A study is conducted in a large high school to determine if the proportion of students who plan to come to the upcoming football game differs across the grades. A random sample of 50 ninth graders, 50 tenth graders, 50 eleventh graders, and 50 twelfth graders was selected. The responses are displayed in the table.    The principal would like to know if these data provide convincing evidence that the distribution of responses differs across the grades in the population of all students in her school. The random and 10% conditions are met, and this table of expected counts shows that all expected counts are at least 5.   What is the value of the chi-square test statistic for this test? χ‑2 = 0.49 χ‑2 = 0.70 χ‑2 = 0.84 χ‑2 = 200

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter8: Sequences, Series, And Probability
Section8.CT: Chapter Test
Problem 9CT: Find three arithmetic means between 4 and 24.
icon
Related questions
Question

A study is conducted in a large high school to determine if the proportion of students who plan to come to the upcoming football game differs across the grades. A random sample of 50 ninth graders, 50 tenth graders, 50 eleventh graders, and 50 twelfth graders was selected. The responses are displayed in the table.

  

The principal would like to know if these data provide convincing evidence that the distribution of responses differs across the grades in the population of all students in her school. The random and 10% conditions are met, and this table of expected counts shows that all expected counts are at least 5.

 

What is the value of the chi-square test statistic for this test?

χ‑2 = 0.49
χ‑2 = 0.70
χ‑2 = 0.84
χ‑2 = 200
9th
10th
11th
12th
Yes
24
28
26
27
No
26
22
24
23
Transcribed Image Text:9th 10th 11th 12th Yes 24 28 26 27 No 26 22 24 23
9th
10th
11th
12th
Yes
26.25
26.25
26.25
26.25
No
23.75
23.75
23.75
23.75
Transcribed Image Text:9th 10th 11th 12th Yes 26.25 26.25 26.25 26.25 No 23.75 23.75 23.75 23.75
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps with 2 images

Blurred answer
Recommended textbooks for you
College Algebra (MindTap Course List)
College Algebra (MindTap Course List)
Algebra
ISBN:
9781305652231
Author:
R. David Gustafson, Jeff Hughes
Publisher:
Cengage Learning
Mathematics For Machine Technology
Mathematics For Machine Technology
Advanced Math
ISBN:
9781337798310
Author:
Peterson, John.
Publisher:
Cengage Learning,
College Algebra
College Algebra
Algebra
ISBN:
9781938168383
Author:
Jay Abramson
Publisher:
OpenStax
PREALGEBRA
PREALGEBRA
Algebra
ISBN:
9781938168994
Author:
OpenStax
Publisher:
OpenStax
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
Glencoe Algebra 1, Student Edition, 9780079039897…
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill