Question

I have calculated the following proportions:

Population proportion: .222

population standard deviation = 12.6

Sample A : .2

Sample B : .1

Sample C : .35

How should I go about testing the following hypothesis? How do you prove it right or wrong for each sample individually?

Thanks!

Answer 1

The first thing you need to do is deciding the test you want to do.

For example, say you want to compare the proportions of sample A and sample B whether they are the same or not. You will have to perform a two-proportion z test and for this, you would be needing sample sizes as well.

You can also compare one sample proportion from the population using a one-proportion z test.

I would suggest you use any statistical software for the same to make it easy for yourself. You can use R, Minitab, SPSS, etc.

The test (claim or alternative hypothesis) will be proved wrong or right based on the p-value you obtain by performing the test. If the p-value is less than the level of significance then you can say the test is proved right otherwise proved wrong. The level of significance is generally defined as 0.05.

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Good luck with your studies!!!