STATISTICAL TECHNIQUES AND TOOLS
CHI SQUARE
Question
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A chisquare test for homogeneity was conducted to investigate whether the four high schools in a school district have different absentee rates for each of four grade levels. The chisquare test statistic andpvalue of the test were 19.02 and 0.025, respectively. Which of the following is the correct interpretation of the pvalue in the context of the test?

Assuming that each high school has the same absentee rate for each grade level, there is a 2.5 percent chance of finding a test statistic 19.02 or smaller.


Assuming that each high school has the same absentee rate for each grade level, there is a 2.5 percent chance of finding a test statistic 19.02 or larger.


Assuming that each high school has a different absentee rate for each grade level, there is a 2.5 percent chance of finding a test statistic 19.02 or larger.


There is a 2.5 percent chance that the absentee rate for each grade level at the four schools is the same.


There is a 2.5 percent chance that the absentee rate for each grade level at the four schools is different.

Explanation:
Detailed explanation1: A chisquare test is a statistical test used to compare observed results with expected results. The purpose of this test is to determine if a difference between observed data and expected data is due to chance, or if it is due to a relationship between the variables you are studying.
Detailed explanation2: The ChiSquare Test of Independence determines whether there is an association between categorical variables (i.e., whether the variables are independent or related).
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