Background: To prevent crashes caused by running red lights, many states are installing cameras atdangerous intersections. These cameras are used to take photographs of the license plates of vehicles thatrun a red light. The Virginia Department of Transportation (VDOT) obtained data on the number of crashesper year caused by running a red light at 13 intersections in Fairfax County, Virginia.REDLIGHTPHOTOENFORCEDSource: Virginia Transportation Research Council, "Research Report: The Impact of Red Light Cameras(Photo-Red Enforcement) on Crashes in Virginia", June 2007Directions: Perform an appropriate significance test to determine whether or not the reduction in thenumber of crashes was statistically significant.1. Click on the Data button below to display the data. Copy the data into a statistical software packageand click the Data button a second time to hide it.DataBeforeAfter3.71.260.370.10.3904.551.692.41.942.093.242.52.720.830.243.051.673.21 0.331.08 0.181.25 0.997.255.022. Use the statistical software package to compute a numerical summary of the weight differences(difference Before - After).3. Perform the significance test.a. State the null and alternative hypothesis. Note: μ is defined as (average number of crashesbefore the cameras were installed) - (average number of crashes after the cameras wereinstalled).Ho: d=0Ha: μα < 0O Ho: Md #0Ha: μα = 0O Ho: d=0Ha: pd > 0Ho: Pd=0Ha Pa 0b. Compute the test statistic. Round your answer to 4 decimal places.c. Compute the p-value. Round your answer to 4 decimal places.d. Interpret the results of the test.O The p-value provides strong evidence against the null hypothesis. The reduction in thenumber of crashes caused by running red lights is statistically significant.O The p-value provides little evidence against the null hypothesis. The reduction in thenumber of crashes caused by running red lights is not statistically significant.

Given that: Before After 3.7 1.26 0.37 0.1 0.39 0 4.55 1.69 2.4 1.94 2.09 3.24 2.5…

Background: To prevent crashes caused by running red lights, many states are installing cameras at dangerous intersections. These cameras are used to take photographs of the license plates of vehicles that run a red light. The Virginia Department of Transportation (VDOT) obtained data on the number of crashes per year caused by running a red light at 13 intersections in Fairfax County, Virginia. Source: Virginia Transportation Research Council, "Research Report: The Impact of Red Light Cameras (Photo-Red Enforcement) on Crashes in Virginia", June 2007 Directions: Perform an appropriate significance test to determine whether or not the reduction in the number of crashes was statistically significant. 1. Click on the Data button below to display the data. Copy the data into a statistical software package and click the Data button a second time to hide it. Data Before 3.7 0.37 0.39 No RED LIGHT PHOTO ENFORCED 4.55 2.4 2.09 2.5 0.83 0.24 3.05 1.67 3.21 0.33 1.08 0.18 0.99 5.02 LLLLLL 1.25 7.25 After 1.26 0.1 0 1.69 1.94 3.24 2.72 2. Use the statistical software package to compute a numerical summary of the weight differences (difference = Before - After). 3. Perform the significance test. a. State the null and alternative hypothesis. Note: μd is defined as (average number of crashes before the cameras were installed) - (average number of crashes after the cameras were installed). Ho: d=0 Ha Hd <0 Ho Hd 0 Ha: Pd=0 Ο Ηo : μd = 0 Ha: Hd > 0 Ho: d=0 Ha: Pd #0 b. Compute the test statistic. Round your answer to 4 decimal places. c. Compute the p-value. Round your answer to 4 decimal places. d. Interpret the results of the test. O The p-value provides strong evidence against the null hypothesis. The reduction in the number of crashes caused by running red lights is statistically significant. O The p-value provides little evidence against the null hypothesis. The reduction in the number of crashes caused by running red lights is not statistically significant.

1st Edition

ISBN:9781680331141

Author:HOUGHTON MIFFLIN HARCOURT

Publisher:HOUGHTON MIFFLIN HARCOURT

Chapter9: Solving Quadratic Functions

Section: Chapter Questions

Problem 4CA