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dsp73
3 years ago
9

Help me please I need help on this question

Mathematics
1 answer:
Elena L [17]3 years ago
8 0
The answer would be the 3rd choice because this is a translation
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Determine the sample size needed to construct a 90% confidence interval to estimate the population proportion when p = 0.65 and
WINSTONCH [101]

Answer:

n=170

Step-by-step explanation:

1) Notation and definitions

n random sample taken (variable of interest)

\hat p=0.65 estimated proportion.

p true population

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".  

The population proportion have the following distribution

p \sim N(p,\sqrt{\frac{\hat p(1-\hat 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:

z_{\alpha/2}=\pm 1.64

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 0.06 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)  

And replacing into equation (b) the values from part a we got:

n=\frac{0.65(1-0.65)}{(\frac{0.06}{1.64})^2}=169.968  

And rounded up we have that n=170

6 0
3 years ago
Look at this set of ordered pairs:
jeka57 [31]

Answer:

  • No

Step-by-step explanation:

<u>Given ordered pairs:</u>

  • (3, -13)
  • (3, 2)
  • (18,-5)

There is a repeat of domains (3) with different range (-13 and 2) but the function can't have repeat domains so it is not a function

4 0
3 years ago
Read 2 more answers
2x=5 what do we divide by?
larisa [96]
We divide by 2 on both sides.

We get the final answer as

x = 5/2 = 2.5
8 0
3 years ago
Read 2 more answers
Translate: twice the sum of a number and 9 equals 7 into an equation
Ghella [55]
equals\ 7\to=7\\sum\ of\ a\ number\ and\ 9\to n+9\ (n-the\ number)\\twice\ the\ sum\ ...\to2(n+9)\\\\Answer:\boxed{2(n+9)=7}\\\\solution:\\\\2(n+9)=7\ \ \ \ |divide\ both\ sides\ by\ 2\\n+9=3.5\ \ \ \ |subtract\ 9\ from\ both\ sides\\\boxed{n=-5.5}
4 0
3 years ago
7. Write an equation for the line that is parallel to the given line and that passes through the given point.
Vlad1618 [11]

Answer:

C. y = 1/2x - 14

Step-by-step explanation:

Find the slope of the original line and use the point-slope formula  y − y 1 = m ( x − x 1 )  to find the line parallel to  y = 1 /2 x − 8 .

y = 1 /2 x − 14                              PARALLEL

...................................................................................................................................................

Find the negative reciprocal of the slope of the original line and use the point-slope formula  y − y 1 = m ( x − x 1 )  to find the line perpendicular to  y = 1 /2 x − 8 .

y = − 2 x − 29                               PERPENDICULAR

8 0
2 years ago
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