Question

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 |

Defective | 9 | 9 | 9 | 7 | 13 |

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

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

< *p* <

1B) A sample of 200 individuals are tested for their blood type is given in the first table, and the results are used to test the hypothesized distribution of blood types. The observed results are given in the second table. At the .05 level of significance, is there sufficient evidence to show that the stated distribution is incorrect?

Blood Type | A | B | O | AB |

Percent | 0.4 | 0.1 | 0.41 | 0.09 |

Blood Type | A | B | O | AB |

Number | 66 | 14 | 87 | 33 |

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

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

< *p* <

Answer #1

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...

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...

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...

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...

A sample of 200 individuals are tested for their blood type is
given in the first table, and the results are used to test the
hypothesized distribution of blood types. The observed results are
given in the second table. At the .05 level of significance, is
there sufficient evidence to show that the stated distribution is
incorrect?
Blood Type
Â Â A Â Â
Â Â B Â Â
Â Â O Â Â
Â Â AB Â Â
Percent...

A sample of 200 individuals are tested for their blood type is
given in the first table, and the results are used to test the
hypothesized distribution of blood types. The observed results are
given in the second table. At the .05 level of significance, is
there sufficient evidence to show that the stated distribution is
incorrect?
Blood Type
A
B
O
AB
Percent
0.4
0.1
0.41
0.09
Blood Type
A
B
O
AB
Number
66
14
87
33
(a)...

1A) 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
2
4
9
4
8
6
8
2
7
6
11
2
3
5
10
9
(a) Find the test...

A new operator was recently assigned to a crew of workers who
perform a certain job. From the records of the number of units of
work completed by each worker each day last month, a sample of size
five was randomly selected for each of the two experienced workers
and the new worker. At the α = .05 level of significance,
does the evidence provide sufficient reason to reject the claim
that there is no difference in the amount of...

The following is data on the blood group of 36 patients in a
hospital. Answer the questions below using R programming.
"O","A","B","O","A","A","A","O","O",
"O","A","O","A","B","O","O","O","AB",
"B","A","A","O","O","A","A","O","AB",
"O","A","A","B","A","O","A","O","O"
a.) Conduct a hypothesis testing to test if the population
proportion of blood type "B" is above 0.06. Find the p-value.
b.) Conduct a hypothesis testing to test if the population
proportion of blood type "O" is below 0.5. Find the test statistic
using function " prop.test " in R.

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