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 Saturday66505347556980(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 H,: Not all proportions are equal.H: Psun = PMon = PTue = Pwed = PThu = PFri = PSat =O Ho: PSun * PMon * PTue * Pwed * PThu * Peri * PsatH: All proportions are equal.O Ho: PSun = PMon = PTue = Pwed = PThu = PFri = PSat ==%3D%3!H: Not all proportions are equal.H: Not all proportions are equal.H: Psun * PMoon * PTue Pwed + PThu * Per PsatFind the value of the test statistic. (Round your answer to three decimal places.)14.334Find the p-value. (Round your answer to four decimal places.)p-value = 14.334State your conclusion.O Reject H. We conclude that the proportion of traffic accidents is not the same for each day of the week.O Do not reject H.. We conclude that the proportion of traffic accidents is the same for each day of the week.O Reject H,. We conclude that the proportion of traffic accidents is the same for each day of the week.O Do not reject H. We conclude that the proportion of traffic accidents is not 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%MondayTuesday%Wednesday%Thursday%Friday%Saturday%

Given n = 7 Null Hypothesis : Proportion of traffic accidents is same for each day of the week…

Find the value of the test statistic. (Round your answer to three decimal places.) 14.334 Find the p-value. (Round your answer to four decimal places.) p-value - 14.334 State your conclusion. 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 Hg. We conclude that the proportion of traffic accidents is the same for each day of the week. O Reject H,. 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.

Find the value of the test statistic. (Round your answer to three decimal places.) 14.334 Find the p-value. (Round your answer to four decimal places.) p-value - 14.334 State your conclusion. 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 Hg. We conclude that the proportion of traffic accidents is the same for each day of the week. O Reject H,. 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.

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Question

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
66
50
53
47
55
69
80
(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 H,: Not all proportions are equal.
H: Psun = PMon = PTue = Pwed = PThu = PFri = PSat =
O Ho: PSun * PMon * PTue * Pwed * PThu * Peri * Psat
H: All proportions are equal.
O Ho: PSun = PMon = PTue = Pwed = PThu = PFri = PSat ==
%3D
%3!
H: Not all proportions are equal.
H: Not all proportions are equal.
H: Psun * PMoon * PTue Pwed + PThu * Per Psat
Find the value of the test statistic. (Round your answer to three decimal places.)
14.334
Find the p-value. (Round your answer to four decimal places.)
p-value = 14.334
State your conclusion.
O Reject H. We conclude that the proportion of traffic accidents is not the same for each day of the week.
O Do not reject H.. We conclude that the proportion of traffic accidents is the same for each day of the week.
O Reject H,. We conclude that the proportion of traffic accidents is the same for each day of the week.
O Do not reject H. We conclude that the proportion of traffic accidents is not 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
%

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