A research team is investigating the claim that a new sports performance beverage (GatorX) will increase the total time running during match play to at or above 70% of playing time (walking <30% of the time). Based on internal research, the performance company claims that the supplement improves running and sprinting times above the 70% threshold 75% of the time. In this case, on a team of 17 players, that would equate to 13 out of 17 players.   Because of the larger variability in experimental nutrition interventions, the probability of not obtaining the ‘expected’ results (or p-value) is .10 or 90%.  Calculate, a Chi-square test statistic, p-value, and critical value Based on the following outcomes, does the nutritional claim hold weight? Is the null hypothesis that states there will not be a performance effect true or not true? What are some of the limitations with this study?   Match Play Data w/ GatorX     % of time Running Athlete 1 65 Athlete 2 71 Athlete 3 72 Athlete 4 71 Athlete 5 78 Athlete 6 74 Athlete 7 67 Athlete 8 73 Athlete 9 68 Athlete 10 73 Athlete 11 72 Athlete 12 66 Athlete 13 75 Athlete 14 65 Athlete 15 71 Athlete 16 68 Athlete 17 68

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 26PPS
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 A research team is investigating the claim that a new sports performance beverage (GatorX) will increase the total time running during match play to at or above 70% of playing time (walking <30% of the time). Based on internal research, the performance company claims that the supplement improves running and sprinting times above the 70% threshold 75% of the time. In this case, on a team of 17 players, that would equate to 13 out of 17 players.  

Because of the larger variability in experimental nutrition interventions, the probability of not obtaining the ‘expected’ results (or p-value) is .10 or 90%. 

  1. Calculate, a Chi-square test statistic, p-value, and critical value
  2. Based on the following outcomes, does the nutritional claim hold weight? Is the null hypothesis that states there will not be a performance effect true or not true?
  3. What are some of the limitations with this study?

 

Match Play Data w/ GatorX

 

 

% of time Running

Athlete 1

65

Athlete 2

71

Athlete 3

72

Athlete 4

71

Athlete 5

78

Athlete 6

74

Athlete 7

67

Athlete 8

73

Athlete 9

68

Athlete 10

73

Athlete 11

72

Athlete 12

66

Athlete 13

75

Athlete 14

65

Athlete 15

71

Athlete 16

68

Athlete 17

68

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