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Andreas93 [3]
3 years ago
9

n a study of cell phone use and brain hemispheric​ dominance, an Internet survey was​ e-mailed to 2472 subjects randomly selecte

d from an online group involved with ears. 1022 surveys were returned. Construct a 99​% confidence interval for the proportion of returned surveys.
Mathematics
1 answer:
Leona [35]3 years ago
5 0

Answer:

0.3876<p<0.4389

Step-by-step explanation:

-Given n=2472, \ x=1022 , \ CI=0.99

-We calculate the proportion of surveys returned:

\hat p=\frac{1022}{2472}\\\\=0.4134

For a 99% confidence interval:

z_{\alpha/2}=2.576

#The margin of error is calculated as;

ME=z_{0.005}\times \sqrt{\frac{\hat p(1-\hat p)}{n}}\\\\=2.576\times \sqrt{\frac{0.4134(1-0.4134)}{2472}}\\\\=0.0255

The confidence interval are then:

CI=\hat p\pm ME\\\\=0.4134\pm 0.0255\\\\=[0.3876,0.4389]

Hence, the confidence interval is 0.3876<p<0.4389

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The claim is that the proportion of accidental deaths of the elderly attributable to residential falls is more than 0.10, and th
Alex777 [14]

Answer:

The correct option is b) 4.71

Step-by-step explanation:

Consider the provided information.

Test statistic for proportion: z=\frac{\hat p-p}{\sqrt{\frac{pq}{n}}}

It is given that the claim is that the proportion of accidental deaths of the elderly attributable to residential falls is more than 0.10, and the sample statistics include n=800 deaths of the elderly with 15 percent of them attribute to residential falls.

Therefore, \hat p=0.15, p = 0.1, q = 1-0.1 = 0.9 and n = 800.

Substitute the respective values in the above formula.

z=\frac{0.15-0.1}{\sqrt{\frac{0.1\times0.9}{800}}}

z=\frac{0.05}{\sqrt{\frac{0.09}{800}}}

z\approx4.71

Hence, the correct option is b) 4.71

3 0
2 years ago
Please help, i don’t know how to work this out!!
victus00 [196]

Answer:

40 degrees

Step-by-step explanation:

so, a triangle is 180 degrees. you know that one angle is 60 degrees.

180= 60+ 2x + x

this is the equation of the triangle

120=3x

simplify

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x= 40 degrees

hope this helps :)

5 0
2 years ago
What number must be added to both sides of this equation in order to "complete the square"?
Arte-miy333 [17]

Answer:

D 9 is the correct answer

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3 years ago
Pls help 100 point <br>i really need help​
Umnica [9.8K]

Answer:

ASA - Angle Side Angle, it creates two separate triangles that face each other in which makes it identified as an Angle Side Angle.

(Picture Placed Below)

Step-by-step explanation:

3 0
2 years ago
You borrow $15,985 from your bank to pay for a new car. The interest rate on the loan is 4.25%
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explanation:

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