Question

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

nequals=303303

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

alphaαequals=0.050.05

level of​ significance?

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Let

p Subscript ipi

​= 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​:

p 1 equals p 2 equals ... equals p 7 equals one seventhp1=p2=...=p7=17

H1​:

At least one proportion is different from the others.

B.

H0​:

p 1 equals p 2 equals ... equals p 7 equals one seventhp1=p2=...=p7=17

H1​:

More accidents occur later in the week than earlier.

C.

H0​:

At least one proportion is different from the others.

H1​:

p 1 equals p 2 equals ... equals p 7 equals one seventhp1=p2=...=p7=17

D.

H0​:

p 1 equals p 2 equals ... equals p 7 equals one seventhp1=p2=...=p7=17

H1​:

More accidents occur earlier in the week than later.

Compute the expected counts for day of the week.

Day of the Week	Observed Count	Expected Count
Sunday	3838	nothing
Monday	4141	nothing
Tuesday	2626	nothing
Wednesday	4242	nothing
Thursday	4444	nothing
Friday	4949	nothing
Saturday	6363	nothing
		​(Round to two decimal places as​ needed.)

What is the test​ statistic?

chi Subscript 0 Superscript 2χ20

equals=

nothing ​(Round to three decimal places as​ needed.)

What is the​ P-value of the​ test?

​P-valueequals=nothing

​(Round to three decimal places as​ needed.)

Based on the​ results, do the accidents follow a uniform​ distribution?

A.

Reject Upper H 0Reject H0​,

because the calculated​ P-value is

greatergreater

than the given

alphaα

level of significance.

B.

Reject Upper H 0Reject H0​,

because the calculated​ P-value is

lessless

than the given

alphaα

level of significance.

C.

Do not reject Upper H 0Do not reject H0​,

because the calculated​ P-value is

lessless

than the given

alphaα

level of significance.

D.

Do not reject Upper H 0Do not reject H0​,

because the calculated​ P-value is

greatergreater

than the given

alphaα

level of significance.

Answer 1