The data in the table below summarizes challenges by tennis players at the first
ID: 3071018 • Letter: T
Question
The data in the table below summarizes challenges by tennis players at the first US open that used the Hawk-Eye electronic system for displaying an instant replay to determine whether a ball was in or out.
Use at least three decimal places in your answers below.
(a) What proportion of the challenges were won?
(b) What proportion of the challenges were from men?
(c) What proportion of the men won their challenges?
(d) What proportion of the time was a challenge one that was won by a man?
(e) Are winning and being a man independent?
Yes/No
(f) Explain why or why not. Select all that apply. (Hint: exactly two of the answers below are correct.)
The proportion of times there was a challenge won by a man is not the same as the proportion of times there was a challenge lost by a woman.
The proportion of time there was a challenge won by a man is not equal to the proportion of challenges won times the proportion of challenges from men.
The proportion of men who won their challenges is not the same as the proportion of competitors who won.
The proportion of men is not the same as the proportion of women.
The proportion of times there was a challenge won is not the same as the proportion of times there was a challenge lost.
Won the challenge Gender Yes No Total Male 207 288 495 Female 126 244 370 Total 333 532 865Explanation / Answer
a) P(won) = 333/865
= 0.385
b) P(men) = 495/865
= 0.572
c) P(won | men) = 207/495
= 0.418
d) P(man | won the challege) = 207/333
= 0.622
e) No
f) The proportion of time there was a challenge won by a man is not equal to the proportion of challenges won times the proportion of challenges from men
The proportion of men who won their challenges is not the same as the proportion of competitors who won
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