Question

Assume that a Chi-square test was conducted to test the goodness of fit to a 9:3:3:1 ratio and a Chi-square value of 7.6 was obtained. Should the hypothesis be accepted or rejected? Why? (df = n – 1

A) should be accepted, p value is greater than 0.05

B) should be accepted, p value is smaller than 0.05

C) should be rejected, p value is greater than 0.05

D) should be rejected, p value is smaller than 0.05

Answer 1

Option A

By chi square test table,

Degrees of freedom = 4 - 1 = 3

At degrees of freedom 3, chi square value of 7.6 is lying between the p value of 0.05 to 0.1. It is between 5 to 10%. If the p value is more than 0.05, than we accept null hypothesis.

Chi square test is goodness of fit test. It is used for determining whether the differences between the observed and expected data are purely due to chance or if they are statically significant. If they are usually due to chance, then the probability value is more than 5% and null hypothesis is expected and if it is statistically significant, then the probability value is less than 5% and the null hypothesis is rejected.

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