STATISTICAL TECHNIQUES AND TOOLS
CHI SQUARE
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Question
[CLICK ON ANY CHOICE TO KNOW THE RIGHT ANSWER]
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A chi-square 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 chi-square test statistic andp-value of the test were 19.02 and 0.025, respectively. Which of the following is the correct interpretation of the p-value in the context of the test?
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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.
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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.
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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.
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There is a 2.5 percent chance that the absentee rate for each grade level at the four schools is the same.
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There is a 2.5 percent chance that the absentee rate for each grade level at the four schools is different.
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Explanation:
Detailed explanation-1: -A chi-square 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 explanation-2: -The Chi-Square 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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