Question

A program for generating random numbers on a computer is to be tested. The program is instructed to generate 100 single-digit integers between 0 and 9. The frequencies of the observed integers were as follows. At the 0.05 level of significance, is there sufficient reason to believe that the integers are not being generated uniformly?

Integer	0	1	2	3	4	5	6	7	8	9
Frequency	12	8	8	5	11	11	8	11	13	13

(a) Find the test statistic. (Round your answer to two decimal places.)


(ii) Find the p-value. (Round your answer to four decimal places.)

Answer 1

(a) The test statistic = 6.20

(ii) The p-value = 0.7197

observed	expected	O - E	(O - E)² / E
12	10.000	2.000	0.400
8	10.000	-2.000	0.400
8	10.000	-2.000	0.400
5	10.000	-5.000	2.500
11	10.000	1.000	0.100
11	10.000	1.000	0.100
8	10.000	-2.000	0.400
11	10.000	1.000	0.100
13	10.000	3.000	0.900
13	10.000	3.000	0.900
100	100.000	0.000	6.200
6.20	chi-square
9	df
.7197	p-value

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