A police department released the numbers of calls for thedifferent days of the week during the month of​ October, as shownin the table to the right. Use a
0.010.01
significance level to test the claim that the different days ofthe week have the same frequencies of police calls. What is thefundamental error with this​ analysis?
Day nbspDay | Sun | Mon | Tues | Wed | Thurs | Fri | Sat | |
|---|
FrequencyFrequency | 159159 | 207207 | 229229 | 246246 | 177177 | 215215 | 232232 | |
|---|
Determine the null and alternative hypotheses.
Upper H 0H0​:
â–¼
At least one day has a different frequency of calls than theother days.
Police calls occur with all different frequencies on thedifferent days of the week.
Police calls occur with the same frequency on the different daysof the week.
At least two days have a different frequency of calls than theother days.
Upper H 1H1​:
â–¼
Police calls occur with the same frequency on the different daysof the week.
Police calls occur with all different frequencies on thedifferent days of the week.
At least two days have a different frequency of calls than theother days.
At least one day has a different frequency of calls than theother days.
Calculate the test​ statistic,
chi squaredχ2.
chi squaredχ2equals=nothing
​(Round to three decimal places as​ needed.)
Calculate the​ P-value.
​P-valueequals=nothing
​(Round to four decimal places as​ needed.)
What is the conclusion for this hypothesis​ test?
A.
RejectReject
Upper H 0H0.
There is
sufficientsufficient
evidence to warrant rejection of the claim that the differentdays of the week have the same frequencies of police calls.
B.
Fail to rejectFail to reject
Upper H 0H0.
There is
insufficientinsufficient
evidence to warrant rejection of the claim that the differentdays of the week have the same frequencies of police calls.
C.
Fail to rejectFail to reject
Upper H 0H0.
There is
sufficientsufficient
evidence to warrant rejection of the claim that the differentdays of the week have the same frequencies of police calls.
D.
RejectReject
Upper H 0H0.
There is
insufficientinsufficient
evidence to warrant rejection of the claim that the differentdays of the week have the same frequencies of police calls.
What is the fundamental error with this​ analysis?
A.
Because October has 31​ days, two of the days of the week occurmore often than the other days of the week.
B.
Because October has 31​ days, three of the days of the weekoccur more often than the other days of the week.
C.
Because October has 31​ days, each day of the week occurs thesame number of times as the other days of the week.
D.
Because October has 31​ days, one of the days of the week occurmore often than the other days of the week.
