The table below lists the number of crimes reported at a police station on each day of the

week for the past three months.

Day of the WeekNumber ofCrimes

Monday 21

Tuesday 10

Wednesday 13

Thursday 16

Friday 25

Saturday 29

Sunday 26

1. The null hypothesis for the goodness-of-fit test is that the number of crimes reported at

this police station is the same for each day of the week. The expected frequencies for each of the seven days are:

Monday: ____

Tuesday: ____

Wednesday: ____

Thursday: _____

Friday: _____

Saturday: _____

Sunday: _____

2. The null hypothesis for the goodness-of-fit test is that the number of crimes reported at

this police station is the same for each day of the week. What are the degrees of freedom

for this test? __________________________________________

3. The null hypothesis for the goodness-of-fit test is that the number of crimes reported at

this police station is the same for each day of the week. The significance level is 10%.

What is the critical value of chi-square (3 decimals)? _____________________________

4. The null hypothesis for the goodness-of-fit test is that the number of crimes reported at

this police station is the same for each day of the week. By hand, what is the value of the

test statistic (one decimal)?