5. In 2006, tenis introduced a challenge system in which a player can challenge a decision as towhether a tennis ball was correctly called 'in’ or ´ouť by an official. In the 2015 U.S. Open TennisChampionship there were a total of 850 player challenges between both the Men's and Women'sSingles matches. These challenges were determined either to be correct (meaning the player wascorrect and the umpire was incorrect) or incorrect (meaning the player was incorrect and the umpirewas correct). These 850 challenges are summarized in the table below.Player ChallengeMen'sWomen'sCorrect15372Incorrect394231(a) Calculate the proportion of all challenges that were determined to be correct.(b) Using these data as a representative sample of all player challenges in professional tennis, a 95%confidence interval for the difference in the proportion of men's and women's challenges that aredetermined to be correct (men – women) was found to be 0.04 ± 0.06. All conditions forinference were met. Does this confidence interval provide convincing statistical evidence thatthere is a difference in the effectiveness with which men and women use the challenge system?Justify your answer.-8-A scientific study has demonstrated that the best time for a player to use a challenge is when thetennis ball was called 'out' but the player believes that the ball was actually ʻin’ because when objectstravel faster than the human eye the umpire is left to fill the gap with their own perception. The tablebelow shows the Women's Singles challenges based on if the tennis ball was called ´out’ or 'in.Umpire CalledBall OutUmpire CalledBall InPlayer ChallengeCorrect6111Incorrect111120(c) Calculate the proportion of correct player challenges when the umpire called the ball 'out' andthe proportion of correct player challenges when the umpire called the ball 'in.’Out proportion:In proportion:(d) Using these data as a representative sample of all player challenges in professional tennis, a 95%confidence interval for the difference in the proportion of correct challenges when the umpirecalls the ball 'out’ and when the umpire calls the ball 'in’ (out - in) was found to be 0.27 ± 0.09.All conditions for inference were met. Does this confidence interval provide statistical evidenceto support the scientific findings detailed above? Justify your answer.

Given Information: Number of people participated in challenge,n = 850 Number of people corrected the…

5. In 2006, tennis introduced a challenge system in which a player can challenge a decision as to whether a tennis ball was correctly called 'in' or ʻout’ by an official. In the 2015 U.S. Open Tennis Championship there were a total of 850 player challenges between both the Men's and Women's Singles matches. These challenges were determined either to be correct (meaning the player was correct and the umpire was incorrect) or incorrect (meaning the player was incorrect and the umpire was correct). These 850 challenges are summarized in the table below. Player Challenge Men's Women's Correct 153 72 Incorrect 394 231 (a) Calculate the proportion of all challenges that were determined to be correct. (b) Using these data as a representative sample of all player challenges in professional tennis, a 95% confidence interval for the difference in the proportion of men's and women’s challenges that are determined to be correct (men – women) was found to be 0.04 ± 0.06. All conditions for inference were met. Does this confidence interval provide convincing statistical evidence that there is a difference in the effectiveness with which men and women use the challenge system? Justify your answer.

5. In 2006, tennis introduced a challenge system in which a player can challenge a decision as to whether a tennis ball was correctly called 'in' or ʻout’ by an official. In the 2015 U.S. Open Tennis Championship there were a total of 850 player challenges between both the Men's and Women's Singles matches. These challenges were determined either to be correct (meaning the player was correct and the umpire was incorrect) or incorrect (meaning the player was incorrect and the umpire was correct). These 850 challenges are summarized in the table below. Player Challenge Men's Women's Correct 153 72 Incorrect 394 231 (a) Calculate the proportion of all challenges that were determined to be correct. (b) Using these data as a representative sample of all player challenges in professional tennis, a 95% confidence interval for the difference in the proportion of men's and women’s challenges that are determined to be correct (men – women) was found to be 0.04 ± 0.06. All conditions for inference were met. Does this confidence interval provide convincing statistical evidence that there is a difference in the effectiveness with which men and women use the challenge system? Justify your answer.

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Concept explainers

Estimation

A new framework of data analysis where the new statistical methods are used for interpreting the results and analyzing the data is known as estimation in statistics.

Question

5. In 2006, tenis introduced a challenge system in which a player can challenge a decision as to
whether a tennis ball was correctly called 'in’ or ´ouť by an official. In the 2015 U.S. Open Tennis
Championship there were a total of 850 player challenges between both the Men's and Women's
Singles matches. These challenges were determined either to be correct (meaning the player was
correct and the umpire was incorrect) or incorrect (meaning the player was incorrect and the umpire
was correct). These 850 challenges are summarized in the table below.
Player Challenge
Men's
Women's
Correct
153
72
Incorrect
394
231
(a) Calculate the proportion of all challenges that were determined to be correct.
(b) Using these data as a representative sample of all player challenges in professional tennis, a 95%
confidence interval for the difference in the proportion of men's and women's challenges that are
determined to be correct (men – women) was found to be 0.04 ± 0.06. All conditions for
inference were met. Does this confidence interval provide convincing statistical evidence that
there is a difference in the effectiveness with which men and women use the challenge system?
Justify your answer.
-8-
A scientific study has demonstrated that the best time for a player to use a challenge is when the
tennis ball was called 'out' but the player believes that the ball was actually ʻin’ because when objects
travel faster than the human eye the umpire is left to fill the gap with their own perception. The table
below shows the Women's Singles challenges based on if the tennis ball was called ´out’ or 'in.
Umpire Called
Ball Out
Umpire Called
Ball In
Player Challenge
Correct
61
11
Incorrect
111
120
(c) Calculate the proportion of correct player challenges when the umpire called the ball 'out' and
the proportion of correct player challenges when the umpire called the ball 'in.’
Out proportion:
In proportion:
(d) Using these data as a representative sample of all player challenges in professional tennis, a 95%
confidence interval for the difference in the proportion of correct challenges when the umpire
calls the ball 'out’ and when the umpire calls the ball 'in’ (out - in) was found to be 0.27 ± 0.09.
All conditions for inference were met. Does this confidence interval provide statistical evidence
to support the scientific findings detailed above? Justify your answer.

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