Tabulation of Results
Software x Happiness
	7	8	9	10	11	12	13	14	15	16	17	18	19
5	0	0	0	0	0	1	0	0	0	0	0	0	0
6	0	0	1	0	0	2	0	1	2	0	0	0	0
7	0	1	0	1	0	0	0	0	0	2	0	0	0
8	0	0	1	0	0	1	3	2	3	1	0	0	0
9	0	0	1	0	1	1	1	1	1	2	2	0	2
10	0	0	0	0	2	3	2	3	2	2	4	2	0
11	0	0	1	1	1	5	3	5	6	2	2	2	0
12	1	0	1	1	4	1	6	7	16	8	2	0	1
13	0	0	1	1	0	2	1	3	2	3	1	0	0
14	0	0	0	0	3	0	0	2	3	1	1	0	0
15	0	0	0	0	1	0	3	1	0	2	0	1	0

Tabulation of Expected Results
Software x Happiness
	7	8	9	10	11	12	13	14	15	16	17	18	19
5	0.01	0.01	0.04	0.02	0.07	0.1	0.12	0.15	0.22	0.14	0.07	0.03	0.02
6	0.04	0.04	0.22	0.15	0.44	0.59	0.7	0.93	1.3	0.85	0.44	0.19	0.11
7	0.02	0.02	0.15	0.1	0.3	0.4	0.47	0.62	0.86	0.57	0.3	0.12	0.07
8	0.07	0.07	0.41	0.27	0.81	1.09	1.29	1.7	2.38	1.56	0.81	0.34	0.2
9	0.07	0.07	0.44	0.3	0.89	1.19	1.41	1.85	2.59	1.7	0.89	0.37	0.22
10	0.12	0.12	0.74	0.49	1.48	1.98	2.35	3.09	4.32	2.84	1.48	0.62	0.37
11	0.17	0.17	1.04	0.69	2.07	2.77	3.28	4.32	6.05	3.98	2.07	0.86	0.52
12	0.3	0.3	1.78	1.19	3.56	4.74	5.63	7.41	10.37	6.81	3.56	1.48	0.89
13	0.09	0.09	0.52	0.35	1.04	1.38	1.64	2.16	3.02	1.99	1.04	0.43	0.26
14	0.06	0.06	0.37	0.25	0.74	0.99	1.17	1.54	2.16	1.42	0.74	0.31	0.19
15	0.05	0.05	0.3	0.2	0.59	0.79	0.94	1.23	1.73	1.14	0.59	0.25	0.15

Statistical Results
Pearson's Chi-squared test
Pearson Chi Square Statistic	153.27
Degrees of Freedom	120
P value	0.02