Question

Consider the contingency table. Round answers to two decimal places.

	Live on-campus	Live off-campus	Total
First-year students	90	10	100
Upper-level students	30	70	100
Total	120	80	200

What is the expected frequency for first-year students who live on campus?

What is the value of the chi-square test statistic?

What is the critical value?

What decision do you make about the null? Type “reject” or “fail to reject” for your answer.

Answer 1

		c1	c2	total
	r1	90	10	100
	r2	30	70	100
	total	120	80	200
	Oi	90	10	30	70
	Ei	60	40	60	40
						TS
	(O--Ei)^2/Ei	15	22.5	15	22.5	75
	critical value	3.84
p-value	0

What is the expected frequency for first-year students who live on campus?

=120*100/200

=60

What is the value of the chi-square test statistic?

TS =75

What is the critical value?

df = (r-1)(c-1)=1

critical value =3.84

Decision

since TS > critical value

we reject the null hypothesis

Please rate