Does Technology Influence Gambling As a counselor in the fie

Does Technology Influence Gambling?

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.)

PLEASE SHOW YOUR WORK

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

Solution

Set Up Hypothesis
Null, online gambling is more prevalent among individuals, Ho: u1 > u2
Alternate, online gambling is less prevalent among individuals- H1: u1 < u2
Test Statistic
X(Mean)=38.88
Standard Deviation(s.d1)=16.066 ; Number(n1)=25
Y(Mean)=40.625
Standard Deviation(s.d2)=10.726; Number(n2)=16
we use Test Statistic (t) = (X-Y)/Sqrt(s.d1^2/n1)+(s.d2^2/n2)
to =38.88-40.625/Sqrt((258.11636/25)+(115.04708/16))
to =-0.42
| to | =0.42
Critical Value
The Value of |t | with Min (n1-1, n2-1) i.e 15 d.f is 1.753
We got |to| = 0.41695 & | t | = 1.753
Make Decision
Hence Value of |to | < | t | and Here we Do not Reject Ho
P-Value:Left Tail - Ha : ( P < -0.417 ) = 0.34131
Hence Value of P0.05 < 0.34131,Here We Do not Reject Ho