A study was performed to determine if there is a relationship between gender and
ID: 3306541 • Letter: A
Question
A study was performed to determine if there is a relationship between gender and whether or not people exercise. 20 subjects were selected at random, their gender (M = Male, F = Female) was recorded and whether or not the they exercised (Y = Yes, N = No). The results from the measurements are summarised below:
Subject
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
Gender
M
F
M
F
M
M
M
F
F
M
F
M
M
F
F
F
M
M
F
M
Exercise
Y
N
N
Y
N
Y
N
Y
Y
Y
N
N
Y
Y
N
Y
N
N
Y
N
1. What type of study is outlined here? Justify your answer.
2. What are the data types and scale of measurement of each measurement?
3. Summarise the data in a contingency table.
4. If a subject is selected at random, what is the probability that the subject will be male?
5. If a subject is selected at random, what is the probability that the subject will be female and exercise?
6. Use a 0.10 significance level and the following points to test the claim that there is no association between gender and whether or not people exercise.
(a) State the null and alternative hypotheses in context.
(b) Calculate the test statistic.
(c) Identify the rejection region(s).
(d) Clearly state your conclusions (in context).
Subject
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
Gender
M
F
M
F
M
M
M
F
F
M
F
M
M
F
F
F
M
M
F
M
Exercise
Y
N
N
Y
N
Y
N
Y
Y
Y
N
N
Y
Y
N
Y
N
N
Y
N
Explanation / Answer
1) here we are studying if there is a relationship between a gender of a random person and doing excercise.
2) data type is categorical and level of measurement is nominal
3)
4) probability that the subject will be male =11/20
5)probability that the subject will be female and exercise =6/20=3/10=0.3
6)null hypothesis : gender and doing excercise are independent
alternate hypothesis: gender and doing excercise are dependent
b) applying chi sqaure test of independece:
test statistic X2=1.818
c) for 1 degree of freedom and 0.1 level rejection region X2 >2.706
d) as test stat is inside critical region we can not reject null hypothesis.
we can not reject that there is no association between gender and whether or not people exercise.
exercise Yes No total gender male 4 7 11 female 6 3 9 total 10 10 20Related Questions
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