Statistics Test #4

Resource summary

Question 1

Question
Since an instant replay system for tennis was introduced at a major tournament, men challenged 1746 referee calls with the result that 611 of the calls were overturned. Women challenged 950 referee calls, and 488 of the calls were overturned. 1a) The first sample is male tennis players who challenged ref calls and the second sample is female tennis players who challenged ref calls.
Answer
  • H0: P1= P2 H1: P1>P2
  • H0: P1=/=P2 H1: P1= P2
  • H0: P1= P2 H1: P1< P2
  • H0: P1_<_ P2 H1: P1=/= P2
  • H0: P1_>_ P2 H1: P1=/=P2
  • H0: P1=P2 H1: P1=/= P2

Question 2

Question
Since an instant replay system for tennis was introduced at a major tournament, men challenged 1746 referee calls with the result that 611 of the calls were overturned. Women challenged 950 referee calls, and 488 of the calls were overturned. 1a) Find the Z-score (Round to two decimal places as needed)
Answer
  • Z=-8.27
  • Z=-8.26

Question 3

Question
Since an instant replay system for tennis was introduced at a major tournament, men challenged 1746 referee calls with the result that 611 of the calls were overturned. Women challenged 950 referee calls, and 488 of the calls were overturned. 1a) Find the P-Value (Round to three decimal places as needed)
Answer
  • 0.000
  • 1.411

Question 4

Question
Since an instant replay system for tennis was introduced at a major tournament, men challenged 1746 referee calls with the result that 611 of the calls were overturned. Women challenged 950 referee calls, and 488 of the calls were overturned. 1a) What is the conclusion based on the hypothesis?
Answer
  • The p-value is greater than the significance level of 0.05, so fail to reject H0. There is not sufficient enough evidence to warrant rejection of the claim that women and men have equal success in challenging calls.
  • The p-value is less than the significance level of 0.05, so reject H0. There is sufficient enough evidence to warrant rejection of the claim that women and men have equal success in challenging calls.
  • The p-value is greater than the significance level of 0.05, so reject H0. There is not sufficient enough evidence to warrant rejection of the claim that women and men have equal success in challenging calls.
  • The p-value is less than the significance level of 0.05, so fail to reject H0. There is sufficient enough evidence to warrant rejection of the claim that women and men have equal success in challenging calls.

Question 5

Question
Since an instant replay system for tennis was introduced at a major tournament, men challenged 1746 referee calls with the result that 611 of the calls were overturned. Women challenged 950 referee calls, and 488 of the calls were overturned. 1b) Test the claim using a confidence interval with 95% confidence. (Round to three decimal places as needed.)
Answer
  • -.203<(P1-P2)<-.125
  • -2026<(P1-P2)<-.1249

Question 6

Question
Since an instant replay system for tennis was introduced at a major tournament, men challenged 1746 referee calls with the result that 611 of the calls were overturned. Women challenged 950 referee calls, and 488 of the calls were overturned. 1b) What conclusion can be based on the interval testing?
Answer
  • Because the confidence intervals do not include 0, there does appear to be a significant difference between the two proportions. There is sufficient enough evidence to warrant rejection of the claim that men and women may have equal success in challenging calls.
  • Because the confidence intervals include 0, there does not appear to be a significant difference between the two proportions. There is not sufficient enough evidence to warrant rejection of the claim that men and women may have equal success in challenging calls.
  • Because the confidence intervals do not include 0, there does not appear to be a significant difference between the two proportions. There is sufficient enough evidence to warrant rejection of the claim that men and women may have equal success in challenging calls.
  • Because the confidence intervals do not include 0, there does not appear to be a significant difference between the two proportions. There is not sufficient enough evidence to warrant rejection of the claim that men and women may have equal success in challenging calls.

Question 7

Question
Since an instant replay system for tennis was introduced at a major tournament, men challenged 1746 referee calls with the result that 611 of the calls were overturned. Women challenged 950 referee calls, and 488 of the calls were overturned. 1c) Based on the results, does it appear that men and women may have equal success in challenging calls?
Answer
  • The confidence interval suggests that there is no significant difference between the success of me and women in challenging calls.
  • The confidence interval suggests that there is a significant difference between the success of men and women when challenging calls. It is reasonable to speculate that women have more success in challenging calls.
  • The confidence interval suggests that there is a significant difference between the success of men and women when challenging calls. It is reasonable to speculate that men have more success in challenging calls.
  • There is not enough information to reach a conclusion
Show full summary Hide full summary

Similar

The SAT Math test essentials list
lizcortland
How to improve your SAT math score
Brad Hegarty
GCSE Maths: Pythagoras theorem
Landon Valencia
Edexcel GCSE Maths Specification - Algebra
Charlie Turner
Mathematics
Corey Lance
Graph Theory
Will Rickard
Projectiles
Alex Burden
MODE, MEDIAN, MEAN, AND RANGE
Elliot O'Leary
FREQUENCY TABLES: MODE, MEDIAN AND MEAN
Elliot O'Leary
HISTOGRAMS
Elliot O'Leary
CUMULATIVE FREQUENCY DIAGRAMS
Elliot O'Leary