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sammy [17]
4 years ago
7

To whitch subsets does the number - the square root of 25 belong select all that apply

Mathematics
1 answer:
omeli [17]4 years ago
4 0
Sqrt 25 = 5....rational, integer, whole number, and natural
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Use the normal distribution to find a confidence interval for a proportion p given the relevant sample results. Give the best po
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Answer:

(a) The point estimate for the population proportion <em>p</em> is 0.34.

(b) The margin of error for the 99% confidence interval of population proportion <em>p</em> is 0.055.

(c) The 99% confidence interval of population proportion <em>p</em> is (0.285, 0.395).

Step-by-step explanation:

A point estimate of a parameter (population) is a distinct value used for the estimation the parameter (population). For instance, the sample mean \bar x is a point estimate of the population mean <em>μ</em>.

Similarly, the the point estimate of the population proportion of a characteristic, <em>p</em> is the sample proportion \hat p.

The (1 - <em>α</em>)% confidence interval for the population proportion <em>p</em> is:

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

The margin of error for this interval is:

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

The information provided is:

\hat p=0.34\\n=500\\(1-\alpha)\%=99\%

(a)

Compute the point estimate for the population proportion <em>p</em> as follows:

Point estimate of <em>p</em> = \hat p = 0.34

Thus, the point estimate for the population proportion <em>p</em> is 0.34.

(b)

The critical value of <em>z</em> for 99% confidence level is:

z={\alpha/2}=z_{0.01/2}=z_{0.005}=2.58

*Use a <em>z</em>-table for the value.

Compute the margin of error for the 99% confidence interval of population proportion <em>p</em> as follows:

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

          =2.58\sqrt{\frac{0.34(1-0.34)}{500}}

          =2.58\times 0.0212\\=0.055

Thus, the margin of error for the 99% confidence interval of population proportion <em>p</em> is 0.055.

(c)

Compute the 99% confidence interval of population proportion <em>p</em> as follows:

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

CI=\hat p\pm MOE

     =0.34\pm 0.055\\=(0.285, 0.395)

Thus, the 99% confidence interval of population proportion <em>p</em> is (0.285, 0.395).

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Can somebody please help me with this. 3x + 4(x+20)
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Question 16: 44 inches

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Step-by-step explanation:

<em><u>Question 16:</u></em>

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Pythagoras Theorem: c^2 = a^2 + b^2, where c is the hypotenuse and the longest side. You have to try all the possibilities. The ones that match are the lengths.

The answers are 10, 24, 26

c^2 = a^2 + b^2

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