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The National Highvay Traffic Safety Administration reported the percentage of traffic accidents occumring each day of the week. Assume that a sample of 420 accidents provided the following data. Sunday Monday Tuesday Wednesday Thursday Friday Saturday 50 66 53 48 55 69 79 (0) 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,: Psun - Pran PWed "Prhu H: Not all proportions are equal. O H,: Not all proportions are equal. H: Psun " Pron " Prue " Pwed " Prhu " Prn Psat"7 O H,: Not all proportions are equal. Hi Psun * Pton * Prue * Pwed * Prnu * Pen* Pat O H,i Pun * Proen Prue " Pwed * Pthu H: All proportions are equal. Find the value of the test statistic. (Round your ansver to three decimal places.) Find the prvalue. (Round your answer to four decimal places.) prvalue = 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 Raject H. We conclude that the proportion of traffic accidents is not the same for each day of the vweek. 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 unday O Monday O Tuesday O Wednesday O Thursday O Friday O Saturday

The National Highvay Traffic Safety Administration reported the percentage of traffic accidents occumring each day of the week. Assume that a sample of 420 accidents provided the following data. Sunday Monday Tuesday Wednesday Thursday Friday Saturday 50 66 53 48 55 69 79 (0) 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,: Psun - Pran PWed "Prhu H: Not all proportions are equal. O H,: Not all proportions are equal. H: Psun " Pron " Prue " Pwed " Prhu " Prn Psat"7 O H,: Not all proportions are equal. Hi Psun * Pton * Prue * Pwed * Prnu * Pen* Pat O H,i Pun * Proen Prue " Pwed * Pthu H: All proportions are equal. Find the value of the test statistic. (Round your ansver to three decimal places.) Find the prvalue. (Round your answer to four decimal places.) prvalue = 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 Raject H. We conclude that the proportion of traffic accidents is not the same for each day of the vweek. 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 unday O Monday O Tuesday O Wednesday O Thursday O Friday O Saturday

Calculus For The Life Sciences
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter12: Probability
Section12.4: Discrete Random Variables; Applications To Decision Making
Problem 10E
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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
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
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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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