A 90% confidence interval for a proportion is found to be (0.22, 0.28). What is
the sample proportion?

Answers

Answer 1

Answer:

The sample proportion is 0.253.

Step-by-step explanation:

We are given that a 90% confidence interval for a proportion is found to be (0.22, 0.28).

Firstly, as we know that the confidence interval for sample proportion is calculated as;

90% confidence interval = Sample proportion [tex]\pm[/tex] Margin of Error

Here, let [tex]\hat p[/tex] = sample proportion

Also, the level of significance = 1 - 0.90 = 0.10 or 10%

And, the critical value of z at 5% (two-sided) level of significance is 1.645.

So, 90% confidence interval =  [tex]\hat p \pm 1.645 \times \sqrt{\frac{\hat p(1-\hat p)}{n} }[/tex]

           (0.22 , 0.28)    =   [tex]\hat p \pm 1.645 \times \sqrt{\frac{\hat p(1-\hat p)}{n} }[/tex]

This means;  

          0.22  =  [tex]\hat p - 1.645 \times \sqrt{\frac{\hat p(1-\hat p)}{n} }[/tex]  -------------- [Equation 1]

          0.28  =  [tex]\hat p + 1.645 \times \sqrt{\frac{\hat p(1-\hat p)}{n} }[/tex]  -------------- [Equation 2]

From equation 1 and 2, we get;

           [tex]0.22 + 1.645 \times \sqrt{\frac{\hat p(1-\hat p)}{n} }= 0.28 - 1.645 \times \sqrt{\frac{\hat p(1-\hat p)}{n} }[/tex]

           [tex]1.645 \times \sqrt{\frac{\hat p(1-\hat p)}{n} } + 1.645 \times \sqrt{\frac{\hat p(1-\hat p)}{n} }= 0.28 -0.22[/tex]

             [tex]2 \times 1.645 \times \sqrt{\frac{\hat p(1-\hat p)}{n} } =0.06[/tex]

                 [tex]\sqrt{\frac{\hat p(1-\hat p)}{n} } =\frac{0.06}{2 \times 1.645}[/tex]

                  [tex]\sqrt{\frac{\hat p(1-\hat p)}{n} } =0.02[/tex]

Now, squaring both sides, we get;

                    [tex]{\frac{\hat p(1-\hat p)}{n} } =0.0004[/tex]

                      [tex]n ={\frac{\hat p(1-\hat p)}{0.0004} }[/tex]

Now, putting value of n in equation 1, we get;

                    0.22  =  [tex]\hat p - 1.645 \times \sqrt{\frac{\hat p(1-\hat p)}{n} }[/tex]  

                    0.22  =  [tex]\hat p - 1.645 \times \sqrt{\frac{\hat p(1-\hat p)}{\hat p(1-\hat p)}\times 0.0004 }[/tex]

                    0.22  =  [tex]\hat p - 1.645 \times \sqrt{ 0.0004 }[/tex]

                    0.22  =  [tex]\hat p -( 1.645 \times 0.02)[/tex]

                    0.22  =  [tex]\hat p -0.033[/tex]

                      [tex]\hat p = 0.22 + 0.033[/tex] = 0.253

Therefore, the sample proportion  [tex]\hat p[/tex] is 0.253.


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Answer:

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Answer:

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Step-by-step explanation:

Simplify the following expression
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Answers

Answer:

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Step-by-step explanation:

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this is 100% correct

plzz mark me brainliest

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Which representations display nonlinear functions? Check all that apply.


On a coordinate plane, a line with negative slope goes through points (0, 1.5) and (2, 1).

On a coordinate plane, a parabola opens up.

A 2-column table with 4 rows. Column 1 is labeled x with entries 20, 21, 22, 23. Column 2 is labeled y with entries negative 1, negative 1.5, negative 2, negative 2.5.

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Answers

Answer: its b and d

Step-by-step explanation: edge 2022

The answer would be options (B) and (D)

What is Parabola?

A parabola is a U-shaped curve this is drawn for a quadratic function,

f(x) = ax² + b x + c. The graph of the parabola is downward (or opens down), when the price of a is much less than 0, a < 0. The graph of the parabola is upward (or opens up) when the value of a is more than 0, a > 0.

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Hence, the answer would be options (B) and (D)

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PLEASE HELP MEE

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Answers

Answer:

I'm only going to find the value of each variable

Step-by-step explanation:

V,Z,W,Y=39

X=94

Sorry, I didn't know how to explain the relevant angle relationships. '-' :(

3/10
There is a group of tourists going to a museum. The group
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Answers

Answer:

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Step-by-step explanation:

If a child ticket costs 5 dollars

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12

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Answer:

12 adults

Step-by-step explanation:

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Answers

Answer:

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Answers

Answer:

C 11

Step-by-step explanation:

2y = 12 – 5x

Let x = -2

2y = 12 - 5(-2)

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2y = 22

Divide by 2

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Answer:

C11 is the correct answer

Step-by-step explanation:

The garden has an area of 84 square feet. The length must be 8 feet more than the width. Which of these values is the width of the garden? A.2
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Answers

Answer:

answer choice c is correct

determine the intercept of the line​

Answers

Answer:

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Step-by-step explanation:

The intercept is where the line crosses the X and Y axis, so in this line, the line crosses the x axis at (-8,0) and the y axis at (-6,0).

Answer:

There are two different intercepts in this linear line. The x - intercept would be at (-8, 0), and the y - intercept would be at (0,-6). To find out which is the x - intercept and which is the y - intercept, remember that x is always horizontal and y is always vertical.

Step-by-step explanation:

A box contains cards that are numbered from 1 to 100. What is the probability of randomly selecting a number that is less than 12?
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Answers

Answer:

1/100

Step-by-step explanation:

The box contains 100 cards numbered from 1-100

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Hope it helps!

