Observed Counts 25-34 35-44 Age 45-54 (years) 55-64 65 or older Total did not complete high school 27 A. Exactly 12 of them 50 52 71 101 301 B. At least 12 of them C. At least 16 of them Education completed high school 82 19 88 83 59 331 college, 1-3 college, 4 or years more years 43 56 26 20 20 165 48 75 34 26 20 203 Total 1. In order for the Chi Square test to be appropriate for the data, how many expected counts need to be greater than or equal to 5? 200 200 200 200 200 1000

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
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Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 2GP
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Question
Observed Counts
25-34
35-44
Age 45-54
(years) 55-64
65 or older
Total
did not
complete high
school
27
50
52
71
101
301
A.
B. At least 12 of them
C. At least 16 of them
D. All 20 of them
completed
high school
82
19
88
83
59
331
Education
college, 1-3 college, 4 or
years more years
Education is not associated with age
Age does not depend on education
43
56
26
20
20
165
2. Which of the following is the null hypothesis?
A. Age depends on education
B. Education is associated with age
C.
D.
2
48
75
34
26
20
203
1. In order for the Chi Square test to be appropriate for the data, how many expected counts need
to be greater than or equal to 5?
Exactly 12 of them
Total
200
200
200
200
200
1000
If an error is being made here, what type would it be?
Type 1: Concluding that education influences age, when that is not the case
Type 2: Concluding that education influences age, when that is not the case
Type 1: Concluding that age affects education when that is not the case
Type 2: Concluding that age affects education when that is not the case
Type 1: Not concluding that there is an association between age and education when there actually is an
association
Type 2: Not concluding that there is an association between age and education when there actually is an
association
Transcribed Image Text:Observed Counts 25-34 35-44 Age 45-54 (years) 55-64 65 or older Total did not complete high school 27 50 52 71 101 301 A. B. At least 12 of them C. At least 16 of them D. All 20 of them completed high school 82 19 88 83 59 331 Education college, 1-3 college, 4 or years more years Education is not associated with age Age does not depend on education 43 56 26 20 20 165 2. Which of the following is the null hypothesis? A. Age depends on education B. Education is associated with age C. D. 2 48 75 34 26 20 203 1. In order for the Chi Square test to be appropriate for the data, how many expected counts need to be greater than or equal to 5? Exactly 12 of them Total 200 200 200 200 200 1000 If an error is being made here, what type would it be? Type 1: Concluding that education influences age, when that is not the case Type 2: Concluding that education influences age, when that is not the case Type 1: Concluding that age affects education when that is not the case Type 2: Concluding that age affects education when that is not the case Type 1: Not concluding that there is an association between age and education when there actually is an association Type 2: Not concluding that there is an association between age and education when there actually is an association
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