A random sample of 125 basketball players was asked if they wore high top or low top shoes while playing. The results are shown in the table.

High top shoes Low top shoes

Male 40 10

Female 60 15

What type of association does the table show between type of shoes worn and gender?

a moderate association

a strong association

no association

a weak association

The male basketball players prefer hightop shoes.

The female basketball players prefer hightop shoes.

Basketball players’ gender does not seem to affect shoe preference for the players in the survey.

The correct answer to all of these are yes!

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palebadgworthy palebadgworthy · Answer 2 · 2019-01-18T13:30:12-05:00

The correct answer is: "no association".

The data does not provide evidence of any association.

In total there are 50 men and 75 women in the sample. Exactly the same proportion of men and women show preference towards the high top shoes:

Proportion of men who show preference for high top shoes: (nº of men that prefer high top shoes/ total nº of men)100= (40/50)100=80%
Proportion of women who show preference for high top shoes: (nº of women that prefer hight top shoes/ total nº of women)100= (60/75)100=80%

Pertaining to one or the other gender group does not make it more or less likely that the person prefers a specific type of shoes. Therefore, there is no association.