To test a prediction based on one of two hypotheses.
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Kruskal-Wallis H test.
The power of a statistical test is the probability that the test will reject the null hypothesis when it is, in fact, false. Please see the link.
Yes, if the data collected will relate to more than one of them.
You can use the z test for two proportions. The link below will do this test for you.
The power of a statistical test is defined as being a probability that a test will product a result that is significantly different. It can be defined as equaling the probability of rejecting the null hypothesis.