Use the table to answer questions 12 to 14. The two-way table shows the type of

Question

Use the table to answer questions 12 to 14. The two-way table shows the type of chess that randomly selected high-school chess club participants play Plays International Chess Yes No Total Yes 40 2 42 ENo 0 Total 43 7 50 Find the relative frequencies among the rows, and interpret their meanings. Round your answer to the nearest hundredth where necessary 12. Find the relative frequencies within each column, and interpret their meanings. Round your answer to the nearest hundredth where necessary 13. 14. Describe the association between a high-school chess club participant who plays Chinese Chess and one who plays International Chess

Explanation / Answer

12)

The first row indicates the person who plays Chinese chess plays international chess or not

Relative frequency of person who plays chinese chess plays international chess = 40/(40+2) = 0.95

Relative frequency of person who plays chinese chess and doesn't play international chess = 2/(40+2) = 0.05

The second row indicates the person who doesn't plays Chinese chess plays international chess or not

Relative frequency of person who doesn't plays chinese chess plays international chess = 3/(3+5) = 0.375

Relative frequency of person who doesn't  plays chinese chess and doesn't play international chess = 5/(3+5) = 0.625

13)

The first column indicates the person who plays international chess plays Chinese chess or not

Relative frequency of person who plays international chess plays Chinese chess = 40/(40+3) = 0.93

Relative frequency of person who plays international chess and doesn't play chinese chess = 3/(40+3) = 0.07

The second column indicates the person who doesn't plays international chess plays Chinese chess  or not

Relative frequency of person who doesn't plays international chess plays Chinese chess = 2/(2+5) = 0.28

Relative frequency of person who doesn't plays international chess  and doesn't play chinese chess = 5/(2+5) = 0.72

14)

The person who plays both chinese chess and international chess is having 40 as a number, hence relative frequency = 40/50 = 0.80

There is a positive association

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