Question

Using a p-value of 0.05 in a chi-square test means what?

a. Your null hypothesis has a 5% chance of being correct
b. The chi-square vale will befgreater than the critical value 95% of the time
c. You have a 95% chance of rejecting your null hypothesis
d. There is a 1 in 20 chance that a significant difference between your observed and expected values is due to random chance.

Answer 1

Using a p-value of 0.05 in a chi-square test means that we are conducting a test at a significance level of 0.05. If the calculated p-value is less than 0.05, we have sufficient evidence to reject the null hypothesis and conclude that there is a significant difference between the observed and expected values.

Step-by-step explanation:

When the p-value is very small, it means that the observed test statistic is very unlikely to happen if the null hypothesis is true.

This gives significant evidence to suggest that the null hypothesis is false, and to reject it in favor of the alternative hypothesis. In practice, to reject the null hypothesis we want the p-value to be smaller than 0.05 (5 percent) or sometimes even smaller than 0.01 (1 percent).

So, using a p-value of 0.05 in a chi-square test means that we are conducting a test at a significance level of 0.05. If the calculated p-value is less than 0.05, we have sufficient evidence to reject the null hypothesis and conclude that there is a significant difference between the observed and expected values.

The correct answer is c. You have a 95% chance of rejecting your null hypothesis.