A researcher wants to construct a 90% confidence interval for the proportion of elementary school students in Seward County who receive free or reduced-price school lunches. A state-wide survey indicates that the proportion is 0.50. Using this estimate, what sample size is needed so that the confidence interval will have a margin of error of 0.1?

Answers

Answer 1

Answer:

The sample  size is  [tex]n =68[/tex]

Step-by-step explanation:

    The population proportion is  [tex]\^ p = 0.50[/tex]

     The margin of error is  [tex]E = 0.1[/tex]

From the question we are told the confidence level is  90% , hence the level of significance is    

      [tex]\alpha = (100 - 90 ) \%[/tex]

=>   [tex]\alpha = 0.10[/tex]

Generally from the normal distribution table the critical value  of  [tex]\frac{\alpha }{2}[/tex] is  

   [tex]Z_{\frac{\alpha }{2} } =  1.645 [/tex]

Generally the sample size is mathematically represented as  

    [tex]n = [\frac{Z_{\frac{\alpha }{2} }}{E} ]^2 * \^ p (1 - \^ p ) [/tex]

=>  [tex]n = [\frac{1.645 }{0.1} ]^2 * 0.50  (1 - 0.50 ) [/tex]

=>  [tex]n =68[/tex]

     


Related Questions

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A photograph measures eleven inches wide and fourteen inches long. The picture is enlarged to fit on a wall. If the new larger picture is 231 inches wide,how long is it?
-294 inches
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-234 inches
-181.5 inches

Answers

Answer:

294 inches

Step-by-step explanation:

Similar figures have congruent corresponding angles and proportional corresponding sides.

ok so i know that you want brainleist but pls answer first?!

Answers

Step-by-step explanation:

[tex]Expression: \frac{40}{y - 16} [/tex]

[tex]When \: y=20, \: the \: value \: of \: the \: expression \: is \: \frac{40}{4} = 10 [/tex]

How many solutions does the equation 4x + 8 = -2 - 2 + 5x have? (5 points)
Two
One
None
Infinitely many

Answers

Answer:

i believe it only has one solution, which would be x=12.

Step-by-step explanation:

Answer:

write Then finding matrix the system as a matrix equation, solve a matrix equation by the inverse of the coefficient , S 4X-5v=lle 25x-ley=19 X-ley= 19

Step-by-step explanation:

its in answer

Veronica is choosing between two health clubs. After how many months will the total cost for each health club be the same? Yoga studio A (Membership: $22.50 and monthly: $24.50) Yoga studio B (Membership: $47.00 and monthly: $18.25)

PLEASE ANSWER ASAP FOR 35 POINTS :)

Answers

Answer:

4 months

Step-by-step explanation:

Answer:

4 months

Step-by-step explanation:

Item 2

Find the area of the trapezoid.


b1=4,b2=8,h=2


ASAP TIMED WILL GIVE 35 POINTS>

Answers

Answer:

12 units squared.

Step-by-step explanation:

The formula for the area of a trapezoid is 1/2(base1+base2)*height.  First, add the two bases together.  4+8=12.  Then multiply that number by both 1/2 and the height, 2.  1/2*2*12 equals 12 units squared.

.
There were 3 squirrels and 18 acorns on Josh's back porch. What was the ratio of squirrels to acorns? Enter your answer in reduced form.

Answers

Answer:

1 to 6

Step-by-step explanation:

the ratio is found by dividing 18 by 3 which is 6.

basically, one squirrel per 6 acorns

The ratio can be simplified from 3:18 to 1:6.

can you help me please ​

Answers

I believe the answer is A to make money by trading

the reason for this is because they could ship goods across the water and make more money off of the goods that way because traveling by boat takes less time then traveling by land

Which of the following best describes the graph of the polynomial function below ?

Answers

Answer:

Presumably when they refer to the number of zeros, they're talking about co-ordinates with a y value of zero.  In that case, the answer is C, The graph has no zeros.

The Chin family is having new carpet installed in the dining room. The carpet costs $249 for installation and $9 for each square yard. It cost the Chin family $465 to carpet the dining room.

