Question

Is there a relationship between being bullied and a person’s
gender identity? Below is a frequency

distribution of gender identity among children age 13 and the
frequency of being bullied.

Frequency of being bullied

Gender Never Occasionally Frequently

Male 1564 1149 571

Female 1526 1281 629

a) What are the null and alternative hypotheses being tested by the
chi-square test?

b) Calculate the percentage of male and females who report being
never, occasionally, and

frequently bullied. Include this table in your homework.

c) Based on your findings, describe the relationship between gender
and bullying.

d) What is the expected number of boys who we would expect to be
frequently bullied under the

null hypothesis? Be sure to show your work in your homework.

e) The chi-square statistics for these data is 7.007. What are the
degrees of freedom from this

test?

f) What is the p-value?

g) Is the relationship between gender and frequency of being
bullied statistically significant at

alpha = .05?

h) What do you conclude from your test about the null and
alternative hypothesis?

Answer #1

a) Null hypothesis H0: Gender and Bullying are independent.

ALTERNATIVE HYPOTHESIS Ha: Gender and Bullying are NOT independent.

b)

C) BASED ON MY FINDINGS GENDER AND BULLYING ARE NOT INDEPENDENT OF EACH OTHER.

d)

E) DEGREES OF FREEDOM= (n-1)*(m-1)=(2-1)*(3-1)=2

F) The p-value is .030099.

G) Since P value < 0.05 level of significance therefore SIGNIFICANT. Yes the relationship between gender and frequency of being bullied statistically significant at alpha = .05.

H) Since P value is significant we REJECT NULL HYPOTHESIS H0. The relationship between gender and frequency of being bullied statistically significant at alpha = .05..

An ice cream shop conducted a survey to see if there was a
relationship between gender and ice cream flavor preference.
Perform a Chi Square test of independence to determine whether
there is an association between gender and preference for ice cream
flavor.
Chocolate
Vanilla
Strawberry
Total
Men
100
120
60
280
Women
350
200
90
640
Hint: Instructions for performing this test in STATDISK can be
found in the Stat Disk User’s Manual under the heading Chi Square
Test...

Hypothetical data (observed frequencies, fo)
are provided below on relationship between gender and fear of
walking at night in their neighbor-hood (FEAR) based on GSS 2018
dat.
Afraid to Walk at Night
Men
Women
Row Total
Yes
77
175
252
No
270
259
529
Column Total
347
434
781
6. Calculate the expected frequencies (fe) –
that is, the frequencies we would expect to observe if there were
no relationship between sex and marital satisfaction (8 pts).
Afraid...

We seek to determine whether or not there is a relationship
between gender and preference for ice cream
flavor. Test at the at the α=.05 level. My data come from a
hypothetical survey of 920 people that asked for their
preference of 1 of the above 3 ice cream flavors. Here are the
data:
Flavor
Gender Chocolate Vanilla Strawberry Total
Men 110 110 70 290
Women 340 210 80 630
Total 450 320 150 920
a. State the Null and...

The California Department of Labor surveyed the relationship
between gender and the occupation. The table below shows the number
of female and male workers in each occupational category.
Occupation
Females
Males
Business
1300
1100
IT
600
1400
Legal service
2100
900
Manufacturing
750
850
Hospitality
600
900
Farming
650
850
Total
6000
6000
a) Develop a
joint probability table.
b) Given
that a worker is a male, what is the probability that he works in
hospitality?
c) Given
that a...

We seek to determine whether or not there is a
relationship between gender and preference for ice cream flavor. My
data come from a hypothetical survey of 920 people that asked for
their preference of 1 of the above
3 ice cream flavors. Here are the
data:
Flavor
Chocolate
Vanilla
Strawberry
Total
Gender
Men
100
120
60
280
Women
350
200
90
640
Total
450
320
150
920
a. State the Null and Alternative
hypotheses.
b. Assuming the Null Hypothesis...

A chi-square test for independence is being used to evaluate the
relationship between two variables. If the test has df = 3, what
can you conclude about the two variables?
One variable consists of 2 categories and the other consists of
3 categories
One variable consists of 2 categories and the other consists of
4 categories
Both variables consists of 2 categories
Both variables consists of 3 categories

Yes
Maybe
No
Male
18
2
34
Female
8
6
42
1, Write an appropriate null hypothesis for this analysis.
2. What is the value of the chi-square statistic?
3. What are the reported degrees of freedom?
4. What is the reported level of significance?
5. Based on the results of the chi-square test of independence
is there a statistically significant relationship between gender
and attitude toward cooperative learning?
6. What percent of male favor compulsory cooperative learning in
schools?...

A study was done to investigate whether a relationship existed
between HPV (human papillomavirus) status and HIV infection status.
HPV status and HIV infection status were obtained for 97 women.
Table of hpv by hiv
hpv
hiv
Frequency
Expected
Row Pct
Seropositive/Symptomatic
Seropositive/Asymptomatic
Seronegative
Total
Positive
23
12.928
60.53
5
7.4433
13.16
10
17.629
26.32
38
Negative
10
20.072
16.95
14
11.557
23.73
35
27.371
59.32
59
Total
33
19
45
97
Statistic
DF
Value
Prob
Chi-Square
2
19.6478
<.0001...

Question 3) A convenience store chain wants to determine the
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Association Between Hair and Eye Color: The
following table shows the relationship between hair color and eye
color for 6800 German men (adapted from O. Ammon (1899) as reported
by Goodman and Kruskal (1954) Journal of the American
Statistical Association, 49, 732-764.)
Hair Color
Eye color
Brown
Black
Fair
Red
Brown
438
288
115
16
Grey or Green
1387
746
946
53
Blue
807
189
1768
47
Using hand calculations, use a chi-square test to test the null
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