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 782 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.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
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 782 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   113

Tuesday    104

Wednesday  112

Thursday    121

Friday         104

Saturday     121

(a) State H0 and Ha and identify the claim.

​: The distribution of fatal bicycle accidents throughout the week is

​: The distribution of fatal bicycle accidents throughout the week is

Part 2

Which hypothesis is the​ claim?

Part 3

​(b) Determine the critical​ value, ​, and the rejection region.

  

Part 4

Choose the correct rejection region below.

Part 5

​(c) Calculate the test statistic.

  

Part 6

​(d) Decide whether to reject or fail to reject the null hypothesis. Then interpret the decision in the context of the original claim.

 

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