Answers

Answer:

The Chine family installed 24 square yards

Step-by-step explanation:

Make an equation:

$249 prior to installing carpet

$9: per square yard, 9 can be represented as 9x because we don't know how many square yards are being installed  

$465: total spent

9x + 249 = 465

subtract 249 from 465

then divide 9 by whatever 249 - 465 equals  

In a certain Algebra 2 class of 24 students, 9 of them play basketball and 13 of them
play baseball. There are 2 students who play both sports. What is the probability that
a student chosen randomly from the class plays basketball or baseball?

Answers

The probability that a student who is chosen randomly from the class who plays basketball or baseball is 11/24.

What is probability?

Probability is defined as the ratio of the number of favorable outcomes to the total number of outcomes in other words the probability is the number that shows the happening of the event.

Given that In a certain algebra 2 class of 24 students, 9 of them play basketball and 13 of them play baseball. There are 2 students who play both sports.

2+5+4 =11

Expect the 13 people/students who didn't play,

Total people 24

P = 24-13=11

P = 11/24

The probability will be equal to 11/24.

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3. Find the annual salary for Kathy if she is paid $2.100 every other week.
Annual Salary = Biweekly Salary * 26

Answers

Annual salary = $2,100 x 26
= $54,600

SOMEONE PLEASEE SOLVE!!
4√-88

Answers

Answer:

37.5*i

Step-by-step explanation:

4√88*√-1

4*(9.4)*i

37,7*i

what is the slope of (0,0) , (3,3)​

Answers

Answer:

The slope is 1

Step-by-step explanation:

[tex]\frac{3-0}{3-0}[/tex] = [tex]\frac{3}{3}[/tex] = 1

Which expression best estimates
– 184-2į?
O 18-3
-18-3
0-18-(-3)
O 18-(-3)

Answers

the best one is 18-3

Write the prime factorization of 12. Use exponents when appropriate and order the factors from least to greatest (for example,22•3•5)

Answers

Answer:

the answer is 2×2×3 I think

Let v represent the value of a bank acount, in thousands of dollars, t yearsaftertye account is opend at the bank

Answers

Answer:

could you explain it more

Step-by-step explanation:

A sequence starts 10, 20, ...
A) Find the next two terms if it is arithmetic. Show/explain your process!
B) Find the next two terms if it is geometric. Show/explain your process!

Answers

Answer:

B Find the next two terms If it is geometric

i need help with this pleasee

Answers

Answers:

angle GFH = 60 degreesangle GHD = 110 degreesangle FGH = 10 degrees

================================================

Explanation:

Angle CFG is given to be 120 degrees.

The angle to the right that's adjacent to this is angle GFH. The two angles add to 180

(angle CFG) + (angle GFH) = 180

(120) + (angle GFH) = 180

angle GFH = 180 - 120

angle GFH = 60 degrees

-----------------------

Angle XGA is 70 degrees. Note how it corresponds to angle XHC since both angles are in the same northwest quadrant of their four-corner angle configuration.

Corresponding angles are congruent due to the parallel lines AB and CD.

This means angle XHC is also 70 degrees.

We'll use the same idea as in the last section

(angle XHC) + (angle GHD) = 180

(70) + (angle GHD) = 180

angle GHD = 180 - 70

angle GHD = 110 degrees

--------------------

Focus on triangle FGH.

We want to find angle FGH, which is the same as angle G when focusing solely on triangle FGH and no other points or triangles.

In the previous two sections, we found

angle GFH = 60angle XHC = 110

This can be shortened to

angle F = 60angle H = 110

Again we must focus solely on triangle FGH and nothing else.

So we have

angle F = 60angle G = unknownangle H = 110

Let's solve for G

F+G+H = 180 .... angles of a triangle always add to 180

60+G+110 = 180

G+170 = 180

G = 180-170

G = 10

For triangle FGH, angle G is 10 degrees.

This means angle FGH is 10 degrees.

Click the photo to find the measure of each interior angle of the regular polygon

Answers

Answer:  120 degrees

==============================================

Work Shown:

n = number of sides = 6

i = measure of interior angle

i = 180(n-2)/n

i = 180(6-2)/6

i = 180(4)/6

i = 720/6

i = 120

Each interior angle of this regular hexagon is 120 degrees.

