This table shows the number of defects, tailed by day of the week, in a manufact
ID: 3441459 • Letter: T
Question
This table shows the number of defects, tailed by day of the week, in a manufacturing proce This table shows the number of defects, tailed by day of the week, in a manufacturing process:
Monday | Tuesday | Wednesday | Thursday | Friday|
Number| 36 | 23 | 26 | 25 | 40 |
The manufacturer is concerned that the number of defects is greater on Monday and Friday. Test, at the 0.05 level of significance, the claim that the proportion of defects is the same each day of the week. Be sure to include all steps of a hypothesis testing procedure.
Explanation / Answer
H0: The proportion of defects are the same on all days
Ha:atleast 2 days have different proportions
Two tailed chi square test
Contingency table is prepared as follows with expected equally distributed
df =4
p value =0.1102
As p >0.05 accept null hypothesis
All proportions are equal
Mon Tues Wed Thurs Fri Number 36 23 26 25 40 150 Expected 30 30 30 30 30 150 Chi squar 1.2 1.633333 0.533333 0.833333 3.333333 7.533333Related Questions
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