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
0.010.01 how to solve the test statistic and p value on calculator?
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 nbspDay |
Sun |
Mon |
Tues |
Wed |
Thurs |
Fri |
Sat |
|
---|---|---|---|---|---|---|---|---|
FrequencyFrequency |
160160 |
200200 |
225225 |
241241 |
177177 |
214214 |
234234 |
Determine the null and alternative hypotheses.
Upper H 0H0:
Police calls occur with the same frequency on the different days of the week.
Upper H 1H1:
At least one day has a different frequency of calls than the other days.
Calculate the test statistic,
chi squaredχ2.
chi squaredχ2equals=26.12526.125
(Round to three decimal places as needed.)
Calculate the P-value.
P-valueequals=0.00020.0002
(Round to four decimal places as needed.)
What is the conclusion for this hypothesis test?
A.
Fail to rejectFail to reject
Upper H 0H0.
There is
sufficientsufficient
evidence to warrant rejection of the claim that the different days of the week have the same frequencies of police calls.
B.
RejectReject
Upper H 0H0.
There is
insufficientinsufficient
evidence to warrant rejection of the claim that the different days of the week have the same frequencies of police calls.
C.
Fail to rejectFail to reject
Upper H 0H0.
There is
insufficientinsufficient
evidence to warrant rejection of the claim that the different days of the week have the same frequencies of police calls.
D.
RejectReject
Upper H 0H0.
There is
sufficientsufficient
evidence to warrant rejection of the claim that the different days of the week have the same frequencies of police calls.Your answer is correct.
What is the fundamental error with this analysis?
A.
Because October has 31 days, three of the days of the week occur more often than the other days of the week.
Your answer is correct.
B.
Because October has 31 days, one of the days of the week occur more often than the other days of the week.
C.
Because October has 31 days, two of the days of the week occur more often than the other days of the week.
D.
Because October has 31 days, each day of the week occurs the same number of times as the other days of the week.
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