-----------------

Alternative Approach:

E = exterior angle

E = 360/n

E = 360/6

E = 60

Each exterior angle of this regular hexagon is 60 degrees

i+E = 180

i = 180-E

i = 180-60

i = 120

We get the same answer.

If you went to a store
and you paid 80% of the
price of a jacket, what
percent was the jacket
discounted?

Answers

Answer:

is it 20% I'm not really sure

Answer:

$71.74

Step-by-step explanation:

Given:

Old price of the jacket  = $ 80

Discount = 15 %

Therefore, discounted price =

Now, sales tax = 5.5 % on discounted price =

Therefore, the new price of the jacket after discount and paying sales tax is given as:

New price = Discounted price + Sales tax

New price = $ 68 + $ 3.74 = $ 71.74

So, the new price of the jacket is $ 71.74.

Find the rate of change.

Answers

Answer:is 5 because it multiply by 5.

Step-by-step explanation:

How to find inequalities

Answers

Answer:

Step 1 Eliminate fractions by multiplying all terms by the least common denominator of all fractions.

Step 2 Simplify by combining like terms on each side of the inequality.

Step 3 Add or subtract quantities to obtain the unknown on one side and the numbers on the other.

Hope that helped happy holidays!

Solve the system of equations by substitution.

3x+y = 10
7x+ 2y= 24

A. (2,4)
B. (2,-6)
C. (4,-2)
D. (2,-4)

If you can, explain step by step please :)

Answers

Answer:

C

Step-by-step explanation:

3x+y=10---(1)

7x+2y=24---(2)

From(1)

3x+y=10

y=10-3x---(3)

Substitute(3)into(2)

7x+2y=24

7x+2(10-3x)=24

7x+20-6x=24

x+20=24

x=24-20

x=4

Substitute x=4 into (1)

3x+y=10

3(4)+y=10

12+y=10

y=10-12

y=-2

Martha made 5 out of 6 free throws, Mary made 7 out of 8. Who is the better
shooter? Explain completely?

Answers

Answer:

Mary

Step-by-step explanation:

just do it trust me

Which graph represents z = (–3 + 4i) – (2 + i)

Answers

Answer:

D

Step-by-step explanation:

I got it right in edg2020

Your question is incomplete. But the following graph describes the equation you have given.

Which graph represents z = (–3 + 4i) – (2 + i).

The graph which represents z = (–3 + 4i) – (2 + i) is attached with this answer.

We have,

z = (–3 + 4i) – (2 + i)

Now,

Simplify this given expression of complex number ;

i.e.

z = (–3 + 4i) – (2 + i)

z = -3 + 4i - 2 - i

We get,

z =  -5 + 3i

Now,

We will graph this z =  -5 + 3i complex number on cartesian coordinate,

So,  

In cartesian coordinate when we graph any complex number then the constant value i.e. (-5) is represented on the x-axis and the imaginary value i.e. (3i) will be on the y-axis.

Learn more about the complex number here:

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what is the following quotient? 3sqrt60/3sqrt20

Answers

Answer:

Step-by-step explanation:

3 sqrt 60 / 3 sqrt 20

3 gets cancelled

(sqrt 20 × sqrt 3)/sqrt 20

sqrt 20 gets cancelled

Sqrt 3 is the answer

determine whether the relationship is a function or not a function.

Answers

Answer

not a function

Step-by-step explanation:

Answer:

kk

Step-by-step explanation:

ok

The graph show the ratio of pencils to pens sold at the school bookstore. If the bookstore sells 15 pencils, how many pens does it sell?

Answers

just look at the graph fam its 18 pens

Find the inverse: f(x) = 4 + 4/5 x.

Answers

Answer:

f−1(x)=5x4−5

Step-by-step explanation:

To find the inverse, interchange the variables and solve for y.

Can anyone please help me with the last question I’m struggling!

Answers

The equation is x=-6

Step-by-step explanation:

In standard form the equation is y=4

And this is a horizontal line so the perpendicular line will be a vertical line of the form x=a

so that is why the equation is x=-6

Answer:

= -5

Step-by-step explanation:

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