In a comparison of two categories, a relationship that holds among several groups can change or even reverse when combining the groups.
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You use a z test when you are testing a hypothesis that is using proportions You use a t test when you are testing a hypothesis that is using means
When you formulate and test a statistical hypothesis, you compute a test statistic (a numerical value using a formula depending on the test). If the test statistic falls in the critical region, it leads us to reject our hypothesis. If it does not fall in the critical region, we do not reject our hypothesis. The critical region is a numerical interval.
1)Ask a question 2)Make a hypothesis (predict what will happen with your experiment) 3)Research your hypothesis 4)Test your hypothesis 5)Collect/organized your data 6)Results 7)Draw a conclusion
It depends on the population.Use t-test for a small population, N < 30; otherwiase, apply z-test or when N>=30.
You can test a hypothesis with very little information. For hypothesis testing you will have a null hypothesis, and alternative and some test statistic. The hypothesis test consists of checking whether or not the test statistic lies in the critical region. If it does, then you reject the null hypothesis and accept the alternative. The default option is to stick with the null hypothesis.If the number of observations is very small then the critical region is so small that you have virtually no chance of rejecting the null: you will default to accepting it.Different test have different powers and these depend on the underlying distribution of the variable being tested as well as the sample size.