A bicycle safety organization claims that fatal bicycle accidents are uniformly
ID: 3320922 • Letter: A
Question
A bicycle safety organization claims that fatal bicycle accidents are uniformly distributed throughout the week. The table on the right shows the day of the week for which 775 randomly selected fatal bicycle accidents occurred. At a=0.01,
can you reject the claim that the distribution is uniform? Complete parts a through d below.
Day
Frequency, f
Sunday
107
Monday
111
Tuesday
106
Wednesday
112
Thursday
122
Friday
104
Saturday
113
Day
Frequency, f
Sunday
107
Monday
111
Tuesday
106
Wednesday
112
Thursday
122
Friday
104
Saturday
113
Explanation / Answer
The statistical software output for this problem is:
Chi-Square goodness-of-fit results:
Observed: f
Expected: All cells in equal proportion
Hence,
a) Hypotheses:
Ho: The distribution is uniform.
Ha: The distribution is not uniform.
b) Test statistic = 1.946
c) P - value = 0.925
d) p - Value is greater than 0.01 so we do not reject Ho.
Hence,
We do not have sufficient evidence to reject the claim that the distribution is uniform.
N DF Chi-Square P-value 775 6 1.9458065 0.9246Related Questions
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