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Multiple Choice and True/False Quiz
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1.
When we carry out a chi-square test for independence, the null hypothesis states that the two relevant classifications
A)are mutually exclusive.
B)form a contingency table with r rows and c columns.
C)have (r-1) and (c-1) degrees of freedom where r = number of rows and c = number of columns.
D)are statistically independent.
E)are normally distributed.
2.
The X2 statistic for the goodness of fit test for multinominal probabilities has the following degrees for freedom
A)K-1
B)K-3
C)(R-1)(C-1)
D)K-1-m
3.
A chi-square goodness of fit test is considered to be valid if each of the expected cell frequencies is ___________________.
A)greater than zero.
B)less than 5.
C)between O and 5.
D)at most 1.
E)at least 5.
4.
The X2 statistic from a contingency table with 6 rows and five columns will have _____ degrees of freedom.
A)30
B)24
C)5
D)20
E)25
5.
For the chi-square goodness of fit test, the rejection point X2α is
A)in the left tail of a chi-square curve.
B)in both the left and right tails of a chi-square curve.
C)in the right tail of the appropriate F curve.
D)in the right tail of a chi-square curve.
6.
The X2 statistic is used to test whether the assumption of normality is reasonable for a given population distribution. The sample consists of 5000 observations and is divided into 6 categories (intervals). The degrees of freedom for the chi-square statistic is:
A)4999
B)6
C)5
D)4
E)3
7.
The actual counts in the cells of a contingency table are referred to as the expected cell frequencies.
A)True
B)False
8.
Homogeneity is a test of the null hypothesis that all multinomial probabilities are equal.
A)True
B)False
9.
In a contingency table, when all the expected frequencies equal the observed frequencies, the calculated statistic equals zero.
A)True
B)False
10.
When using the chi-square goodness of fit test with multinomial probabilities, the rejection of the null hypothesis indicates that at least one of the multinomial probabilities is not equal to the value stated in the null hypothesis.
A)True
B)False
11.
A fastener manufacturing company uses a chi-square goodness of fit test to determine if the population of all lengths of 1/4 inch bolts it manufactures is distributed according to a normal distribution. If we reject the null hypothesis, it is reasonable to assume that the population distribution is at least approximately normally distributed.
A)True
B)False
12.
When using the chi-square goodness of fit test, if the value of the chi-square statistic is large enough, we reject the null hypothesis.
A)True
B)False





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