1 A police department released the numbers of calls for the

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A police department released the numbers of calls for the different days of the week during the month of October, as shown in the table to the right. Use a 0.01

significance level to test the claim that the different days of the week have the same frequencies of police calls.

What is the fundamental error with this analysis?

Day Frequency
Sun 156
Mon 210
Tues 220
Wed 247
Thurs 179
Fri 213
Sat 231

Determine the null and alternative hypotheses.

Select an answer to define Ho and H1

Ho: A. Police calls occur with the same frequency on the different days of the week.

       B. Police calls occur with all different frequencies on the different days of the week.

       C. At least two days have a different frequency of calls than the other days.

       D. At least one day has a different frequency of calls than the other days.

Answer Ho_________

H1: A. Police calls occur with the same frequency on the different days of the week.

       B. Police calls occur with all different frequencies on the different days of the week.

       C. At least two days have a different frequency of calls than the other days.

       D. At least one day has a different frequency of calls than the other days.

Answer H1: _________

Calculate the test statistic. _______ (Round to three decimal places as needed.)

Calculate the P-value.   P-value= _________ (Round to four decimal places as needed.)

What is the conclusion for this hypothesis test?

A. Fail to reject H0. There is sufficient evidence to warrant rejection of the claim that the different days of the week have the same frequencies of police calls.

B. Fail to reject H0. There is insufficient evidence to warrant rejection of the claim that the different days of the week have the same frequencies of police calls.

C. Reject H0. There is insufficient evidence to warrant rejection of the claim that the different days of the week have the same frequencies of police calls.

D. Reject H0. There is sufficient evidence to warrant rejection of the claim that the different days of the week have the same frequencies of police calls.

Answer_______

What is the fundamental error with this analysis?

A. Because October has 31 days, one of the days of the week occur more often than the other days of the week.

B. Because October has 31 days, three of the days of the week occur more often than the other days of the week.

C. Because October has 31 days, each day of the week occurs the same number of times as the other days of the week.

D. Because October has 31 days, two of the days of the week occur more often than the other days of the week.

Solution

Ho: Police calls occur with the same frequency on the different days of the week

Option A

H1 : Police calls occur with all different frequencies on the different days of the week.

Oprion B

test statisitc = 27.730769

p value corresponding to test statisitc = 27.730769 and df = 6 is 0.000106

Conclusion for this hypothesis test:

Reject H0. There is sufficient evidence to warrant rejection of the claim that the different days of the week have the same frequencies of police calls.

(Option D)

What is the fundamental error with this analysis?

A. Because October has 31 days, one of the days of the week occur more often than the other days of the week.