Question

A random sample of 150 egg lovers is asked to state their gender
and egg preference. The results are recorded in the
table.

Gender | Fried | Poached | Scrambled | Boiled |
---|---|---|---|---|

Male | 22 | 21 | 16 | 18 |

Female | 25 | 13 | 21 | 4 |

A chi-square test is used to test the null hypothesis that gender
and egg preference are independent. Which of the following
statements is correct?

A) Fail to reject H_{0} at the 0.3
significance level.

B) Fail to reject H_{0} at the 0.1
significance level.

C) Reject H_{0} at the 0.01 significance
level.

D) Reject H_{0} at the 0.005 significance
level.

E) Fail to reject H_{0} at the 0.01 significance
level.

Answer #1

A random sample of 200 employees at a specific company is asked
to state their gender and annual salary. The results are recorded
in the table.
Gender
$50,000
$75,000
$100,000
>$100,000
Male
29
34
12
20
Female
41
44
6
14
A chi-square test is used to test the null hypothesis that
gender and salary are independent. Which statement is correct?
Fail to reject H0 at the 0.10 significance level.
Fail to reject H0 at the 0.5 significance level. Reject...

Is a person's favorite pizza topping dependent on their gender?
A random sample of pizzas ordered and the gender of the person who
ordered were recorded and the results are found in the table below.
Use this data to test whether or not pizza topping preference is
independent of gender at the α=0.01α=0.01 level of
significance.
Which would be correct hypotheses for this test?
H0:H0:Pizza topping preference and gender are independent;
H1:H1:There is some relationship between a person's gender and...

Is a person's favorite pizza topping dependent on their gender?
A random sample of pizzas ordered and the gender of the person who
ordered were recorded and the results are found in the table below.
Use this data to test whether or not pizza topping preference is
independent of gender at the α=0.10α=0.10 level of
significance.
Which would be correct hypotheses for this test?
H0:H0:Pizza topping preference and gender are
independent; H1:H1:There is some relationship between a
person's gender and their pizza...

The following table shows the Myers-Briggs personality
preference and area of study for a random sample of 519 college
students. In the table, IN refers to introvert, intuitive; EN
refers to extrovert, intuitive; IS refers to introvert, sensing;
and ES refers to extrovert, sensing.
Myers-Briggs
Preference
Arts &
Science
Business
Allied
Health
Row
Total
IN
63
9
24
96
EN
85
44
25
154
IS
52
36
27
115
ES
79
47
28
154
Column
Total
279
136
104
519...

The following table shows the Myers-Briggs personality
preferences for a random sample of 406 people in the listed
professions. E refers to extroverted and I refers to
introverted.
Personality Type
Occupation
E
I
Row
Total
Clergy (all denominations)
62
45
107
M.D.
70
92
162
Lawyer
61
76
137
Column
Total
193
213
406
Use the chi-square test to determine if the listed occupations
and personality preferences are independent at the 0.05 level of
significance.
(a) What is the level...

The following table shows the Myers-Briggs personality
preferences for a random sample of 406 people in the listed
professions. E refers to extroverted and I refers to
introverted.
Personality Type
Occupation
E
I
Row
Total
Clergy (all denominations)
64
43
107
M.D.
64
98
162
Lawyer
61
76
137
Column
Total
189
217
406
Use the chi-square test to determine if the listed occupations
and personality preferences are independent at the 0.05 level of
significance.
(a) What is the level...

Academic staff members at a college were cross-classified
according to gender and political affiliation. The two-way table
below shows the results.
Democrat
Republican
R total
Male
39
19
Female
85
26
C total
169
Calculate the marginal counts (row and column totals) in the table.
Then, conduct a test to determine whether gender and political
affiliation are independent at the significance level of 0.1.
(a) State the null and alternative hypotheses.
H0:H0: Gender and political affiliation select are are
not independent.
Ha:Ha:...

The following table shows the Myers-Briggs personality
preferences for a random sample of 406 people in the listed
professions. E refers to extroverted and I refers to
introverted.
Personality Type
Occupation
E
I
Row
Total
Clergy (all denominations)
61
46
107
M.D.
71
91
162
Lawyer
54
83
137
Column Total
186
220
406
Use the chi-square test to determine if the listed occupations
and personality preferences are independent at the 0.05 level of
significance.
(a) What is the level...

The following table shows the Myers-Briggs personality
preferences for a random sample of 519 people in the listed
professions. T refers to thinking and F refers to feeling.
Personality Type
Occupation
T
F
Row
Total
Clergy (all denominations)
55
93
148
M.D.
79
80
159
Lawyer
120
92
212
Column Total
254
265
519
Use the chi-square test to determine if the listed occupations
and personality preferences are independent at the 0.01 level of
significance.
(a) What is the level...

The following table shows the Myers-Briggs personality
preferences for a random sample of 406 people in the listed
professions. E refers to extroverted and I refers to
introverted.
Personality Type
Occupation
E
I
Row
Total
Clergy (all denominations)
61
46
107
M.D.
64
98
162
Lawyer
56
81
137
Column
Total
181
225
406
Use the chi-square test to determine if the listed occupations
and personality preferences are independent at the 0.05 level of
significance.
(a) What is the level...

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