Combine like termes to simplify 4x-7+7x-9
1 answer:
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Answer:
For this case we want to test if life expectancy in country 1 is more than 10 years lower than in country 2, (alternatibe hypothesis), so then the system of hypothesis are:
Null hypothesis:
Alternative hypothesis:
Or equivalently:
Null hypothesis:
Alternative hypothesis:
Step-by-step explanation:
Previous concepts
A hypothesis is defined as "a speculation or theory based on insufficient evidence that lends itself to further testing and experimentation. With further testing, a hypothesis can usually be proven true or false".
The null hypothesis is defined as "a hypothesis that says there is no statistical significance between the two variables in the hypothesis. It is the hypothesis that the researcher is trying to disprove".
The alternative hypothesis is "just the inverse, or opposite, of the null hypothesis. It is the hypothesis that researcher is trying to prove".
Solution to the problem
For this case we want to test if life expectancy in country 1 is more than 10 years lower than in country 2, (alternatibe hypothesis), so then the system of hypothesis are:
Null hypothesis:
Alternative hypothesis:
Or equivalently:
Null hypothesis:
Alternative hypothesis:
Answer:
(a) and
are indeed mutually-exclusive.
(b) , whereas
.
(c) .
(d) , whereas
Step-by-step explanation:
<h3>(a)</h3> means that it is impossible for events
and
to happen at the same time. Therefore, event
and
are mutually-exclusive.
By the definition of conditional probability:
.
Rearrange to obtain:
.
Similarly:
.
Note that:
.
In other words, and
are collectively-exhaustive. Since
and
are collectively-exhaustive and mutually-exclusive at the same time:
.
By Bayes' Theorem:
.
Similarly:
.