A contingency table test with 4 rows and 30 degrees of freedom implies that the table must have:
a. 7 columns
b. 9 columns
c. 11 columns
d. 13 columns
e. 15 columns
Q. 2Which 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.
Q. 3Which of the following statements about the chi-square distribution is false?
a. A different chi-square distribution exists for each possible number of degrees of freedom.
b. Because the chi-square random variable is a sum of squared deviations, negative values are impossible.
c. All values range between zero and one.
d. All chi-square distributions are skewed to the right.
e. All of these.
Q. 4Which of the following statements about a contingency table test is false?
a. The nature of the sampling distribution of chi-square depends on the number of degrees of freedom associated with the problem under investigation.
b. The degrees of freedom are found as (r - 2)(c - 2), where r represents number of rows and c represents number of columns.
c. The contingency table must have a minimum of 2 rows and 2 columns.
d. All of these.
e. None of these.
Q. 5Consider a cell in a contingency table. Given the cell's row total of 200, the cell's column total of 75, and a sample size of 1,000, the cell's expected frequency:
a. equals 10
b. equals 15
c. equals 20
d. equals 25
e. cannot possibly be determined without additional information
Q. 6A contingency table:
a. classifies data with respect to two qualitative variables
b. divides each variable into two or more categories
c. contains numbers that show the frequency of occurrence of all possible combinations of categories
d. all of these
e. none of these
Q. 7A contingency table test with 4 rows and 15 degrees of freedom implies:
a. 5 columns
b. 6 columns
c. 9 columns
d. 11 columns
e. 60 columns
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