Question

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 H_{0} at the 0.10 significance level.
Fail to reject H_{0} at the 0.5 significance level. Reject
H_{0} at the 0.01 significance level. Reject H_{0}
at the 0.05 significance level. Reject H_{0} at the 0.001
significance level.

Answer #1

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 H0 at the 0.3
significance level.
B) Fail to reject H0 at the 0.1
significance 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:...

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...

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...

Application Exercise:
In a fast food company, all male employees with 3 to 5 years of
experience have an average salary of $27900 with a with a standard
deviation of $5090. A random sample of 27 female employees also
having 3 to 5 years of experience had an average salary of $27200.
The company accountant suspects a different in salary practices for
males and females. What can be concluded with an α of
0.10?
a) What is the appropriate test...

Assume that the results of a yes/no survey question given to a
random sample of male and female subjects are summarized in a 2×2
two-way table. Use the given values of the test statistic and the
significance level to test for independence between gender and
response.
Given a test statistic of chi squaredχ2 equals=3.93.9 and a
significance level equals=0.01, decide whether gender and response
are related or not related.

Exhibit 10-1
Salary information regarding male and female employees of a large
company is shown below.
Male
Female
Sample Size
64
36
Sample Mean Salary (in $1,000)
44
41
Population Variance
128
72
Refer to Exhibit 10-1. If you are interested in testing whether
or not the average salary of males is significantly greater than
that of females, using a 5% level of significance, the conclusion
is ( Use Excel)
Question 6 options:
A
the average salary of...

From the given information in each case below, state what you
know about the P-value for a chi-square test and give the
conclusion for a significance level of ? = 0.01. Use Table
8 in Appendix A.
(a) X2 = 5, df = 2
< P-value <
Conclusion:
Reject H0
Fail to reject
H0
(b) X2 = 12.1, df = 6
< P-value <
Conclusion:
Reject H0
Fail to reject
H0
(c) X2 = 21.24, df = 9
< P-value...

A random sample of 500 male and female adults was asked the
amount of time each person spent watching TV last week. Their
responses are shown at the right. At the 0.05 significance level,
does it appear that the amount of time spent watching TV is related
to the gender of the viewer?
Hours/Gender
Male
Female
Total
Under 8
90
110
200
8 to 15
85
75
160
15 or more
75
65
140
Total
250
250
500
1= the...

Independent random samples of 11 female and 11 male employees
weekly salaries are given. Use the significance level of 0.10 to
test whether the mean salary for females differs from the mean
salary for males. State the hypotheses and the test used. Also
determine the test statistic.
Females: 350, 420, 470, 385, 675, 520, 540, 400, 550, 450,
640
Males: 410, 460, 650, 545, 720, 810, 660, 500, 880, 700, 750

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