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The average number of accidents at controlled intersections per year is 4.6. Is this average less for intersections with cameras installed? The 61 randomly observed
The average number of accidents at controlled intersections per year is 4.6. Is this average less for intersections with cameras installed? The 61 randomly observed intersections with cameras installed had an average of 4.5 accidents per year and the standard deviation was 1.51. What can be concluded at the a = 0. 10 level of significance? a. For this study, we should use | Select an answer b. The null and alternative hypotheses would be: Ho: ? Select an answer v H1 7 v Select an answer v c. The test statistic ? vc (please show your answer to 3 decimal places.) d. The p-value = (Please show your answer to 4 decimal places.) e. The p-value is ? f. Based on this, we should Select an answer ~ | the null hypothesis. g. Thus, the final conclusion is that ... The data suggest that the sample mean is not significantly less than 4.6 at @ = 0. 10, so there is statis insignificant evidence to conclude that the sample mean number of accidents per year tersections with cameras installed is less than 4 5 accidents. The data suggest that the population mean is significantly less than 4.6 at a- 0. 10, so there is statistically significant evidence to conclude that the population mean number of accidents per year at intersections with cameras installed is less than 4.6 accidents. The data suggest that the population mean is not significantly less than 4.6 at a - 0.10, so there is statistically insignificant evidence to conclude that the population mean number of accidents per year at intersections with cameras installed is less than 4.6 accidents. h. Interpret the p-value in the context of the study If the population mean number of accidents per year at intersections with cameras installed is 4.6 and if another 6 1 intersections with cameras installed are observed then there would be a 30.34468529% chance that the sample mean for these 6 1 intersections with cameras installed would be less than 4.5
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