, the z score test for two population proportions is utilised.
To estimate the proportion of a population, the One Sample Proportion Test is performed. It calculates a range of values that are likely to include the population proportion and compares it to a goal or reference value. This is also known as the inequality theory.
The Two-Sample Z-test compares the means of two samples to discover if they are likely to come from the same population. The null hypothesis states that the population means are all the same.
To see if two population means are equal, use the two-sample t-test. A common application is to see if a new procedure or treatment is better than an existing one.