Hypothesis test for a single population mean.
u- lD'q'UL" \"\" "'5 The average number of accidents at controlled intersections per year is 5.8. number for intersections with cameras installed? The 47 randomly observed 1' installed had an average of 5.7 accidents per year and the standard deviatio concluded at the o = 0.10 level of significance? Is this average a different ntersections with cameras n was 1.7. What can be a. For this study, we should use Select an answer V b. The null and alternative hypotheses would be: Ho: ? ' Select an answer ' H1: ? ' Select an answer ' c. The test statistic 7 v = (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 ? v a 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 different from 5.8 at a = 0.10, 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 5.7 accidents. The data suggest that the populaton mean is significantly different from 5.8 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 different from 5.8 accidents. The data suggest that the population mean is not significantly different from 5.8 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 different from 5.8 accidents. h. Interpret the p-value in the context of the study. There is a 683615216476 chance of a Type | error. if the population mean number of accidents per year at intersections with cameras installed is 5.8 and if another 47 intersections with cameras installed are observed then there would be a 68.86152164% chance that the population mean would either be less than 5.7 or greater than 5.9. If the population mean number of accidents per year at intersections with cameras installed is 5.8 and if another 47 intersections with cameras installed are observed then there would be a 68.86152164% chance that the sample mean for these 47 intersections with cameras installed would either be less than 5.7 or greater than 5.9. There is a 683615216496 chance that the population mean number of accidents per year at intersections with cameras installed is not equal to 5.8. i. interpret the level of significance in the context of the study. There is a 10% chance that the population mean number of accidents per year at intersections with cameras installed is different from 5.8. i ' If the population population mean number of accidents per year at intersections with 'l '2, cameras installed is different from 5.8 and if another 47 intersections With cameras .m' ' ll d are observed then there would be a 10% chance that we would end up_ falsely '1' ' ' 1C ud' ' 't the population mean number of acadents per year at Intersections With 39.5 5 equal to 5 8
