The average number of accidents at controlled intersections per year is 4.9. Is this average a different number for intersections with cameras installed? The 67 randomly observed intersections with cameras installed had an average of 5 accidents per year and the standard deviation was 1.01. What can be concluded at the a= 0.05 level of significance? a. For this study, we should use t-test for a population mean V b. The null and alternative hypotheses would be: Ho: uv = H₁: pv # V 4.9 V 4.9 c. The test statistic t = 0.810 d. The p-value = e. The p-value is ? a f. Based on this, we should Select an answer the null hypothesis. g. Thus, the final conclusion is that ... (please show your answer to 3 decimal places.) (Please show your answer to 4 decimal places.) The data suggest that the population mean is not significantly different from 4.9 at a = 0.05, so there is statistically insignificant evidence to conclude that the population mean number of accidents per year at intersections with cameras installed is different from 4.9 accidents. O The data suggest that the sample mean is not significantly different from 4.9 at a = 0.05, so there is statistically insignificant evidence to conclude that the sample mean number of accidents per year at intersections with cameras installed is different from 5 accidents. O The data suggest that the populaton mean is significantly different from 4.9 at a = 0.05, so there is statistically significant evidence to conclude that the population mean number of accidents per year at intersections with cameras installed is different from 4.9 accidents. h. Interpret the p-value in the context of the study. O If the population mean number of accidents per year at intersections with cameras installed is 4.9 and if another 67 intersections with cameras installed are observed then there would be a 42.06051934% chance that the population mean would either be less than 5 or greater than 5. O There is a 42.06051934% chance that the population mean number of accidents per year at intersections with cameras installed is not equal to 4.9. O If the population mean number of accidents per year at intersections with cameras installed is 4.9 and if another 67 intersections with cameras installed are observed then there would be a 42.06051934% chance that the sample mean for these 67 intersections with cameras installed would either be less than 5 or greater than 5. O There is a 42.06051934 % chance of a Type I error. i. Interpret the level of significance in the context of the study. If the population population mean number of accidents per year at intersections with cameras installed is different from 4.9 and if another 67 intersections with cameras installed are observed then there would be a 5% chance that we would end up falsely concluding that the population mean number of accidents per year at intersections with cameras installed is equal to 4.9. O There is a 5% chance that you will get in a car accident, so please wear a seat belt. O There is a 5% chance that the population mean number of accidents per year at intersections with cameras installed is different from 4.9. O If the population mean number of accidents per year at intersections with cameras installed is 4.9 and if another 67 intersections with cameras installed are observed then there would be a 5% chance that we would end up falsely concluding that the population mean number of accidents per year at intersections with cameras installed is different from 4.9.