A survey is conducted to determine if there is a difference in the proportion of students, parents, and teachers who volunteer at least once a month. To investigate, a random sample of 45 students, 25 parents, and 12 teachers was selected from a large high school. The data are displayed in the tables. Observed counts: Expected counts: The researcher would like to test thes
A survey is conducted to determine if there is a difference in the proportion of students, parents, and teachers who volunteer at least once a month. To investigate, a random sample of 45 students, 25 parents, and 12 teachers was selected from a large high school. The data are displayed in the tables.
Observed counts:
Expected counts:
The researcher would like to test these hypotheses:
H0: There is no difference in the distribution of responses among these three populations.
Ha: There is a difference in the distribution of responses among these three populations.
The conditions for inference are met. What is the value of the chi-square test statistic and what are the degrees of freedom for this test?
χ‑2 = 0.19, df = 2
χ‑2 = 0.19, df = 5
χ‑2 = 0.44, df = 2
χ‑2 = 0.44, df = 5
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