Answer:

1/100

Step-by-step explanation:

The box contains 100 cards numbered from 1-100

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Hope it helps!

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Answers

Answer:

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Answers

Answer:

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Answers

Answer:

[tex]21x^{4}+ 56x^{3}+49x^{2}[/tex]

Step-by-step explanation:

When we multiply the two sides together, we get:

(3x²·7x²) + (8x·7x²) + (7·7x²) =

[tex]21x^{4}+ 56x^{3}+49x^{2}[/tex]

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Find the value of x and y. WILL MARK BRAINLIEST

Answers

Answer:

x = 30

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Step-by-step explanation:

All the angles are 90°, so set 6y and 3x equal to 90, like so:

6y = 90

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y = 15

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3x = 90

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x = 30

Step-by-step explanation:

3) in parallelogram opposite angles are equal

6y=90

y=15

x=30

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x=7

y=4

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Answers

Answer:

To find the area of a rectangle multiply its height by its width. For a square you only need to find the length of one of the sides (as each side is the same length) and then multiply this by itself to find the area. This is the same as saying length2 or length squared.

Step-by-step explanation:

Answer:

For a rectangle, you get the length and width and multiply them

For a Square, you have to find one side length and mulitply it by itself

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Step-by-step explanation:

For example, if the measure of one side of a square is 5, because all the other lengths are the same, you do 5 times 5 which equals 25 or 5^2 which is 25

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Answers

Answer:

The answer is D.

Step-by-step explanation:

You cannot have the range of a number in negative numbers. The range will always be in positive numbers, and the range will never be in a fraction.

The range of the graph is all real numbers.

Each domain and range are the set of all actual numbers. however, due to the fact, absolutely the fee is described as a distance from 0, the output can only be greater than or identical to zero. The domain is all real numbers since the horizontal extent of the graph is the complete real range line.

Why are the range all real numbers?

For any actual quantity, you may continually find a price that gives you that wide variety for the output. Except a linear function is a regular, together, there's no restriction at the range. The domain and range are all real numbers.

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PLS HELP question in picture

Answers

Answer:

yankee with no brim

Step-by-step explanation:

What is the sticker price for a vehicle with the following features and costs: suggested retail price of $13,760, destination charge of $475, equipped with AC, cruise control, and a custom sound system for $800, $235, and $490, respectively?

$15,760


$13,760


$13,370


$11,760

Answers

Answer:

15,760

Step-by-step explanation:

I just added all of them...

The sticker price we just need to add all the extras to the suggested retail price. The total sticker price would be $15,760.

What is addition?

The addition is one of the mathematical operations. The addition of two numbers results in the total amount of the combined value.

To find the sticker price we just need to add all the extras to the suggested retail price:

suggested retail price       $13,760

air conditioner                    $800

cruise control                     $235

custom sound system       $490

destination charge            $475

total sticker price = 13,760 + 800 + 235 + 490 + 475

                              = 15,760

The total sticker price would be $15,760.

The sticker price includes all the extras that the car dealer adds to the MSRP, and is generally the price of ready-to-sell cars.

Learn more about addition;

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Celeste needs to create a keyword map that branches out from an image of the solar system. Which image best
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Sun
Sun
Sun
Mercury
Venus
Moon
Stars
Neptune
es
Earth
Venus
Earth
Uranus
Constellations
The Milky
Way
Mars
Saturn
Mars
Jupiter

Answers

Answer:

The Correct Answer Is C

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

what is the length of CD

Answers

Answer:

20 yds.

Step-by-step explanation:

From C to E 10 yds. so if you double that you get 20 yds.

Brainliest plz

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Answers

Answer:   this is the answer --->     12 :)

Step-by-step explanation:

12

this is the correct answer

How many tenths is 0.4

Answers

0.4 has 4 tenths

Look at 0.4 as 0.40

Divide the 40 by 10 and get 4

-Hope this helped!

Answer:

The are 4 tenths in 0.4

Step-by-step explanation:

This is because when looking at a place value table the digit 4 is in the tenths column and so means there are 4 tenths.

To work this out you would look at what place are the tenths and then look at the digit in the corresponding place

whats 9 plus 10 i need a answer soon its really hard

Answers

Answer:

19

:) BRAINLIEST

first here

Answer:

the answer is 19

Step-by-step explanation:

9+10=19

hope this helps, have a good day : )

The expression on the left side of an equation is shown below.

3(x+1)+9=0

If the equation has no solution, which expression can be written in the box on the other side of the equation?

3[x+4)

2[x+8)+x

4(x-3) -

03(x+1)+9x

Answers

Answer:

A. 3(x + 4)

Step-by-step explanation:

All we have to do to get the expression on the other side is to expand the bracket on the left and factorise the expression.

The equation given is:

3(x + 1) + 9 = 0

Expanding the left hand side and factorising:

3x + 3 + 9

=> 3x + 12

=> 3(x + 4)

Therefore, the expression that can be written on the other side is 3(x + 4)

Answer:

C

Step-by-step explanation:

just finished it on edge and got a 100 :)

What are all the numbers congruent to #1?

Answers

Answer: All angles are congruient to 1

Step-by-step explanation:

So first of all, that shape is a rectangle. All angles of a rectangle are 90 degrees. So all angles are equal.

Answer: it is 90

Step-by-step explanation: so they are all congruent

What is the solution to the system of equations?
7x-2y = -24
5x+ 5y = 15
(2, 5)
(-2,5)
(-2,-5)
(2,5)

Answers

The solution is 5x+ 5y = 15

Answer:

-2,5

Step-by-step explanation:

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