Help me, please!

Mathematics

1 answer:

vovangra [49]3 years ago

3 0

Answer:

<h2>Yes, the circumference will always double when the radius is doubled</h2>

Simple Explanation: For example, 2 is the given radius, we can double 2 and get 4 as our diameter, then times pi. We get 4 pi as our initial circumference.

When we double the radius, we have a given radius of 4, and to find the diameter we get 8. 8 times pi= 8 pi. This is the simple version of the below example

Full Example:

Radius - 3

Pretend the radius is 3, do 3*2 and get the diameter of 6, then times 3.14 equals 18.84. So the current circumference is 18.84.

Now to find the new circumference. Now the radius is 6. To find the diameter we can do 6*2 and get 12. Now to find circumference; 12 x 3.14 = 37.68. 37.68 / 18.84 = 2

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Answer:

Null hypothesis: $p_1 -p_2 =0$ ,

Alternative hypothesis: $p_1 -p_2 > 0$

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

$p_1$ represent the proportion of the news media that is Democrat

$p_2$ 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: $p_1 \leq p_2$