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..