(28, part 4).

A researcher wanted to determine whether certain accidents were uniformly distributed over the days of the week. The data show the day of the week for

n=304

randomly selected accidents. Is there reason to believe that the accident occurs with equal frequency with respect to the day of the week at the

=0.05

level of significance?

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Part 1

Let

pi

= the proportion of accidents on day i, where i = 1 for Sunday, i = 2 for Monday, etc. What are the null and alternative hypotheses?

A.

H0:

At least one proportion is different from the others.

H1:

p1=p2=...=p7=17

B.

H0:

p1=p2=...=p7=17

H1:

More accidents occur later in the week than earlier.

C.

H0:

p1=p2=...=p7=17

H1:

At least one proportion is different from the others.

This is the correct answer.

D.

H0:

p1=p2=...=p7=17

H1:

More accidents occur earlier in the week than later.

Your answer is not correct.

Part 2

Compute the expected counts for day of the week.

Day of the Week	Observed Count	Expected Count
Sunday	42	43.4343.43
Monday	39	43.4343.43
Tuesday	28	43.4343.43
Wednesday	38	43.4343.43
Thursday	47	43.4343.43
Friday	51	43.4343.43
Saturday	59	43.4343.43
		(Round to two decimal places as needed.)

Part 3

What is the test statistic?

20

=

13.85513.855 (Round to three decimal places as needed.)

Part 4

What is the P-value of the test?

P-value=enter your response here

(Round to three decimal places as needed.)