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. Grade Level 9th 10th 11th 12th Yes 24 28 26 27 Attending Game? No 26 22 24 23 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. Is the Large Counts condition met? O Yes, the smallest expected count is 23.75, so all expected counts are at least 5. O Yes, the smallest expected count is 26.25, so all expected counts are at least 5. O No, the smallest expected count is 0.19, so the expected counts are not all at least 5. O No, the smallest expected count is 3.06, so the expected counts are not all at least 5.

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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.
Grade Level
9th
10th
11th
12th
Yes
24
28
26
27
Attending Game?
No
26
22
24
23
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. Is the
Large Counts condition met?
O Yes, the smallest expected count is 23.75, so all expected counts are at least 5.
O Yes, the smallest expected count is 26.25, so all expected counts are at least 5.
O No, the smallest expected count is 0.19, so the expected counts are not all at least 5.
O No, the smallest expected count is 3.06, so the expected counts are not all at least 5.
Transcribed Image Text: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. Grade Level 9th 10th 11th 12th Yes 24 28 26 27 Attending Game? No 26 22 24 23 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. Is the Large Counts condition met? O Yes, the smallest expected count is 23.75, so all expected counts are at least 5. O Yes, the smallest expected count is 26.25, so all expected counts are at least 5. O No, the smallest expected count is 0.19, so the expected counts are not all at least 5. O No, the smallest expected count is 3.06, so the expected counts are not all at least 5.
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