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 777 randomly selected fatal bicycle accidents occurred. At. α=0.10​, can you reject the claim that the distribution is​uniform? Complete parts a through d below.

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Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 10CYU
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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
777 randomly selected fatal bicycle accidents occurred. At. α=0.10​, can you reject the claim that the distribution is​uniform? Complete parts a through d below.
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 777 randomly
selected fatal bicycle accidents occurred. At a = 0.10, can you reject the claim that the distribution
is uniform? Complete parts a through d below.
Frequency, f
107
Day
Sunday
Monday
Tuesday
Wednesday
Thursday
Friday
Saturday
113
106
111
123
106
111
(a) State H, and H, and identify the claim.
Ho: The distribution of fatal bicycle accidents throughout the week is
Ha: The distribution of fatal bicycle accidents throughout the week is
Which hypothesis is the claim?
Ho
Ha
2
(b) Determine the critical value, Xo, and the rejection region.
2
X6 = (Round to three decimal places as needed.)
%3D
Choose the correct rejection region below.
2
B. X>x6
2
2
O A. X>x%
2
2
Oc. Xsx
O D. X <X6
(c) Calculate the test statistic.
(Round to three decimal places as needed.)
(d) Decide whether to reject or fail to reject the null hypothesis. Then interpret the decision in the context of the original claim.
V Ho. At the 10% significance level, there
enough evidence to reject the claim that the distribution of fatal bicycle accidents thoughout the week is
uniform.
Transcribed Image Text: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 777 randomly selected fatal bicycle accidents occurred. At a = 0.10, can you reject the claim that the distribution is uniform? Complete parts a through d below. Frequency, f 107 Day Sunday Monday Tuesday Wednesday Thursday Friday Saturday 113 106 111 123 106 111 (a) State H, and H, and identify the claim. Ho: The distribution of fatal bicycle accidents throughout the week is Ha: The distribution of fatal bicycle accidents throughout the week is Which hypothesis is the claim? Ho Ha 2 (b) Determine the critical value, Xo, and the rejection region. 2 X6 = (Round to three decimal places as needed.) %3D Choose the correct rejection region below. 2 B. X>x6 2 2 O A. X>x% 2 2 Oc. Xsx O D. X <X6 (c) Calculate the test statistic. (Round to three decimal places as needed.) (d) Decide whether to reject or fail to reject the null hypothesis. Then interpret the decision in the context of the original claim. V Ho. At the 10% significance level, there enough evidence to reject the claim that the distribution of fatal bicycle accidents thoughout the week is uniform.
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