Recently, management at Oak Tree Golf Course received a few complaints about the condition of the greens. Several players complained that the greens are too fast. Rather than react to the comments of just a few, the Golf Association conducted a survey of male and female golfers. The survey results are summarized here.
Excel File: data02-31.xlsx
| Male Golfers | Female Golfers | |||||
| Green Condition | Green Condition | |||||
| Handicap | Too Fast | Fine | Handicap | Too Fast | Fine | |
| Under 15 | 10 | 40 | Under 15 | 1 | 9 | |
| 15 or more | 25 | 25 | 15 or more | 39 | 51 | |
a. Complete the crosstabulation shown below.
| Green Condition | |||
| Gender | Too Fast | Fine | Total |
| Male | |||
| Female | |||
| Total | |||
Which group shows the highest percentage saying that the greens are too fast?
– Select your answer -Males, at 55%Females, at 25%Females, at 40%Both groups have identical responsesItem 10
b. Refer to the initial crosstabulations. For those players with low handicaps (better players), which group (male or female) shows the highest percentage saying the greens are too fast?
For the low handicappers, the – Select your answer -menwomenItem 11 have a higher percentage who think the greens are too fast.
c. Refer to the initial crosstabulations. For those players with higher handicaps, which group (male or female) shows the highest percentage saying the greens are too fast?
For the high handicappers, the – Select your answer -menwomenItem 12 have a higher percentage who think the greens are too fast.
d. At each handicap level, how does the percentage of women who think the greens are too fast compare to the percentage of men who feel the same?
– Select your answer -It is smaller than that of the men.It is larger than that of the men.It is identical to that of the men.Item 13
When the crosstabulations are aggregated across handicap level, do you still conclude the same thing when comparing the percentage of women who complain that the greens are too fast with the percentage of the men who feel the same?
– Select your answer -YesNoItem 14
Note: This exercise is an example of Simpson’s Paradox.