Day Frequency Sun 158 Mon 204 Tues 222 Wed 247 Thurs 172 Fri 209 Sat 240 A polic
ID: 3313669 • Letter: D
Question
Day Frequency Sun 158 Mon 204 Tues 222 Wed 247 Thurs 172 Fri 209 Sat 240 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?
Determine the null and alternative hypotheses.
H0:
Police calls occur with the same frequency on the different days of the week.
H1:
Police calls occur with all different frequencies on the different days of the week.
2.
Calculate the P-value.
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.
C.
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.
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.
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, three of the days of the week occur more often than the other days of the week.
D.
Because October has 31 days, two of the days of the week occur more often than the other days of the week.
Explanation / Answer
The statistical software output for this problem is:
Chi-Square goodness-of-fit results:
Observed: Oi
Expected: All cells in equal proportion
Hence,
p - value = 0.0000
Reject Ho; Sufficient evidence Option D is correct.
Fundamental error; Because October has 31 days, three of the days of the week occur more often than the other days of the week.
Option C is correct.
N DF Chi-Square P-value 1452 6 31.585399 <0.0001Related Questions
drjack9650@gmail.com
Navigate
Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.