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 and p -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?

Option B. 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

Step-by-step explanation:

Since p value is probability of getting the sample statistic as or more extreme given null hypothesis is true

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MrRoyal MrRoyal · Answer 2 · 2022-01-24T14:10:47+01:00

The interpretation of the p-value in the context of the test is: (b) 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

The given parameters are:

[tex]X^2 = 19.02[/tex] --- the chi square

[tex]p =0.025[/tex] --- the p-value

Rewrite the p-value as percentage:

[tex]p = 2.5\%[/tex]

The p-value represents the probability or the chances of an event.

Hence, the interpretation of the p-value is that:

There is a 2.5% chance of finding a test statistic greater than or equal to 19.02