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harina [27]
3 years ago
6

Anyone help with this??

Mathematics
1 answer:
Brut [27]3 years ago
8 0

Answer:

bottom 2 shapes

Step-by-step explanation:

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You wish to compute the 99% confidence interval for the population proportion. How large a sample should you draw to ensure that
Nataly_w [17]

Answer:

n=\frac{0.5(1-0.5)}{(\frac{0.13}{2.58})^2}=98.47  

And rounded up we have that n=99

Step-by-step explanation:

Previous concepts

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".  

The margin of error is the range of values below and above the sample statistic in a confidence interval.  

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".  

Solution to the problem

In order to find the critical value we need to take in count that we are finding the interval for a proportion, so on this case we need to use the z distribution. Since our interval is at 99% of confidence, our significance level would be given by \alpha=1-0.99=0.01 and \alpha/2 =0.005. And the critical value would be given by:

z_{\alpha/2}=-2.58, t_{1-\alpha/2}=2.58

The margin of error for the proportion interval is given by this formula:  

ME=z_{\alpha/2}\sqrt{\frac{\hat p (1-\hat p)}{n}}    (a)  

And on this case we have that ME =\pm 0.13 and we are interested in order to find the value of n, if we solve n from equation (a) we got:  

n=\frac{\hat p (1-\hat p)}{(\frac{ME}{z})^2}   (b)  

We assume the value for \hat p =0.5 since we don't have previous info. And replacing into equation (b) the values from part a we got:

n=\frac{0.5(1-0.5)}{(\frac{0.13}{2.58})^2}=98.47  

And rounded up we have that n=99

4 0
3 years ago
Read 2 more answers
Someone please help me with this question please
arsen [322]

Answer:

First option

Step-by-step explanation:

Formula of perimeter =

Length + Length + Breadth + Breadth

So,

4x + 8 + 4x + 8 = 8x + 16

8x + 16 + 2x - 3 + 2x - 3 = 12x + 10

5 0
3 years ago
Read 2 more answers
It is recommended that you use 3.75 pound of fertilizer to cover 1,200 square feet. How much space can you cover with a 1-pound
uysha [10]

Answer:

320 square feet

Step-by-step explanation:

To find the space you can cover with 1-pound bag of fertilizer, we need to divide 1,200 by 3.75. It makes things easier to think of how 3.75 ÷ 3.75 = 1. Anyways, 1,200 ÷ 3.75 = 320. Therefore, you can cover 320 square feet with a 1-pound bag of fertilizer.

4 0
2 years ago
What is the value of x?
andrew11 [14]
Hope this will help you .

answer is 68

given than 2 sides are equal therefor 2 angles are also equal ,

so, angle 1 + angle2 + angleX = 180 [ASP]

2angle1 + angle X = 180
angle x = 150 - [56][2]
angle x = 180-112

ANGLE x = 68 DEGREE
MARK IT BRAINIEST IF IT WAS REALLY HELPFUL.
4 0
3 years ago
6) The length of a rectangle is 2 inches more than twice its width. Write an
34kurt

Answer:

2w + 2

Step-by-step explanation:

Width = w

Twice its width  = 2*w =2w

2 inches more than twice its width = 2w + 2

Length = 2w + 2

5 0
3 years ago
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