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

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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
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