Elimination 4x+5y=-15 -3x-2y=13
1 answer:
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Answer:
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
Some Notation
represent the proportion of the news media that is Democrat
represent the proportion of the public that is Democrat
On this case the claim that they want to test is: "That a larger proportion of members of the news media are Democrats when compared to the general public". So we want to check if the population proportion p1 is higher than p2, so this needs to be on the alternative hypothesis and on the null hypothesis we need to have the complement of the alternative hypothesis.
Null hypothesis:
Or
The null hypothesis can be on this way: , but is better put the complement of the alternative hypothesis.
Alternative hypothesis:
Answer:
Step-by-step explanation:
From the problem statement, we can create the following equation:
where is the age of James,
is the age of Paul, and
is the age of Dan.
From the first part of the second sentence, we can set up the following equation:
From the last part of the second sentence, we can set up the following equation:
We can substitute the second equation into the last one to get the following:
We can then substitute the last two equations in the first to solve for :
Plugging this into the other two equations will give us the remaining ages: