Question

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 | 86 | 86 | 95 | 90 | 91 |

Defective | 6 | 14 | 14 | 10 | 12 |

(a) Find the test statistic. (Give your answer correct to two
decimal places.)

(ii) Find the *p*-value. (Give your answer bounds
exactly.)

_____< *p* <_____

(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.

You may need to use the appropriate table in Appendix B to answer
this question.

Answer #1

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
94
97
98
91
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
87
92
99
96
93
Defective...

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...

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
95
95
93
94
88...

The following table is from a publication. The individuals in
the following table have an eye irritation, a nose irritation, or a
throat irritation. They have only one of the three. Is there
sufficient evidence to reject the hypothesis that the type of ear,
nose, or throat irritation is independent of the age group at a
level of significance equal to 0.05?
Age (years)
Type of Irritation
18-29
30-44
45-64
65 and Older
Eye
435
566
366
68
Nose
923...

An experiment was designed to compare the lengths of time that
four different drugs provided pain relief after surgery. The
results (in hours) follow. Is there enough evidence to reject the
null hypothesis that there is no significant difference in the
length of pain relief provided by the four drugs at α =
.05?
Drug
A
B
C
D
7
6
8
3
2
5
12
4
3
5
10
4
7
4
8
8
(a) Find the test statistic....

A large supermarket carries four qualities of ground beef.
Customers are believed to purchase these four varieties with
probabilities of 0.06, 0.29, 0.18, and 0.47, respectively, from the
least to most expensive variety. A sample of 517 purchases resulted
in sales of 40, 147, 85, and 245 of the respective qualities. Does
this sample contradict the expected proportions? Use α =
.05.
(a) Find the test statistic. (Give your answer correct to two
decimal places.)
(ii) Find the p-value. (Give...

.Results on seat belt usage from the 2003 Youth Risk Behavior
Survey were published in a USA Snapshot on January 13, 2005. The
following table outlines the results from the high school students
who were surveyed in the state of Nebraska. They were asked whether
or not they rarely or never wear seat belts when riding in someone
else's car. Using α = .05, does this sample present
sufficient evidence to reject the hypothesis that gender is
independent of seat...

The following table is from the publication of Vital and
Health Statistics from the Centers for Disease Control and
Prevention/National Center for Health Statistics. The individuals
in the following table have an eye irritation, a nose irritation,
or a throat irritation. They have only one of the three. Is there
sufficient evidence to reject the hypothesis that the type of ear,
nose, or throat irritation is independent of the age group at a
level of significance equal to .05?
Age...

An experiment was designed to compare the lengths of time that
four different drugs provided pain relief after surgery. The
results (in hours) follow. Is there enough evidence to reject the
null hypothesis that there is no significant difference in the
length of pain relief provided by the four drugs at α =
.05?
Drug
A
B
C
D
4
5
11
3
5
4
9
3
3
3
12
4
6
5
11
10
(a) Find the test statistic....

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