Question

For df=1, the critical values for Pearson's chi-square are 3.84 (p=0.05) and 6.63 (p=0.01). If you calculated chi-square for a set of categorical variables and received a value of 4.52, what would this indicate?

a. The result is significant at both p=0.05 and p=0.01

b. The result is significant at p=0.05 but not at p=0.01

c. The result is significant at p=0.01 but not at p=0.05

d.The result is not significant at either p=0.05 or p=0.01

	a.	The result is significant at both p=0.05 and p=0.01
	b.	The result is significant at p=0.05 but not at p=0.01
	c.	The result is significant at p=0.01 but not at p=0.05
	d.	The result is not significant at either p=0.05 or p=0.01

I believe it is D as I do not see 4.52 on the table.. or am I incorrect?

Answer 1

Answer(b): The result is significant at p=0.05 but not at p=0.01

>> In hypothesis testing (chi-square test), the result is called to be a significant result, if the calculated value of chi-square is greater than the critical value of chi-square.

>> At p=0.05, the critical value of chi-square is equal to 3.84. Clearly the calculated value of chi-square (4.52) is greater than the critical value. Hence, the result is significant at p=0.05

>> At p=0.01, the critical value of chi-square is equal to 6.63. Since, the calculated value of chi-square (4.52) is less than the critical value, the result is not significant at p=0.01