Test Statistic X - (Round to three decimal places.) P-value = |(Round to four decimal places.) Decision: Select an answer Conclusion: There Select an answer | significant evidence to conclude that Select an answer ♥ and Select an answer v are Select an answer
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.
![Enter the critical values, along with the significance level and degrees of freedom x(a,df) below the
graph. (Graph is for illustration only. No need to shade.)
X2- Distribution
0.12
0.1
0.08
0.06
0.04
0.02
Test Statistic X =
(Round to three decimal places.)
P-value =
(Round to four decimal places.)
Decision: Select an answer v
Conclusion:
There Select an answer v significant evidence to conclude that Select an answer v and
Select an answer v
are Select an answer v
Probability
73
103
60T
127
133](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F8484936c-d131-41d3-847f-811cbd71a7e6%2Fb6b8d696-d328-4a3d-befb-8a8c7a4ea61b%2F4ih29yg_processed.png&w=3840&q=75)
![In one city male and female voters were asked about their opinion on an
environmental bond issue. Is there good evidence that one's gender influences
whether a person is for or against the bond issue? A contingency table summarizing
the opinions by gender is provided below. Does the data provide enough evidence
to show that there is an association between gender and their opinion regarding a
bond issue? Test at the 2% level and round expected values to one decimal place.
VOTE
VOTE
For
Against
(Observed)
Against
(Expected
Value)
For
Row
(Expected
Value)
Gender
(Observed)
Total
Male
54
421
475
Female
91
421
512
Column
145
842
987
Total
H: Hypotheses
Ho: Select an answer
and Select an answer
are Select an answer
Ha: Select an answer
and Select an answer
are Select an answer
Original Claim: [Select an answer](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F8484936c-d131-41d3-847f-811cbd71a7e6%2Fb6b8d696-d328-4a3d-befb-8a8c7a4ea61b%2Fkrg4z0e_processed.png&w=3840&q=75)
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