Question

The numbers for car accidents in a particular year in a certain county are given for each day of the week.

day of week	Sunday	Monday	Tuesday	Wednesday	Thursday	Friday	Saturday
# accidents	77	60	54	48	53	53	75

The sheriff claims that accidents are equally likely on each day of the week. Do we have evidence at the following levels that he is mistaken?

The degrees of freedom are df =  
The test-statistic is chi-square (exactly) =  
Using the chi-square chart on my website, the p-value is between  and  (exact answers, smaller followed by bigger).

At the 10% level, does the sample provide evidence that the sheriff is mistaken?

yesno     

At the 7.5% level, does the sample provide evidence that the sheriff is mistaken?

noyes     

At the 5% level, does the sample provide evidence that the sheriff is mistaken?

yesno     

At the 2% level, does the sample provide evidence that the sheriff is mistaken?

noyes     

At the 1% level, does the sample provide evidence that the sheriff is mistaken?

yesno     

Answer 1

Degrees of freedom = 6

Test statistics = 13.2

P-value = 0.04

At the 10% level, does the sample provide evidence that the sheriff is mistaken?

yes

At the 7.5% level, does the sample provide evidence that the sheriff is mistaken?

yes     

At the 5% level, does the sample provide evidence that the sheriff is mistaken?

yes  

At the 2% level, does the sample provide evidence that the sheriff is mistaken?

no

At the 1% level, does the sample provide evidence that the sheriff is mistaken?

no