Number of Accidents B ID G before 17 4 19 10 after 3 4 2 The decision and the conclusion for the above case as well as test statistic (TS) and critical values( CV) at 0.01 level respectively are: Select one: a. Do not reject Ho. There mean number of accidents has not been reduced because 2.5<2.998. b. Do not reject Ho. There mean number of accidents has not been reduced because 2.415 < 2.998. C. Reject Ho. There mean number of accidents has been reduced because -2.415 > -2.998. d.Reject Ho. There mean number of accidents has been reduced because 2.896 > 2.415. e. Do not reject Ho. There mean number of accidents has not been reduced because 2.998 < 3.499.
Addition Rule of Probability
It simply refers to the likelihood of an event taking place whenever the occurrence of an event is uncertain. The probability of a single event can be calculated by dividing the number of successful trials of that event by the total number of trials.
Expected Value
When a large number of trials are performed for any random variable ‘X’, the predicted result is most likely the mean of all the outcomes for the random variable and it is known as expected value also known as expectation. The expected value, also known as the expectation, is denoted by: E(X).
Probability Distributions
Understanding probability is necessary to know the probability distributions. In statistics, probability is how the uncertainty of an event is measured. This event can be anything. The most common examples include tossing a coin, rolling a die, or choosing a card. Each of these events has multiple possibilities. Every such possibility is measured with the help of probability. To be more precise, the probability is used for calculating the occurrence of events that may or may not happen. Probability does not give sure results. Unless the probability of any event is 1, the different outcomes may or may not happen in real life, regardless of how less or how more their probability is.
Basic Probability
The simple definition of probability it is a chance of the occurrence of an event. It is defined in numerical form and the probability value is between 0 to 1. The probability value 0 indicates that there is no chance of that event occurring and the probability value 1 indicates that the event will occur. Sum of the probability value must be 1. The probability value is never a negative number. If it happens, then recheck the calculation.
![A number of minor automobile accidents occur at various high-risk intersections in Teton County despite traffic lights. The Traffic Department claims that a
modification in the type of light will reduce these accidents. The county commissioners have agreed to a proposed experiment. Eight intersections were chosen at
random, and the lights at those intersections were modified. The numbers of minor accidents during a six-month period before and after the modifications were:
Number of Accidents
A
E
G
before
15
17
16
4
18
9
18
10
lafter
3
7
14
6
8
2
The decision and the conclusion for the above case as well as test statistic (TS) and critical values( CV) at 0.01 level respectively are:
Select one:
a. Do not reject Ho. There mean number of accidents has not been reduced because 2.5 < 2.998.
b. Do not reject Ho. There mean number of accidents has not been reduced because 2.415 < 2.998.
c. Reject Ho. There mean number of accidents has been reduced because
-2.415 >-2.998.
d.Reject Ho. There mean number of accidents has been reduced because 2.896 > 2.415.
e. Do not reject Ho. There mean number of accidents has not been reduced because 2.998 < 3.499.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fde1da679-b360-4712-b298-5c18be8f5c44%2F5cb31531-6c25-4e51-aa2e-5841c90f6dc3%2F6052ws_processed.png&w=3840&q=75)
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