return for follow-up surgery, the operation is called a "clear" operation. A heart center wants to
compare the proportion of clear operations for the 4 procedures, and collects the following numbers
of patients from their own records:
Procedure
A
B
C
D
Total
Clear
27
41
21
7
96
Return
11
15
9
11
46
Total
38
56
30
18
142
They will use this information to test for a difference among the proportion of clear operations
using a chi-square test with a level of significance of 0.05.
79.
Referring to Table 12-11, the test will involve _________ degrees of freedom.

3
TYPE: FI
DIFFICULTY: Easy
KEYWORDS: chi-square test for difference in proportions, degrees of freedom
80.
Referring to Table 12-11, the overall or average proportion of clear operations is __________.

TYPE: FI
DIFFICULTY: Easy
KEYWORDS: chi-square test for difference in proportions, properties
81.
Referring to Table 12-11, the expected cell frequency for the Procedure A/Clear cell is
__________.

TYPE: FI
DIFFICULTY: Moderate
KEYWORDS: chi-square test for difference in proportions, contingency table, properties
82.
Referring to Table 12-11, the expected cell frequency for the Procedure D/Return cell is
__________.

TYPE: FI
DIFFICULTY: Moderate
KEYWORDS: chi-square test for difference in proportions, contingency table, properties

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Tests for Two or More Samples with Categorical Data
93
83.
Referring to Table 12-11, the critical value of the test is ________.

TYPE: FI
DIFFICULTY: Easy
KEYWORDS: chi-square test for difference in proportions, critical value
84.
Referring to Table 12-11, the value of the test statistic is _________.

7.867
TYPE: FI
DIFFICULTY: Moderate
KEYWORDS: chi-square test for difference in proportions, test statistic
85.
True or False: Referring to Table 12-11, the null hypothesis will be rejected.

TYPE: TF
DIFFICULTY: Moderate
KEYWORDS: chi-square test for difference in proportions, decision
86.
True or False: Referring to Table 12-11, the decision made suggests that the 4 procedures all
have different proportions of clear operations.

TYPE: TF
DIFFICULTY: Moderate
KEYWORDS: chi-square test for difference in proportions, conclusion
87.
True or False: Referring to Table 12-11, the decision made suggests that the 4 procedures do
not all have the same proportion of clear operations.

TYPE: TF
DIFFICULTY: Moderate
KEYWORDS: chi-square test for difference in proportions, conclusion
TABLE 12-12
The director of admissions at a state college is interested in seeing if admissions status (admitted,
waiting list, denied admission) at his college is independent of the type of community in which an
applicant resides.
He takes a sample of recent admissions decisions and forms the following table:
Admitted
Wait List
Denied
Total
Urban
45
21
17
83
Rural
33
13
24
70
Suburban
34
12
39
85
Total
112
46
80
238
He will use this table to do a chi-square test of independence with a level of significance of 0.01.

94
Tests for Two or More Samples with Categorical Data
88.
Referring to Table 12-12, the test will involve _________ degrees of freedom.