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lesya [120]
3 years ago
6

You are told that a 95% confidence interval for a population proportion is (0.3775, 0.6225) What was the sample proportion that

lead to this confidence interval?. Also, what is the size of the sample used.
Mathematics
1 answer:
Maru [420]3 years ago
6 0
The mean of the confidence interval is (0.3775 + 0.6225) / 2 = 0.5. Therefore, the standard deviation of the proportion would have been sqrt[0.5*(1 - 0.5) / n], where n is the sample size. This expression simplifies to sqrt(0.25/n).

A 95% CI has a corresponding z = 1.96, so since the distance from 0.5 to 0.3775 (or 0.6225 to 0.5) is equal to 0.1225. Therefore, if we divide 0.1225 / 1.96 = 0.0625, we get the value of the SD, and this should be equal to sqrt(0.25/n).

0.0625 = sqrt(0.25/n)
n = 64
This means that the proportion was 0.5 and the sample size was 64.
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The area of one 7 cm by 7 cm face is 49 cm². Together, the two faces add up to 98 cm².


Using these areas, we can say that the total surface area of the prism would be 252 cm² added to 98 cm², or 350 cm².

8 0
3 years ago
Find the perimeter of this sector. Give your answer in terms of <br><img src="https://tex.z-dn.net/?f=%5Cpi" id="TexFormula1" ti
JulsSmile [24]

Answer:

Perimeter = 24 +  8π /3 m.

Step-by-step explanation:

Arc length = rC  where r = radius and C = angle in radians.

40 degrees = 40 π / 180

= 2π /9 radians.

Arc length = 12 * 2π /9

= 8π /3 m.

Perimeter of the sector = 2*12 + 8π /3

= 24 +  8π /3 m.

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Britney's town voted on the new speed limit. Out of 48 votes, 12 are in favor of the new speed limit. What percentage of the vot
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Step-by-step explanation:

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A new Switch originally cost $300 but over the weekend, I found it on sale for $255. What was the percent discount?
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Step-by-step explanation:

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Read 2 more answers
What is the equation of the quadratic graph with a focus of (1, 1) and a directrix of y = −1?
JulsSmile [24]
Alright,
directix is y=something so it opens down or up

we use
(x-h)²=4p(y-k)
the vertex is (h,k)
and p is distance from focus to vertex
if focus is above directix, p is positive
if focus is below directix, p is negative

so we gts

focus=(1,1)
directix is y=-1
1>-1
focus is above

oh, vertex is in middle of focus and directix
so
beteeen (1,1) and y=-1 is, hmm
that is a distance of 2 vertically
2/2=1
1 down from (1,1) is (1,0)
vertex is (1,0)
p=1

so
(x-1)²=4(1)(y-0)
solving for y to get into f(x)=something form
(x-1)²=4y
y=1/4(x-1)²
f(x)=1/4(x-1)²

4th option
6 0
3 years ago
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