Question

In: Statistics and Probability

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 0.01 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?

Days Sun Mon Tues Wed Thurs Fri Sat
Frequency 157 205 228 246 179 214 230

Calculate the test​ statistic:

Calculate the​ P-value:

What is the conclusion for this hypothesis​ test?

A. Fail to reject Upper H 0. 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. Reject Upper H 0. There is insufficient evidence to warrant rejection of the claim that the different days of the week have the same frequencies of police calls.

C. Reject Upper H 0. There is sufficient evidence to warrant rejection of the claim that the different days of the week have the same frequencies of police calls.

D. Fail to reject Upper H 0. 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, two of the days of the week occur more often than the other days of the week.

B. Because October has 31​ days, each day of the week occurs the same number of times as the other days of the week.

C. Because October has 31​ days, three of the days of the week occur more often than the other days of the week.

D. Because October has 31​ days, one of the days of the week occur more often than the other days of the week.

Solutions

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D. Because October has 31​ days, one of the days of the week occur more often than the other days of the week

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