Question

31. An obtained chi square of 9.53 was calculated and the critical chi square was 18.48. What should be concluded from these results?

	a.	The result is both statistically significant and important.
	b.	The variables are independent.
	c.	The null hypothesis must be rejected.
	d.	The information is incomplete; nothing can be concluded.

Answer 1

Here, the calculated chi- sq. Value is 9.53 which is less than critical chi-sq. value (=18.48). So, we do not reject the null hypothesis.

So, option B is correct.

As under null hypothesis on test of independence of attributes we have , H0: the variables are independent.

Statistically significant means there is difference Between observed and expected frequency i.e. we reject the null hypothesis. So, option a and c are not true as we are not rejecting the null hypothesis.

Also, option D is not correct as the information is complete.