a. Construct contingency tables based on total percentages, row percentages, and
ID: 3208192 • Letter: A
Question
a. Construct contingency tables based on total percentages, row percentages, and column percentages.
b. Which type of
percentagelong dash—row,
column, or
totallong dash—is
most informative for these data?
A.
Row percentages are most informative, since they allow the direct comparison of nonconforming tests' frequencies for the two shifts.
B.
Column percentages are most informative, since they show that only about 4% of all the tests were nonconforming.
C.
Total percentages are most informative, since the goal is to find a pattern in the overall distribution of nonconforming tests.
c. What conclusions concerning the pattern of nonconforming laboratory tests can the laboratory director reach?
A.
Tests performed during the evening shift are fundamentally flawed.
B.
Nonconforming tests more commonly occur during the evening shift.
C.
The best way to reduce the number of nonconforming tests is to perform fewer tests during the day shift.
D.
He cannot reach a conclusion because the size of this sample is too small.
Lab tests Performed Day Evening TOTAL Nonconforming 18 25 43 Conforming 664 293 957 Total 682 318 1000Explanation / Answer
Result:
Lab tests Performed
Day
Evening
TOTAL
Nonconforming
18
25
43
Conforming
664
293
957
Total
682
318
1000
a. Construct contingency tables based on total percentages, row percentages, and column percentages.
Day
Evening
Total
Nonconforming
Observed
18
25
43
% of row
41.9%
58.1%
100.0%
% of column
2.6%
7.9%
4.3%
conforming
Observed
664
293
957
% of row
69.4%
30.6%
100.0%
% of column
97.4%
92.1%
95.7%
Total
Observed
682
318
1000
% of row
68.2%
31.8%
100.0%
% of column
100.0%
100.0%
100.0%
b. Which type of percentagelong dash—row,column, or totallong dash—is most informative for these data?
A.Row percentages are most informative, since they allow the direct comparison of nonconforming tests' frequencies for the two shifts.
B.Column percentages are most informative, since they show that only about 4% of all the tests were nonconforming.
C.Total percentages are most informative, since the goal is to find a pattern in the overall distribution of nonconforming tests.
c. What conclusions concerning the pattern of nonconforming laboratory tests can the laboratory director reach?
A.Tests performed during the evening shift are fundamentally flawed.
B.Nonconforming tests more commonly occur during the evening shift.
C.The best way to reduce the number of nonconforming tests is to perform fewer tests during the day shift.
D.He cannot reach a conclusion because the size of this sample is too small.
Lab tests Performed
Day
Evening
TOTAL
Nonconforming
18
25
43
Conforming
664
293
957
Total
682
318
1000
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