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What does the test statistic measure?
The test statistic is a measure of how close the sample proportion is to the null value.
When can a null hypothesis be rejected?
Usually when the test statistic is in the critical region.
What do you call the statement that determines if the null hypothesis is rejected?
The hypothesis test.
How would you determine the expected frequencies for a chi-square goodness of fit test?
You first decide on a null hypothesis. Expected frequencies are calculated on the basis of the null hypothesis, that is, assuming that the null hypothesis is true.
How do you know if you have enough information to draw an hypothesis test in statistics?
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.
