The average number of accidents at controlled intersections per year is 5.2. Is this average a different number for intersections with cameras installed? The 48 randomly observed intersections with cameras

MATLAB: An Introduction with Applications
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The average number of accidents at controlled intersections per year is 5.2. Is this average a different
number for intersections with cameras installed? The 48 randomly observed intersections with cameras
installed had an average of 4.2 accidents per year and the standard deviation was 1.98. What can be
concluded at the a = 0.05 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
H₁:
?✓ Select an answer ✓
c. The test statistic ? ✓
d. The p-value=
e. The p-value is ? ✓ a
f. Based on this, we should
g. Thus, the final conclusion is that ...
(please show your answer to 3 decimal places.)
(Please show your answer to 4 decimal places.)
Select an answer the null hypothesis.
O The data suggest that the population mean is not significantly different from 5.2 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 5.2 accidents.
O The data suggest that the population mean is significantly different from 5.2 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 5.2 accidents.
The data suggest that the sample mean is not significantly different from 5.2 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 4.2 accidents.
Transcribed Image Text:The average number of accidents at controlled intersections per year is 5.2. Is this average a different number for intersections with cameras installed? The 48 randomly observed intersections with cameras installed had an average of 4.2 accidents per year and the standard deviation was 1.98. What can be concluded at the a = 0.05 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 H₁: ?✓ Select an answer ✓ c. The test statistic ? ✓ d. The p-value= e. The p-value is ? ✓ a f. Based on this, we should g. Thus, the final conclusion is that ... (please show your answer to 3 decimal places.) (Please show your answer to 4 decimal places.) Select an answer the null hypothesis. O The data suggest that the population mean is not significantly different from 5.2 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 5.2 accidents. O The data suggest that the population mean is significantly different from 5.2 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 5.2 accidents. The data suggest that the sample mean is not significantly different from 5.2 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 4.2 accidents.
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