s Question: 5 pts 23 of 40 (5 complete) hen an instant replay system for tennis
ID: 3366911 • Letter: S
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s Question: 5 pts 23 of 40 (5 complete) hen an instant replay system for tennis was introduced for a toumament, men challenged 479 referee call, and 192 of them were successuly upheld by he system women challenged 343 referee calls, and 105 ofthem were upheld ifference between the success rates for challenges made by men and women. What does the con men and women tennis players? by the system. Construct 99% confidence interval estimate of the erval suggest about the success rates of the The 99% confidence interval is[]Explanation / Answer
p1 = 192/479 = 0.4
p2 = 105/343 = 0.306
The pooled proportion(P) = (p1 * n1 + p2 * n2)/(n1 + n2)
= (0.4 * 479 + 0.306 * 343)/(479 + 343)
= 0.36
SE = sqrt(P(1 - P) * (1/n1 + 1/n2))
= sqrt(0.36 * (1 - 0.36) * (1/479 + 1/343))
= 0.034
At 99% confidence interval the critical value is z0.005 = 2.58
The 99% confidence interval is
p1 - p2 +/- z0.005 * SE
= (0.4 - 0.306) +/- 2.58 * 0.034
= 0.094 +/- 0.0877
= 0.0063, 0.1817
As the confidence interval does not cointain 0, there is a significant difference between the success rates of the men and women tennis players.
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