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=309 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 a= 0.05 level of significance? Click the icon to view the table. H₁: P₁ P₂ == P7=7 1 Ho: P1 P2 == P7 = 7 H₁: At least one proportion is different from the others. Compute the expected counts for day of the week. Day of the Week Observed Count Sunday 44 Expected Count 44.14 Monday 43 44.14 28 44.14 Tuesday Wednesday 41 - X 44.14 Distribution of accidents 43 44.14 Thursday Friday Saturday 50 44.14 60 44.14 (Round to two decimal places as needed.) Day of the Sunday Monday Tuesday Wednesday Thursday Friday Saturday Week Frequency 44 43 28 41 43 50 60 What is the test statistic? x = 12.660 (Round to three decimal places as needed.) What is the P-value of the test? Print Done P-value = 0.049 (Round to three decimal places as needed.) Based on the results, do the accidents follow a uniform distribution? A. Do not reject Ho, because the calculated P-value is greater than the given a level of significance. O B. Do not reject Ho, because the calculated P-value is less than the given a level of significance. c. Reject Ho. because the calculated P-value is less than the given a level of significance. OD. Reject H. because the calculated P-value is greater than the given a level of significance. D.

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How would you solve for the test statistic and p-value in this case? Thank you.

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 = 309 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 x = 0.05 level of significance?
Click the icon to view the table.
H₁: P₁ P₂ =...
... = P7 = 7
1
Ho: P₁ P₂ =.= P7 = 7
H₁: At least one proportion is different from the others.
Compute the expected counts for day of the week.
Day of the Week Observed Count Expected Count
Sunday
44
44.14
Monday
43
44.14
Tuesday
28
44.14
41
X
44.14
Distribution of accidents
43
44.14
Wednesday
Thursday
Friday
Saturday
50
44.14
60
44.14
(Round to two decimal places as needed.)
Day of the
Sunday Monday Tuesday Wednesday Thursday Friday Saturday
Week
Frequency 44
43
28
43
50
60
41
What is the test statistic?
x²
= 12.660 (Round to three decimal places as needed.)
What is the P-value of the test?
Print
Done
P-value = 0.049 (Round to three decimal places as needed.)
Based on the results, do the accidents follow a uniform distribution?
A. Do not reject Ho, because the calculated P-value is greater than the given a level of significance.
B. Do not reject Ho, because the calculated P-value is less than the given a level of significance.
C. Reject Ho, because the calculated P-value is less than the given a level of significance.
D. Reject Ho, because the calculated P-value is greater than the given a level of significance.
D.
Transcribed Image Text: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 = 309 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 x = 0.05 level of significance? Click the icon to view the table. H₁: P₁ P₂ =... ... = P7 = 7 1 Ho: P₁ P₂ =.= P7 = 7 H₁: At least one proportion is different from the others. Compute the expected counts for day of the week. Day of the Week Observed Count Expected Count Sunday 44 44.14 Monday 43 44.14 Tuesday 28 44.14 41 X 44.14 Distribution of accidents 43 44.14 Wednesday Thursday Friday Saturday 50 44.14 60 44.14 (Round to two decimal places as needed.) Day of the Sunday Monday Tuesday Wednesday Thursday Friday Saturday Week Frequency 44 43 28 43 50 60 41 What is the test statistic? x² = 12.660 (Round to three decimal places as needed.) What is the P-value of the test? Print Done P-value = 0.049 (Round to three decimal places as needed.) Based on the results, do the accidents follow a uniform distribution? A. Do not reject Ho, because the calculated P-value is greater than the given a level of significance. B. Do not reject Ho, because the calculated P-value is less than the given a level of significance. C. Reject Ho, because the calculated P-value is less than the given a level of significance. D. Reject Ho, because the calculated P-value is greater than the given a level of significance. D.
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