Question

A police department released the numbers of calls for the different days of the week during...

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.

Question is complete. Tap on the red indicators to see incorrect answers.

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