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...





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


Sun


Mon


Tues


Wed


Thurs


Fri


Sat




Frequency


159


206


230


245


179


210


234









Determine the null and alternative hypotheses.



H0​:





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

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

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

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





H1​:





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

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

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

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




Calculate the test​ statistic,
χ2.




χ2=nothing

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

Calculate the​ P-value.



​P-value=nothing

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

What is the conclusion for this hypothesis​ test?







A.



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.






B.



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.






C.



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.






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.





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.










Click to select your answer(s).

Jun 06, 2022
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