What is this answer to <br> 12 1/2 of 240kg

6.Suppose the Gallup Organization wants to estimate the population proportion of those who think there should be a law that woul

drek231 [11]

Answer:

A sample of $n = (\frac{1.96\sqrt{0.3696*0.6304}}{E})^2$ is needed, in which E is the desired margin of error, as a proportion. If we find a decimal value, we round up to the next whole number.

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of $\pi$ , and a confidence level of $1-\alpha$ , we have the following confidence interval of proportions.

$\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}$

In which

z is the zscore that has a pvalue of $1 - \frac{\alpha}{2}$ .

The margin of error is of:

$M = z\sqrt{\frac{\pi(1-\pi)}{n}}$

In a previous study of 1012 randomly chosen respondents, 374 said that there should be such a law.

This means that $n = 1012, \pi = \frac{374}{1012} = 0.3696$

95% confidence level

So $\alpha = 0.05$ , z is the value of Z that has a pvalue of $1 - \frac{0.05}{2} = 0.975$ , so $Z = 1.96$ .

How large a sample size is needed to be 95% confident with a margin of error of E?

A sample size of n is needed, and n is found when M = E.

$M = z\sqrt{\frac{\pi(1-\pi)}{n}}$

$E = 1.96\sqrt{\frac{0.3696*0.6304}{n}}$

$E\sqrt{n} = 1.96\sqrt{0.3696*0.6304}$

$\sqrt{n} = \frac{1.96\sqrt{0.3696*0.6304}}{E}$

$(\sqrt{n})^2 = (\frac{1.96\sqrt{0.3696*0.6304}}{E})^2$

$n = (\frac{1.96\sqrt{0.3696*0.6304}}{E})^2$

A sample of $n = (\frac{1.96\sqrt{0.3696*0.6304}}{E})^2$ is needed, in which E is the desired margin of error, as a proportion. If we find a decimal value, we round up to the next whole number.

4 0

3 years ago

Need help<br> Pleaseeeee

fomenos

Answer:

164 m^2

Step-by-step explanation:

You can think of the shaded area in different ways. One of the ways is the entire outer colored rectangle minus the area of the small white rectangle inside.

The large colored rectangle is 12 m by 15 m.

The inner rectangle is 8 m tall. The width is 12 m - 5 m - 5 m = 2 m

A = 12 m * 15 m - 2 m * 8 m

A = 180 m^2 - 16 m^2

A = 164 m^2

4 0

3 years ago

Read 2 more answers

If sin =1/2then show that 3cos -4cos^3=0z

Katarina [22]

Step-by-step explanation:

ever coner should have a value.... for example sinA or cos$

please check the question again

7 0

3 years ago

Passes through (-2,2), Parallel to a line whose slope is -1.

Lyrx [107]

Answer:

.

Step-by-step explanation:

4 0

3 years ago

<img src="https://tex.z-dn.net/?f=6%20%5Ctimes%20x%20%3D%20%20-%2024" id="TexFormula1" title="6 \times x = - 24" alt="6 \times

Finger [1]

The missing number is 4

8 0

4 years ago

What is this answer to 12 1/2 of 240kg