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? Day Sun Mon Tues Wed Thurs Fri Sat Frequency 154 209 228 250 178 212 236 ..... Dotermine the pull ond olternotive hynot+heses

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Chapter10: Statistics
Section10.6: Summarizing Categorical Data
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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?
Day
Sun
Mon
Tues
Wed
Thurs
Fri
Sat
Frequency
154
209
228
250
178
212
236
.... .
Determine the null and alternative hypotheses.
Ho: Police calls occur with the same frequency on the different days of the week.
H,: At least one day has a different frequency of calls than the other days.
Calculate the test statistic, y.
x? =
(Round to three decimal places as needed.)
Calculate the P-value.
P-value = (Round to four decimal places as needed.)
What is the conclusion for this hypothesis test?
O A. 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.
B. Fail to 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.
C. Reject Ho: There is insufficient 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 Ho. There is insufficient 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, one 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, two of the days of the week occur more often than the other days of the week.
D. Because October has 31 days, three of the days of the week occur more often than the other days of the week.
Transcribed Image Text: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? Day Sun Mon Tues Wed Thurs Fri Sat Frequency 154 209 228 250 178 212 236 .... . Determine the null and alternative hypotheses. Ho: Police calls occur with the same frequency on the different days of the week. H,: At least one day has a different frequency of calls than the other days. Calculate the test statistic, y. x? = (Round to three decimal places as needed.) Calculate the P-value. P-value = (Round to four decimal places as needed.) What is the conclusion for this hypothesis test? O A. 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. B. Fail to 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. C. Reject Ho: There is insufficient 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 Ho. There is insufficient 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, one 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, two of the days of the week occur more often than the other days of the week. D. Because October has 31 days, three of the days of the week occur more often than the other days of the week.
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