A random sample 140 births from local records was collected

A random sample 140 births from local records was collected to test whether there are fewer births on certain days of the week. The number of births on each day of the week in the sample was as follows:

Day Sun Mon Tue Wed Thu Fri Sat

Births 13 23 24 20 27 18 15

Does this give significant evidence that local births are nor equally likely on all days of the week?

Solution

Set up null and alternate as

H0: Births are equally likely on all days of the week.

Ha: Atleast two days differ

Two tailed chi square test

Prepare chi square contingency table.

Df = 6x1 =6

p value = 0.5396

As p >0.05 accept null hypothesis

There is no statistical evidence that the births are not equally likely on all days of week