MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
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The National Highway Traffic Safety Administration reported the percentage of traffic accidents occuring each day of the week. Assume that a sample of 420 accidents provided the following data.
Saturday
Sunday Monday Tuesday Wednesday Thursday Friday
53
48
55
69
79
66
50
(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.
= Pwed
= p.
Sat
= Pen
O H: Psun
Not all proportions are equal.
- PMan P
Tue
Thu
H
O H,: Not all proportions are equal.
= Pwed
s Psat7
1
%3D
H: Psun PMon Prue
Prhu
s Peri
O H,: Not all proportions are equal.
%3D
H: Psun * PMon* Prue
Wed
PThu
Sat
O H,: Psun * PMon * Prue * Pwed
* Prhu * Pr
Fri
Sat
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 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 the same for each day of the week.
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 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
What day has the highest percentage of traffic accidents?
O Sunday
O Monday
O Tuesday
O Wednesday
O Thursday
O Friday
O Saturday
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Transcribed Image Text:The National Highway Traffic Safety Administration reported the percentage of traffic accidents occuring each day of the week. Assume that a sample of 420 accidents provided the following data. Saturday Sunday Monday Tuesday Wednesday Thursday Friday 53 48 55 69 79 66 50 (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. = Pwed = p. Sat = Pen O H: Psun Not all proportions are equal. - PMan P Tue Thu H O H,: Not all proportions are equal. = Pwed s Psat7 1 %3D H: Psun PMon Prue Prhu s Peri O H,: Not all proportions are equal. %3D H: Psun * PMon* Prue Wed PThu Sat O H,: Psun * PMon * Prue * Pwed * Prhu * Pr Fri Sat 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 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 the same for each day of the week. 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 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 What day has the highest percentage of traffic accidents? O Sunday O Monday O Tuesday O Wednesday O Thursday O Friday O Saturday
Expert Solution
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Step 1

Introduction:

Denote pSun, pMon, pTue, pWed, pThu, pFri, and pSat as the true proportions of traffic accidents on the seven days of the week, respectively.

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