Traffic department wants to know if automobile accident is a very serious problem in New York compared to other districts in US. Nine intersections in New York have been chosen at random. The number of accidents at those intersections has been recorded for three months. The average number of accidents at an intersection in US in the past three months is 3. The number of accidents at the chosen intersections in New York: A B C D E F G H I 6 8 7 4 8 7 7 11 5 Calculate the mean number of accidents in New York Calculate the sample standard deviation for the number of accidents in New York State the null hypothesis if traffic department wants to test whether automobile accident is a very serious problem in New York compared to other districts in US Continue from part c, state the corresponding alternative hypothesis of the test Continue from part c, calculate the test statistics of the test Continue from part e, what is the critical value of the test if the significant level is 5%? According to the test, is automobile accident a very serious problem in New York compared to other districts in US?
Contingency Table
A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.
Binomial Distribution
Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.
Traffic department wants to know if automobile accident is a very serious problem in New York compared to other districts in US. Nine intersections in New York have been chosen at random. The number of accidents at those intersections has been recorded for three months. The average number of accidents at an intersection in US in the past three months is 3.
The number of accidents at the chosen intersections in New York:
|
A |
B |
C |
D |
E |
F |
G |
H |
I |
|
6 |
8 |
7 |
4 |
8 |
7 |
7 |
11 |
5 |
- Calculate the mean number of accidents in New York
- Calculate the sample standard deviation for the number of accidents in New York
- State the null hypothesis if traffic department wants to test whether automobile accident is a very serious problem in New York compared to other districts in US
- Continue from part c, state the corresponding alternative hypothesis of the test
- Continue from part c, calculate the test statistics of the test
- Continue from part e, what is the critical value of the test if the significant level is 5%?
- According to the test, is automobile accident a very serious problem in New York compared to other districts in US?
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