To determine if there is an association between gender and reading habits, 270 adults are randomly sampled from across the United States and asked the following question: “How often do you read a book outside of work or school: regularly, sometimes, or never?” The results are summarized in the following table: OBSERVED READING HABITS Regularly Sometimes Never Total Male 42 72 10 124 Female 72 74 7 146 Total 107 146 17 270 a)Suppose the expected count for males who answered “Never” is 11.3. refer to the table of expected counts below. Is the sample size large enough to conduct a chi-square test? EXPECTED COUNTS Regularly Sometimes Never Male 49.14074 67.051852 11.3
To determine if there is an association between gender and reading habits, 270 adults are randomly sampled from across the United States and asked the following question: “How often do you read a book outside of work or school: regularly, sometimes, or never?” The results are summarized in the following table:
|
|
OBSERVED |
READING |
HABITS |
|
|
|
Regularly |
Sometimes |
Never |
Total |
|
Male |
42 |
72 |
10 |
124 |
|
Female |
72 |
74 |
7 |
146 |
|
Total |
107 |
146 |
17 |
270 |
a)Suppose the expected count for males who answered “Never” is 11.3. refer to the table of expected counts below. Is the sample size large enough to conduct a chi-square test?
|
|
EXPECTED COUNTS |
||
|
|
Regularly |
Sometimes |
Never |
|
Male |
49.14074 |
67.051852 |
11.3 |
|
Female |
57.85926 |
78.948148 |
9.192593 |
b)Assume the conditions for the test are met. Refer to the tables of observed and expected components above. What is the chi-square component for females who read regularly?
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