Question

A researcher wants to determine if the number of minutes spent watching television per day is independent of gender. A random sample of 315 adults was selected and the results are shown below. Is there enough evidence to conclude that the number of minutes spent watching television per day is related to gender? Find the P-Value. 0 - 30 mins 30 - 60 mins 60 - 90 mins 90 - over mins Male 25 35 75 45 Female 30 45 45 15 Group of answer choices 3.5781 E-4 1.0575 E-3 5.6672 E-3 4.1032 E-4

Answer 1

Applying chi square test of independence:

Expected	Ei=row total*column total/grand total	0-30 min	30-60 min	60-90 min	90-	Total
	male	31.43	45.71	68.57	34.29	180
	female	23.57	34.29	51.43	25.71	135
	total	55	80	120	60	315
chi square    χ2	=(Oi-Ei)2/Ei	0-30 min	30-60 min	60-90 min	90-	Total
	male	1.315	2.511	0.603	3.348	7.7770
	female	1.753	3.348	0.804	4.464	10.3693
	total	3.0682	5.8594	1.4062	7.8125	18.1463
test statistic X2 =		18.146
p value =		4.1032 E-04