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Tanya [424]
4 years ago
6

Help please best answer

Mathematics
1 answer:
Anni [7]4 years ago
5 0

Hey!

Hope this helps...

~~~~~~~~~~~~~~~~~~~~~~~~~

When looking at this graph we see 2 things:

(1) How they made the graph, looks awful, anyway...

(2) They practically give you the answer...

When finding an answer to a question like this, you want to use a formula (like this):

A = t * p  (where A is the amount of people, t is total amount of people, and p is percent of people / 100)...

So... we fill in the givens...

We know t = 400, and (by looking at the graph) we see that p is around 0.10 and 0.15.  So for our sake we'll make p = 0.13 (about halfway)...

A = 400 * 0.13

A ~ 52

The answer is: About 52 people bought 20 items...

And because we got 52, and 52 is close to 54...

<em>The Answer: B.) 54</em>

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Answer:

n=\frac{0.5(1-0.5)}{(\frac{0.04}{1.64})^2}=420.25  

And rounded up we have that n=421

Step-by-step explanation:

We know that the sample proportion have the following distribution:

\hat p \sim N(p,\sqrt{\frac{p(1-p)}{n}})

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 90% of confidence, our significance level would be given by \alpha=1-0.90=0.1 and \alpha/2 =0.05. And the critical value would be given by:

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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 0.04 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 that a prior estimation for p would be \hat p =0.5 since we don't have any other info provided. And replacing into equation (b) the values from part a we got:

n=\frac{0.5(1-0.5)}{(\frac{0.04}{1.64})^2}=420.25  

And rounded up we have that n=421

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