A social service organization reports that the level of educational attainment o
ID: 3223890 • Letter: A
Question
A social service organization reports that the level of educational attainment of mothers receiving food stamps is uniformly distributed. To test this claim, you randomly mothers who currently receive food stamps and record the educational attainment of each. The results are shown in the table on the right. At alpha = 0.05, can you reject the claim that the distribution is uniform? Complete parts (a) through (d) below. H_a (b) Determine the critical value, chi^2_0, and the rejection region. chi^2_0 = (Round to three decimal places as needed.)Explanation / Answer
Answer:
Ho: The distribution is uniform
H1: The distribution is not uniform
Goodness of Fit Test
observed
expected
O - E
(O - E)² / E
33
31.667
1.333
0.056
36
31.667
4.333
0.593
26
31.667
-5.667
1.014
Total
95
95.000
0.000
1.663
1.663
chi-square
2
df
.4354
p-value
Test statistic = 1.663
Critical value =5.991
Calculated chi square 1.663 < 5.991, fail to reject Ho.
we conclude that the distribution is uniform.
Goodness of Fit Test
observed
expected
O - E
(O - E)² / E
33
31.667
1.333
0.056
36
31.667
4.333
0.593
26
31.667
-5.667
1.014
Total
95
95.000
0.000
1.663
1.663
chi-square
2
df
.4354
p-value
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