Question
In: Statistics and Probability
The manager of an assembly process wants to determine whether or not the number of defective...
The manager of an assembly process wants to determine whether or not the number of defective articles manufactured depends on the day of the week the articles are produced. She collected the following information. Is there sufficient evidence to reject the hypothesis that the number of defective articles is independent of the day of the week on which they are produced? Use α = 0.01.
| Day of Week | M | Tu | W | Th | F |
| Nondefective | 89 | 94 | 96 | 97 | 94 |
| Defective | 12 | 9 | 3 | 3 | 8 |
(a) Find the test statistic. (Round your answer to two decimal
places.)
(ii) Find the p-value. (Round your answer to four decimal
places.)
(b) State the appropriate conclusion.
Reject the null hypothesis. There is significant evidence that the number of defective articles is not independent to day of the week. Fail to reject the null hypothesis. There is not significant evidence that the number of defective articles is not independent to day of the week. Reject the null hypothesis. There is not significant evidence that the number of defective articles is not independent to day of the week. Fail to reject the null hypothesis. There is significant evidence that the number of defective articles is not independent to day of the week.
Solutions
orchestra answered 1 year agoRelated Solutions
The manager of an assembly process wants to determine whether or not the number of defective...
The manager of an assembly process wants to determine whether or
not the number of defective articles manufactured depends on the
day of the week the articles are produced. She collected the
following information. Is there sufficient evidence to reject the
hypothesis that the number of defective articles is independent of
the day of the week on which they are produced? Use α =
0.01.
Day of Week
M
Tu
W
Th
F
Nondefective
88
92
98
97
91
Defective...
1A) The manager of an assembly process wants to determine whether or not the number of...
1A) The manager of an assembly process wants to determine
whether or not the number of defective articles manufactured
depends on the day of the week the articles are produced. She
collected the following information. Is there sufficient evidence
to reject the hypothesis that the number of defective articles is
independent of the day of the week on which they are produced? Use
α = 0.05.
Day of Week
M
Tu
W
Th
F
Nondefective
90
93
86
91
88...
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b
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