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SVEN [57.7K]
3 years ago
14

Need help with task! Show work if possible~~

Mathematics
1 answer:
Inessa [10]3 years ago
6 0

Answer:

Please see attached picture for full solution.

Sorry, I'm not sure how to do Q7 :(

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A pew research Center project on the state of news media showed that the clearest pattern of news audience growth in 2012 came o
KengaRu [80]

Answer:

Step-by-step explanation:

Given that:

the sample proportion p = 0.39

sample size = 100

Then np = 39

Using normal approximation

The sampling distribution from the sample proportion is approximately normal.

Thus, mean \mu _{\hat p} = p = 0.39

The standard deviation;

\sigma = \sqrt{\dfrac{p(1-p)}{n} }

\sigma = \sqrt{\dfrac{0.39(1-0.39)}{100} }

\sigma = 0.048

The test statistics can be computed as:

Z = \dfrac{{\hat _{p}} - \mu_{_ {\hat p}} }{\sigma_{\hat p}}

Z = \dfrac{0.3 - 0.39 }{0.0488}

Z = -1. 8 4

From the z - tables;

P (\hat p \le 0.3 ) = P(z \le -1.84)

\mathbf{P (\hat p \le 0.3 ) = 0.0329}

(b)

Here;

the sample proportion = 0.39

the sample size n = 400

Since np = 400 * 0.39 = 156

Thus, using normal approximation.

From the sample proportion, the sampling distribution is approximate to the mean \mu_{\hat p} =  p = 0.39

the standard deviation \sigma_{\hat p} = \sqrt{\dfrac{p(1-p)}{n} }

\sigma_{\hat p} = \sqrt{\dfrac{0.39 (1-0.39)}{400} }

\sigma_{\hat p} =0.0244

The test statistics can be computed as:

Z = \dfrac{{\hat _{p}} - \mu_{_ {\hat p}} }{\sigma_{\hat p}}

Z = \dfrac{0.3 - 0.39 }{0.0244}

Z = -3.69

From the z - tables;

P (\hat p \le 0.3 ) = P(z \le -3.69)

\mathbf{P (\hat p \le 0.3 ) = 0.0001}

(c) The effect of the sample size on the sampling distribution is that:

As sample size builds up, the standard deviation of the sampling distribution decreases.

In addition to that, reduction in the standard deviation resulted in increases in the Z score, and the probability of having a sample proportion  that is less than 30% also decreases.

6 0
3 years ago
Which choice answer is it
fomenos

Answer:

choice 1

Step-by-step explanation:

Given

V = πr²h ( isolate r² by dividing both sides by πh )

\frac{V}{\pi h} = r² ( take the square root of both sides )

\sqrt{\frac{V}{\pi h} } = r ← the positive value of r

6 0
3 years ago
10 POINTS<br> FIND THE EXACT VALUES OF cos theta/2 and tan theta/2
alexandr1967 [171]
The point is not know I can’t tell u
7 0
2 years ago
PLEASE HELP!! asap!!
spin [16.1K]

Answer:

The third one from left to right

Step-by-step explanation:

Just check that when x = 11

y= -\sqrt[3]{11-3}+4=-2+4=2

So the graph passes through the point (11,2)

7 0
3 years ago
Read 2 more answers
How does finding the square root of a number compare to finding the cube root of a number? Use the number 64 in your explanation
lakkis [162]
In order to find the square root, we must find a number that when multiplied by itself one time, it produces the number under consideration.
In the case of 64, the square root is 8 because 8 multiplied once by itself is 64.

However, when finding the cube root, the root must multiply by itself two times and make the number. 
In the case of 64, 4 multiplied by itself two times is 64.
3 0
3 years ago
Read 2 more answers
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