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 55 66 49 53 W Ha: Psun PMon* PTue* Pwed* PThu * PFri * Psat # 47 (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. O Ho: Not all proportions are equal. O Ho: Not all proportions are equal. Ha: Psun PMon=PTue Pwed PThu - PFri - Psat = - = O Ho: Psun PMon=PTue=Pwed=PThu = PFri = Psat H: Not all proportions are equal. 69 1 7 Find the p-value. (Round your answer to four decimal places.) p-value= 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.) 81 State your conclusion. 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. O Reject Ho. We conclude that the proportion of traffic accidents is the same for each day of th

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
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Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 4BGP
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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.
Wednesday
Wednesday Thursday
Sunday Monday Tuesday
Tuesday
66
49
53
47
Ha: Psun #PMon PTue * Pwed PThu PFri * Psat
#
#
=
O Ho: Psun = PMon=PTue = Pwed= PThu = PFri = PSat
H₂: Not all proportions are equal.
55
Ho: Not all proportions are equal.
Ha: PSun = PMon=PTue = Pwed=PThu = PFri = P Sat
7
(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.
O Ho: Not all proportions are equal.
7
Find the p-value. (Round your answer to four decimal places.)
p-value
7
Friday
#
O Ho: Psun #PMon PTue #Pwed * PThu * PFri * P Sat
H₂: All proportions are equal.
Find the value of the test statistic. (Round your answer to three decimal places.)
1/1/1
7
69
Saturday
81
→]
State your conclusion.
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.
O Reject Ho. We conclude that the proportion of traffic accidents is the same for each day of the week.
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. Wednesday Wednesday Thursday Sunday Monday Tuesday Tuesday 66 49 53 47 Ha: Psun #PMon PTue * Pwed PThu PFri * Psat # # = O Ho: Psun = PMon=PTue = Pwed= PThu = PFri = PSat H₂: Not all proportions are equal. 55 Ho: Not all proportions are equal. Ha: PSun = PMon=PTue = Pwed=PThu = PFri = P Sat 7 (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. O Ho: Not all proportions are equal. 7 Find the p-value. (Round your answer to four decimal places.) p-value 7 Friday # O Ho: Psun #PMon PTue #Pwed * PThu * PFri * P Sat H₂: All proportions are equal. Find the value of the test statistic. (Round your answer to three decimal places.) 1/1/1 7 69 Saturday 81 →] State your conclusion. 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. O Reject Ho. We conclude that the proportion of traffic accidents is the same for each day of the week.
(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
%
%
%
%
%
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 % % % % %
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