2. A bank wants to determine which age groups among its customers are using their on-line banking services. They select a simple random sample of customers from four age groups and ask each person if they do most of their banking on-line or at their local branch bank. Here are the results: Preferred banking method Branch bank On-line Total Age Group 31 - 45 (years) 46 - 60 Under 30 16 37 53 18 38 56 19 26 45 Over 60 22 8. 30 Total 75 109 184

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2. A bank wants to determine which age groups among its customers are using their on-line banking
services. They select a simple random sample of customers from four age groups and ask each person if
they do most of their banking on-line or at their local branch bank. Here are the results:
Preferred banking method
On-line
Branch bank
Total
Under 30
37
53
Age
Group 31 - 45
(years) 46 - 60
16
18
38
56
19
26
45
Over 60
22
8.
30
Total
75
109
184
(a) In the table below, provide the appropriate conditional distributions for comparing the banking
preferences of the four age groups, based on the data above.
Preferred banking method
Branch bank
On-line
Age
Group 31 - 45
(years)
Under 30
46 - 60
Over 60
(b) Perform the appropriate statistical test to determine if there is a difference in the banking
preferences of these four age groups.
Transcribed Image Text:2. A bank wants to determine which age groups among its customers are using their on-line banking services. They select a simple random sample of customers from four age groups and ask each person if they do most of their banking on-line or at their local branch bank. Here are the results: Preferred banking method On-line Branch bank Total Under 30 37 53 Age Group 31 - 45 (years) 46 - 60 16 18 38 56 19 26 45 Over 60 22 8. 30 Total 75 109 184 (a) In the table below, provide the appropriate conditional distributions for comparing the banking preferences of the four age groups, based on the data above. Preferred banking method Branch bank On-line Age Group 31 - 45 (years) Under 30 46 - 60 Over 60 (b) Perform the appropriate statistical test to determine if there is a difference in the banking preferences of these four age groups.
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