This table shows the number of defects tailed by day of the

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.

Solution

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