Question

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

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	153153	208208	226226	245245	179179	209209	234234

Determine the null and alternative hypotheses.

Upper H 0H0​:

▼

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 all different frequencies on the different days of the week.

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.

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.

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

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.

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.

B.

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.

Answer 1

The statistical software output for this problem is:

Hence,

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

H1: At least one day has a different frequency of calls than the other days.

Test statistic = 30.019

P-value = 0.0000

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