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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. 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

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

MATLAB: An Introduction with Applications
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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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 | 49 | 53 | 47 | 55 | 69 | 81 | (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: - \(H_0\): All proportions are equal. - \(H_a\): Not all proportions are equal. The specific hypotheses choices are: 1. \(H_0\): Not all proportions are equal. \(H_a\): \(p_{Sun} = p_{Mon} = p_{Tue} = p_{Wed} = p_{Thu} = p_{Fri} = p_{Sat} = \frac{1}{7}\) 2. \(H_0\): All proportions are equal. \(H_a\): \(p_{Sun} \neq p_{Mon} \neq p_{Tue} \neq p_{Wed} \neq p_{Thu} \neq p_{Fri} \neq p_{Sat} \neq \frac{1}{7}\) 3. \(H_0\): \(p_{Sun} \neq p_{Mon} \neq p_{Tue} \neq p_{Wed} \neq p_{Thu} \neq p_{Fri} \neq p_{Sat} \neq \frac{1}{7}\) \(H_a\): All proportions are equal. 4. \(H_0\): \(p_{Sun} = p_{Mon} = p_{Tue} = p_{Wed} = p_{Thu} = p_{Fri} = p_{Sat} = \frac{1}{7}\) \(H_a\): Not 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. - □ Do not reject \(H_0\). We conclude that the proportion of traffic accidents is the same for each
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 | |--------|--------|---------|-----------|----------|--------|----------| | 66 | 49 | 53 | 47 | 55 | 69 | 81 | (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: - \(H_0\): All proportions are equal. - \(H_a\): Not all proportions are equal. The specific hypotheses choices are: 1. \(H_0\): Not all proportions are equal. \(H_a\): \(p_{Sun} = p_{Mon} = p_{Tue} = p_{Wed} = p_{Thu} = p_{Fri} = p_{Sat} = \frac{1}{7}\) 2. \(H_0\): All proportions are equal. \(H_a\): \(p_{Sun} \neq p_{Mon} \neq p_{Tue} \neq p_{Wed} \neq p_{Thu} \neq p_{Fri} \neq p_{Sat} \neq \frac{1}{7}\) 3. \(H_0\): \(p_{Sun} \neq p_{Mon} \neq p_{Tue} \neq p_{Wed} \neq p_{Thu} \neq p_{Fri} \neq p_{Sat} \neq \frac{1}{7}\) \(H_a\): All proportions are equal. 4. \(H_0\): \(p_{Sun} = p_{Mon} = p_{Tue} = p_{Wed} = p_{Thu} = p_{Fri} = p_{Sat} = \frac{1}{7}\) \(H_a\): Not 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. - □ Do not reject \(H_0\). We conclude that the proportion of traffic accidents is the same for each
### Traffic Accidents by Day of the Week #### Computation Task: Calculate the percentage of traffic accidents occurring on each day of the week. Ensure that your answers are rounded to two decimal places. #### Days of the Week: - **Sunday:** [ ] % - **Monday:** [ ] % - **Tuesday:** [ ] % - **Wednesday:** [ ] % - **Thursday:** [ ] % - **Friday:** [ ] % - **Saturday:** [ ] % This task requires filling in the percentage values for each day.
Transcribed Image Text:### Traffic Accidents by Day of the Week #### Computation Task: Calculate the percentage of traffic accidents occurring on each day of the week. Ensure that your answers are rounded to two decimal places. #### Days of the Week: - **Sunday:** [ ] % - **Monday:** [ ] % - **Tuesday:** [ ] % - **Wednesday:** [ ] % - **Thursday:** [ ] % - **Friday:** [ ] % - **Saturday:** [ ] % This task requires filling in the percentage values for each day.
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