Contingency Test

Observed Counts

Row Variable is Sex
Column Variable is Hair

	Black	Blond	Brown	Red	Total
Female	52	81	143	37	313
Male	56	46	143	34	279
Total	108	127	286	71	592

Mosaic Plot of Hair vs Sex

, ,Mosaic Plot of Hair vs Sex, , The x-axis label is, Sex, , The y-axis label is, Hair

Chi-Squared Test of Independence

Research Hypothesis H_a: Sex and Hair are associated

Observed Test Statistic	Degrees of Freedom	P-Value
7.99424	3	0.04613

Test is significant at the 5% significance level

P-Value Graph:
Method: Chi-Squared Test of Independence

Null Density: Chi-Squared; df = 3
Null Hypothesis H0: Sex and Hair are independent

, The graph shows the distribution of Chi-Squared Values , Observed Chi-Squared Value = 7.9942 , P-Value = 0.046131

Critical Region Graph:
Method: Chi-Squared Test of Independence

Null Density: Chi-Squared; df = 3
Null Hypothesis H0: Sex and Hair are independent

, The graph shows the distribution of Chi-Squared Values , Observed Chi-Squared Value = 7.9942 , Critical Region for alpha = 5%
critical value = 7.8147

Fisher Exact Test: Exact p-value

Research Hypothesis H_a: Sex and Hair are not independent.

p-value
0.0448888

Test is significant at the 5% significance level

Expected Counts

Row Variable is Sex
Column Variable is Hair

	Black	Blond	Brown	Red	Total
Female	57.1	67.15	151.21	37.54	313
Male	50.9	59.85	134.79	33.46	279
Total	108	127	286	71	592