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Title: Chi Square - Statistics
Description: This document contains how to do questions using chi square and step by step
Description: This document contains how to do questions using chi square and step by step
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11
...
The U
...
Census Bureau compiles census data on
educational attainment of Americans
...
S
...
Here is that distribution
...
S
...
Decide, at the 5% significance level, whether this year’s distribution of educational
attainment differs from the 2000 distribution
...
05
Highest
level
x
Not
HS
graduate
HS
graduate
Some
college
Associate’s
degree
Bachelor’s
degree
Advanced
degree
Observed
frequency
O
15
...
2
Difference
O-E
68
...
24
Chi-square
subtotal
(O-E)2/E
55
...
8
16078
...
49
17
...
4
4956
...
32
7
...
2
585
...
30
17
...
32
8
...
4
1632
...
31
100
500
400
320
...
11
𝐸
Critical value is 𝑥𝛼2 with df = 6-1=5
2
𝑥0
...
070
0
...
11
...
11
The value of the test statistic is x2 = 320
...
because it does fall in the rejection
region, we reject the H0
...
At the 5% significance level, the data do provide sufficient evidence to conclude that
this year’s distribution of educational attainment differs from the 2000 distribution
Title: Chi Square - Statistics
Description: This document contains how to do questions using chi square and step by step
Description: This document contains how to do questions using chi square and step by step