State the null and alternative hypotheses. O Ho: Not all proportions are equal. H3: PSun = PMon = PTue = Pwed = PThu = PFri = Psat = O Ho: Not all proportions are equal. Hạ: Psun * PMon * PTue * Pwed * PThu * PFri * Psat * O Ho: Psun = PMon = PTue = Pwed = PThu = PFri = PSat = H: Not all proportions are equal. O Ho: Psun * PMon * PTue * Pwed * PThu + PFri * PSat * H: All proportions are equal. Find the value of the test statistic. (Round your answer to three decimal places.) Find the p-value. (Round your answer to four decimal places.) p-value = State your conclusion. O Reject Ho. We conclude that the proportion of traffic accidents is the same for each day of the week. O Do not reject Ho. We conclude that the proportion of traffic accidents is not the same for each day of the week. O Reject Ho. We conclude that the proportion of traffic accidents is not the same for each day of the week. O Do not reject Ho. We conclude that the proportion of traffic accidents is the same for each day of the week.

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
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Problem 1P
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Question
100%
(b) Compute the percentage of traffic accidents occurring on each day of the week. (Round your answers to two decimal places.)
Sunday
%
Monday
%
Tuesday
%
Wednesday
%
Thursday
%
Friday
%
Saturday
%
What day has the highest percentage of traffic accidents?
Sunday
Monday
Tuesday
Wednesday
Thursday
Friday
Saturday
O O 0 0 0 0
Transcribed Image Text:(b) Compute the percentage of traffic accidents occurring on each day of the week. (Round your answers to two decimal places.) Sunday % Monday % Tuesday % Wednesday % Thursday % Friday % Saturday % What day has the highest percentage of traffic accidents? Sunday Monday Tuesday Wednesday Thursday Friday Saturday O O 0 0 0 0
The National Highway Traffic Safety Administration reported the percentage of traffic accidents occurring each day of the week. Assume that a sample of 420 accidents provided the following data.
Sunday
Monday
Tuesday
Wednesday
Thursday
Friday
Saturday
67
50
53
47
55
69
79
(a) Conduct a hypothesis test to determine if the proportion of traffic accidents is the same for each day of the week. Use a 0.05 level of significance.
State the null and alternative hypotheses.
Ho: Not all proportions are equal.
1
Ha: Psun = PMon = PTue = Pwed = PThu = PFri = Psat
%3D
%D
%D
7
Ho: Not all proportions are equal.
1
Ha: Psun + PMon + PTue + Pwed + PThu + PFri + PSat
Ho: Psun
PMon = PTue = Pwed
PThụ = PFri = PSat
%3D
%3D
7
H: Not all proportions are equal.
Ho: Psun + PMon + PTue + Pwed + PThu + PFri
1
PSat
H: All proportions are equal.
Find the value of the test statistic. (Round your answer to three decimal places.)
Find the p-value. (Round your answer to four decimal places.)
p-value
State your conclusion.
Reject Ho. We conclude that the proportion of traffic accidents is the same for each day of the week.
Do not reject Ho. We conclude that the proportion of traffic accidents is not the same for each day of the week.
Reject Ho. We conclude that the proportion of traffic accidents is not the same for each day of the week.
Do not reject Ho. We conclude that the proportion of traffic accidents is the same for each day of the week.
O O O
Transcribed Image Text:The National Highway Traffic Safety Administration reported the percentage of traffic accidents occurring each day of the week. Assume that a sample of 420 accidents provided the following data. Sunday Monday Tuesday Wednesday Thursday Friday Saturday 67 50 53 47 55 69 79 (a) Conduct a hypothesis test to determine if the proportion of traffic accidents is the same for each day of the week. Use a 0.05 level of significance. State the null and alternative hypotheses. Ho: Not all proportions are equal. 1 Ha: Psun = PMon = PTue = Pwed = PThu = PFri = Psat %3D %D %D 7 Ho: Not all proportions are equal. 1 Ha: Psun + PMon + PTue + Pwed + PThu + PFri + PSat Ho: Psun PMon = PTue = Pwed PThụ = PFri = PSat %3D %3D 7 H: Not all proportions are equal. Ho: Psun + PMon + PTue + Pwed + PThu + PFri 1 PSat H: All proportions are equal. Find the value of the test statistic. (Round your answer to three decimal places.) Find the p-value. (Round your answer to four decimal places.) p-value State your conclusion. Reject Ho. We conclude that the proportion of traffic accidents is the same for each day of the week. Do not reject Ho. We conclude that the proportion of traffic accidents is not the same for each day of the week. Reject Ho. We conclude that the proportion of traffic accidents is not the same for each day of the week. Do not reject Ho. We conclude that the proportion of traffic accidents is the same for each day of the week. O O O
Expert Solution
Step 1 Introduction

Chi Square test is used to test the significance difference between the sample proportions (Categorical variables)  and Population proportion and test statistic is given by 

                      χ2 =i=1k(oi-ei)2ei

Here oi is the observed frequency

        ei is the expected frequency

    and k is the number of Categorical variables

 

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