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Dvinal [7]
3 years ago
13

How do you solve this problem? population proportion is to be estimated from a sample of 400 with a sample proportion of 0.1. Ap

proximate the​ 95% confidence interval of the population proportion
Mathematics
1 answer:
Ivan3 years ago
6 0

Answer:

(0.0706, 0.1294)

Step-by-step explanation:

Confidence interval of a proportion is:

CI = p ± CV × SE

where p is the proportion,

CV is the critical value (z score or t score),

and SE is the standard error.

The sample is large enough to estimate as normal.  For 95% confidence level, CV = z = 1.96.

Standard error for a proportion is:

SE = √(pq/n)

SE = √(0.1 × 0.9 / 400)

SE = 0.015

The confidence interval is:

CI = 0.1 ± (1.96)(0.015)

CI = (0.0706, 0.1294)

Round as needed.

You might be interested in
Triangle ABC and DEF are similar what is the length of segment DF?
Ipatiy [6.2K]

Answer:

Proportionate to whatever length the corresponding segment for the similar triangle.

5 0
3 years ago
In ΔOPQ, m∠O = 107° and m∠P = 28°. Which statement about the sides of ΔOPQ must be true?
11Alexandr11 [23.1K]

Answer:

QO < OP < QP

Step-by-step explanation:

The third angle, angle Q, must measure 45° since angles in a triangle add to 180°.

So, OQ < OP < QP.

3 0
2 years ago
Can you please help?
Liula [17]

Answer:

\huge\boxed{3.873}

Step-by-step explanation:

Note that the squares are on the sides of these triangles are on the hypotenuse/one leg.

We know that the area of a square is l^2 where l is the length. Since we know the area, we can find the square root of the area to find the side length.

So the side lengths are \sqrt{25} and \sqrt{10}.

Since we know the hypotenuse is \sqrt{25} and one of the legs is \sqrt{10}, we can use the Pythagorean Theorem to find the missing side.

The Pythagorean Theorem states that a^2 + b^2 = c^2, where c is the hypotenuse and a/b are the legs.

We know the <em>hypotenuse </em>and <em>a leg</em>, so we can substitute inside

a^2 + \sqrt{10}^2 = \sqrt{25}^2

Squaring a square root is the same as doing nothing.

a^2 + 10 = 25\\\\a^2 = 25-10\\\\a^2 = 15\\\\a = \sqrt{15}\\\\a \approx 3.873

Hope this helped!

7 0
3 years ago
Help also dont mind karl
Dvinal [7]

Answer:

15/8

Step-by-step explanation:

the mixed answer is 1 7/8

but also the answer is 15/8

4 0
3 years ago
Read 2 more answers
a recipe calls for 2/3 of a cup of sugar per batch. elena used 5 and 1/3 cups of sugar to make multiple batches of cookies. How
GarryVolchara [31]
8 batches.
5 and 1/3 is equal to 16/3. 2/3 times 8 is 16/3.
4 0
3 years ago
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