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Multiple Choice Quiz
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1
The actual counts in the cells of a contingency table are referred to as the expected cell frequencies.
A)True
B)False
2
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.
3
Homogeneity is a test of the null hypothesis that all multinomial probabilities are equal
A)True
B)False
4
In a contingency table, when all the expected frequencies equal the observed frequencies the calculated statistic equals zero.
A)True
B)False
5
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
6
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
7
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
8
The χ2 statistic for the goodness-of-fit test for multinomial probabilities has the following degrees for freedom
A)K - 1
B)K - 3
C)(R - 1)(C - 1)
D)K - 1 - m
9
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 0 and 5
D)at most 1
E)at least 5
10
The χ2 statistic from a contingency table with 6 rows and 5 columns will have _____ degrees of freedom.
A)30
B)24
C)5
D)20
E)25
11
For the chi-square goodness-of-fit test, the rejection point χ2a 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.
12
The χ2a statistic is used to test whether the assumption of normality is reasonable for a given population distribution. The sample consists of 5,000 observations and is divided into 6 categories (intervals). The degrees of freedom for the chi-square statistic is _____.
A)4
B)6
C)5
D)4
E)3
13
Another name for a two-way cross-classification table is
A)cell frequency table.
B)cell percentage table.
C)contingency table.
D)chi-square table.
E)expected value table.
14
A multinomial experiment concerns count data that can be classified
A)into more than two categories.
B)into two categories.
C)into no more than three categories.
D)fewer than five categories.
15
A chi-square statistic compares the observed and the expected frequencies.
A)True
B)False





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