A controversial issue in the sport of professional soccer is the use of instant replay for making difficult goal line decisions. Each person in a representative sample of 102 players, fans, coaches, and officials was asked his or her opinion about the use of instant replay for goa decisions. The data are summarized in the two-way frequency table below. Opinion Favor Use Oppose Use Players 22 Fans 18 6 Çoaches 15 26 Officials 3 10 In testing to see whether opinion with respect to the use of instant replay is independent of the category of the person interviewed, a chi-square test statistic of 27.99 and a p-value less than 0.001 were calculated. Which of the following statements is correct? The number of degrees of freedom for the test is 8-1= 7. в The chi-square test should not have been used because two of the counts in the table are less than 5. c) The null hypothesis states that there is an association between category and opinion about the use of instant replay, and the small pvalue suggests that the null hypothesis should be rejected. D) The small pvalue suggests that there is evidence of an association between category and opinion about the use of instant replay. The chi-square test shows that fans favor the use of instant replay

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
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Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 10CYU
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A controversial issue in the sport of professional soccer is the use of instant replay for making difficult goal line decisions. Each person in a representative sample of 102 players, fans, coaches, and officials was asked his or her opinion about the use of instant replay for goal-line decisions. The data are summarized in the two-way frequency table below.

In testing to see whether opinion with respect to the use of instant replay is independent of the category of the person interviewed, a chi-square test statistic of 27.99 and a p-value less than 0.001 were calculated. Which of the following statements is correct?

 
  • The number of degrees of freedom for the test is 8 - 1 = 7.

    A
  • The chi-square test should not have been used because two of the counts in the table are less than 5.

    B
  • The null hypothesis states that there is an association between category and opinion about the use of instant replay, and the small p-value suggests that the null hypothesis should be rejected.

    C
  • The small p-value suggests that there is evidence of an association between category and opinion about the use of instant replay.

    D
  • The chi-square test shows that fans favor the use of instant replay.

    E
A controversial issue in the sport of professional soccer is the use of instant replay for making difficult goal line decisions. Each person in a representative sample of 102 players, fans, coaches, and officials was asked his or her opinion about the use of instant replay for goal-line
decisions. The data are summarized in the two-way frequency table below.
Opinion
Favor Use
Oppose Use
Players
22
2
Fans
18
6.
Coaches
15
26
Officials
3
10
In testing to see whether opinion with respect to the use of instant replay is independent of the category of the person interviewed, a chi-square test statistic of 27.99 and a p-value less than 0.001 were calculated. Which of the following statements is correct?
A
The number of degrees of freedom for the test is 8 -1 = 7.
B
The chi-square test should not have been used because two of the counts in the table are less than 5.
The null hypothesis states that there is an association between category and opinion about the use of instant replay, and the small p-value suggests that the null hypothesis should be rejected.
The small p-value suggests that there is evidence of an association between category and opinion about the use of instant replay.
E
The chi-square test shows that fans favor the use of instant replay.
Category
Transcribed Image Text:A controversial issue in the sport of professional soccer is the use of instant replay for making difficult goal line decisions. Each person in a representative sample of 102 players, fans, coaches, and officials was asked his or her opinion about the use of instant replay for goal-line decisions. The data are summarized in the two-way frequency table below. Opinion Favor Use Oppose Use Players 22 2 Fans 18 6. Coaches 15 26 Officials 3 10 In testing to see whether opinion with respect to the use of instant replay is independent of the category of the person interviewed, a chi-square test statistic of 27.99 and a p-value less than 0.001 were calculated. Which of the following statements is correct? A The number of degrees of freedom for the test is 8 -1 = 7. B The chi-square test should not have been used because two of the counts in the table are less than 5. The null hypothesis states that there is an association between category and opinion about the use of instant replay, and the small p-value suggests that the null hypothesis should be rejected. The small p-value suggests that there is evidence of an association between category and opinion about the use of instant replay. E The chi-square test shows that fans favor the use of instant replay. Category
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