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 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.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 10CYU
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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 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. What is the appropriate inference procedure?
O chi-square test for goodness of fit because the data come from one random sample
chi-square test for homogeneity because the data come from independent random samples
chi-square test for association/independence because the data come from one random sample
chi-square test for association/independence because the data come from independent random samples
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 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. What is the appropriate inference procedure? O chi-square test for goodness of fit because the data come from one random sample chi-square test for homogeneity because the data come from independent random samples chi-square test for association/independence because the data come from one random sample chi-square test for association/independence because the data come from independent random samples
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