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What is the null hypothesis tested by an ANOVA?
ANOVA test null hypothesis is the means among two or more data sets are equal.
What is the meaning of form a hypothesis?
To form an explanation for an observation or scientific problem that can be tested by further investigation.
If the null hypothesis is true and the researchers do not reject it then a correct decision has been made?
True because the point of the hypothesis test is to figure out the probability of the null hypothesis being true or false. If it is tested and it is true, then you do not reject but you reject it, when it is false.
What is referred to by the term expected frequencies?
It is the number of observations that might be expected for a particular category if the [null] hypothesis that is being tested is true.
What are inferential statistics?
Statistical inference is about testing hypotheses. In order to test a hypothesis, you make a prediction about the observations, contrasting the prediction with what might happen if the hypothesis were not true. The prediction is tested against the observations by calculating a test statistic or inferential statistic. This is a value which is based purely on the observations. If the test statistic is too far from the predicted value then the hypothesis should be rejected in favour of the alternative hypothesis.What constitutes "too far" depends on the presumed distribution of the variable being tested, as well as the degree of certainty required from the test - the power of the test. The latter is a balance between probability of rejecting the hypothesis when it is true and that of not rejecting it when it is false. These outcomes may be weighted according to the risk or costs that a false decision carries.
