A doctor claims that the number of births by day of the week isuniformly distributed. To test this claim, you randomly select 700births from a recent year and record the day of the week on whicheach takes place. The table shows the results.
| Day: | Sunday | Monday | Tuesday | Wednesday | Thursday | Friday | Saturday |
|---|
| Births: | 68(100) | 107(100) | 117(100) | 110(100) | 114(100) | 109(100) | 75(100) |
Test the doctor's claim at the significance level a=0.05.
a) What is the assumed proportion of births in each day?(infractions)
b) State H0 and Ha.
c) What is the degrees of freedom of the test?
d) Calculate the x^2 test statistic.
e) Decide whether to reject the null hypothesis.
g) Interpret the decision in the context of the originalclaim.
