While conducting a goodness-of-fit test if the observed and expected values are close, you would expect which of the following:
A) Small $\chi ^ { 2 }$ value, large $P$-value
B) Small $\chi ^ { 2 }$ value, small $P$-value
C) Large $\chi ^ { 2 }$ value, large $P$-value
D) Large $\chi ^ { 2 }$ value, small $P$-value

Question

While conducting a goodness-of-fit test if the observed and expected values are close, you would expect which of the following: 
A) Small $\chi ^ { 2 }$ value, large $P$-value
B) Small $\chi ^ { 2 }$ value, small $P$-value
C) Large $\chi ^ { 2 }$ value, large $P$-value
D) Large $\chi ^ { 2 }$ value, small $P$-value

Quizplus · Accepted Answer

When the observed and expected values are close, the chi-square value will be small, indicating a good fit to the expected distribution. This will result in a large P-value, indicating that the observed data is not significantly different from the expected data.

While Conducting a Goodness-Of-Fit Test If the Observed and Expected χ2\chi ^ { 2 }χ2

While Conducting a Goodness-Of-Fit Test If the Observed and Expected $\chi ^ { 2 }$