The average number of accidents at controlled intersections peryear is 4.1. Is this average more for intersections with camerasinstalled? The 43 randomly observed intersections with camerasinstalled had an average of 4.3 accidents per year and the standarddeviation was 0.63. What can be concluded at the ?? = 0.05 level ofsignificance?

1. For this study, we should use Select an answer z-test for apopulation proportion t-test for a population mean
2. The null and alternative hypotheses would be:

H0:H0:  ? ? p  ? > = ?<       

H1:H1:  ? ? p  ? < = >?    

3. The test statistic ? z t  =  (please showyour answer to 3 decimal places.)
4. The p-value =  (Please show your answer to 4 decimalplaces.)
5. The p-value is ? > ?  ??
6. Based on this, we should Select an answer accept reject fail toreject  the null hypothesis.
7. Thus, the final conclusion is that ...
   • The data suggest that the population mean is notsignificantly more than 4.1 at ?? = 0.05, so thereis statistically insignificant evidence to conclude that thepopulation mean number of accidents per year at intersections withcameras installed is more than 4.1 accidents.
   • The data suggest that the sample mean is notsignificantly more than 4.1 at ?? = 0.05, so thereis statistically insignificant evidence to conclude that the samplemean number of accidents per year at intersections with camerasinstalled is more than 4.3 accidents.
   • The data suggest that the populaton mean issignificantly more than 4.1 at ?? = 0.05, so thereis statistically significant evidence to conclude that thepopulation mean number of accidents per year at intersections withcameras installed is more than 4.1 accidents.
8. Interpret the p-value in the context of the study.
   • If the population mean number of accidents per year atintersections with cameras installed is 4.1 and if another 43intersections with cameras installed are observed then there wouldbe a 2.17496463% chance that the population mean number ofaccidents per year at intersections with cameras installed would begreater than 4.1.
   • If the population mean number of accidents per year atintersections with cameras installed is 4.1 and if another 43intersections with cameras installed are observed then there wouldbe a 2.17496463% chance that the sample mean for these 43intersections with cameras installed would be greater than4.3.
   • There is a 2.17496463% chance that the population mean numberof accidents per year at intersections with cameras installed isgreater than 4.1 .
   • There is a 2.17496463% chance of a Type I error.
9. Interpret the level of significance in the context of thestudy.
   • There is a 5% chance that the population mean number ofaccidents per year at intersections with cameras installed is morethan 4.1.
   • If the population mean number of accidents per year atintersections with cameras installed is 4.1 and if another 43intersections with cameras installed are observed then there wouldbe a 5% chance that we would end up falsely concluding that thepopulation mean number of accidents per year at intersections withcameras installed is more than 4.1.
   • If the population population mean number of accidents per yearat intersections with cameras installed is more than 4.1 and ifanother 43 intersections with cameras installed are observed thenthere would be a 5% chance that we would end up falsely concludingthat the population mean number of accidents per year atintersections with cameras installed is equal to 4.1.
   • There is a 5% chance that you will get in a car accident, soplease wear a seat belt.