As a counselor in the field of addiction, you are interested in researching if o
ID: 3126432 • Letter: A
Question
As a counselor in the field of addiction, you are interested in researching if online gambling is becoming more prevalent. You decide to conduct research to compare online gambling to gambling in public places such as casinos. You hypothesize that online gambling is more prevalent among those who are under the age 30, leading to more online gambling addictions in those individuals who are under 30. To test your hypothesis, you use a random sample of 40 individuals who report attending counseling because of a gambling addiction. The ages of the individuals and initial mode of gambling was recorded. The ages for those who gamble online and in public are shown in the table. On the basis of the data provided, can you conclude that online gambling is more prevalent among individuals who are under the age of 30 at a level of significance of 0.05? Why or why not? (Show all seven steps of the appropriate hypothesis test.)
Explanation / Answer
As a counselor in the field of addiction, you are interested in researching if online gambling is becoming more prevalent. You decide to conduct research to compare online gambling to gambling in public places such as casinos. You hypothesize that online gambling is more prevalent among those who are under the age 30, leading to more online gambling addictions in those individuals who are under 30. To test your hypothesis, you use a random sample of 40 individuals who report attending counseling because of a gambling addiction. The ages of the individuals and initial mode of gambling was recorded. The ages for those who gamble online and in public are shown in the table. On the basis of the data provided, can you conclude that online gambling is more prevalent among individuals who are under the age of 30 at a level of significance of 0.05? Why or why not? (Show all seven steps of the appropriate hypothesis test.)
Online Gambling
Public Gambling
21
36
36
46
47
29
62
59
45
33
42
54
36
42
63
49
39
45
44
50
21
42
32
50
21
23
20
34
47
35
61
23
28
18
20
62
27
62
18
40
60
answer
sample size,n
sample mean,x
standard deviation,s
alpha,a=0.05
n1= 25 x1= 38.88 s1= 16.0658
n2= 16 x2= 40.625 s2= 10.7261
H0: u1 = u2
H1: u1 < u2
test statistic, t = (x1-x2) / sqrt((s1^2/n1)+(s2^2/n2))
t = -0.417
critical value = -t(a,n1+n2-2) = -t(0.05,39)
critical value = -1.684
since t > critical value, hence H0 can not be rejected
so we can not conclude that that online gambling is more prevalent among individuals who are under the age of 30
Online Gambling
Public Gambling
21
36
36
46
47
29
62
59
45
33
42
54
36
42
63
49
39
45
44
50
21
42
32
50
21
23
20
34
47
35
61
23
28
18
20
62
27
62
18
40
60
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