Which of the following statements about a goodness-of-fit test is false?
A) It determines the likelihood that sample data have been generated from a population that conforms to a specified type of probability distribution.
B) It compares the entire shapes of two (discrete or continuous) probability distributions: one describing known population data and the other one describing hypothetical sample data.
C) The aim of the test might be limited to identifying only the family to which the underlying distribution belongs.
D) The aim of the test might be limited to identifying only the family to which the underlying distribution belongs or it might go further, seeking even to identify a particular member of that family.
E) None of these.

Question

Quizplus · Accepted Answer

A goodness-of-fit test is used to compare a population distribution to a sample to see if they match. However, it does not compare two probability distributions, but rather it compares the observed distribution of the sample to the expected distribution under the null hypothesis. The null hypothesis is that the sample was drawn from a population with a specific distribution. Therefore, statement B is false.

Which of the Following Statements About a Goodness-Of-Fit Test Is