The random and 10% conditions are met. Is the Large Counts condition met?

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
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A warehouse manager wants to know if there is an association between the shift worked and being on time for work. To investigate, he selects a random sample of 70 workers and classifies each one according to the shift they worked most recently and whether they were on time for work. He was unable to classify a substantial number of people as being on time, so he classified those individuals as unknown. The data are displayed in the table.

 

The manager would like to know if these data provide convincing evidence of an association between the shift worked and being on time in the large population of all workers at this warehouse. The random and 10% conditions are met. Is the Large Counts condition met?

Yes, the smallest expected count is 5, so all expected counts are at least 5.
Yes, the smallest expected count is 8.54, so all expected counts are at least 5.
No, the smallest expected count is 2.56, so the expected counts are not all at least 5.
No, the smallest expected count is 4.46, so the expected counts are not all at least 5.
On Time?
Yes
No
Unknown
Morning
20
8
18
Shift Worked
Evening
8
5
11
Transcribed Image Text:On Time? Yes No Unknown Morning 20 8 18 Shift Worked Evening 8 5 11
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