The P value is a quantitative expression of the probability that the results of another experiment of the same size and structure will deviate as much or more from expected results by chance.The greater the difference between observed and expected results of an experiment,
A)the lower the χ2 value and the lower the P value.
B)the greater the χ2 value and the greater the P value.
C)the greater the χ2 value and the lower the P value.
D)the lower the χ2 value and the greater the P value.
E)the greater the χ2 value;but the P value is unaffected.

Question

Quizplus · Accepted Answer

The χ2 value increases as the difference between observed and expected results increases. This is because the χ2 value is calculated as the sum of the squared differences between observed and expected values. The P value, on the other hand, decreases as the difference between observed and expected results increases. This is because the P value is a measure of the probability of getting the observed results if the null hypothesis (i.e. no difference) is true, and as the difference becomes more extreme, it becomes less likely that the null hypothesis is true. Therefore, the correct choice is C, which states that the greater the difference between observed and expected results, the greater the χ2 value and the lower the P value.

The P Value Is a Quantitative Expression of the Probability