A 95 percent confidence interval of the form p + E will be used to obtain an estimate for an unknown population proportion p. If p is the sample proportion and E is the margin of error, which of the following is the smallest sample size that will guarantee a margin of error of at most 0.08?

Answers

Answer 1

Answer:

The sample size needed to guarantee a margin of error of at most 0.08 in a 95 percent confidence interval for an unknown population proportion p can be found using the formula:

n = (p(1-p)) / E^2

Where n is the sample size, p is the sample proportion, E is the margin of error, and Z is the Z-score for the desired level of confidence. Since we are using a 95 percent confidence level, the Z-score is approximately 1.96.

To find the smallest sample size that will guarantee a margin of error of at most 0.08, we need to plug in the values for E and Z into the formula and solve for n.

n = (p(1-p)) / (0.08)^2

Since we don't know the population proportion p, we can use a rough estimate of 0.5 to get a rough estimate of the sample size. This is known as the conservative sample size, because it is based on the worst-case scenario (i.e. the proportion is exactly 0.5).

n = (0.5 * (1 - 0.5)) / (0.08)^2

n = (0.25) / (0.0064)

n = 3906.25

So, the smallest sample size that will guarantee a margin of error of at most 0.08 is 3906.25.

It should be rounded up to 3907.

Step-by-step explanation:


Related Questions

please help me ASAP thank you!!

Answers

The answer is 2 sqrt of 3 :) hope this helps

Which of the equations or
inequalities below are true?
O A. 7-274
O B. 7-2 5 5
D C. 7 - 2 = -5
D. 7-2 > 6

Answers

Answer:

C

Step-by-step explanation:

Have a great day ^^ :)

a point its y-coordinate is zero

Answers

Answer:

so i am confusion-

whhhhhhhhhhhhhh-

whats 5+3+8+9+10+50+100

Answers

Answer:

185 is the answer

Step-by-step explanation:

your answer is 185

Answer:

Hello! :) have a good day!

5+3+8+9+10+50+100=185

HELPPP DUE VERY SOON ILL GIVE BRAINLESS

Answers

Answer:

b

Step-by-step explanation:

5. A baker had 2 pans of corn bread. He served 1 1/4 pans. What fraction of a pan was left?

Answers

Answer:

3/4

Step-by-step explanation:

2- 1 1/4= 3/4

Answer:

3/4

Step-by-step explanation:

help please!!

3+12-9=
(7+4)x3-2=
2 ⁴ - 6 divided by 2 =
5+4x(2+7) =

Answers

Step-by-step explanation:

6

11х3-2=33-2=31

(16-6):2=10:2=5

5+4х9=5+36=41

Find the value of x.
12
12
x = [?]

Answers

Step-by-step explanation:

step 1. The segment x is made up of 2 equal lines which are connected in the middle to another segment 12 units long.

step 2. the intersection of these two segments must create a 90° angle because the two lines are equal.

step 3. The lower segments are identical to the upper segments.

step 4. therefore x = 11(2) = 22.

Identify the sampling technique used. Thirty-five sophomores, 24 juniors and 25 seniors are randomly selected from 388 sophomores, 418 juniors and 573 seniors at a certain high school. systematic random convenience O cluster stratified ​

Answers

24 thing I’m the 388 4578

what is the value of x in the equation 6x + 3 +4x= 1/2 (9+10x)

Answers

Answer:

x=0.3

Step-by-step explanation:

6x+3+4x=1/2(9+10x)

10x+3=4.5+5x

5x=1.5

x=0.3

Answer:

x=0.3

Step-by-step explanation:

6x+3+4x=1/2(9+10x)

10x+3=4.5+5x

subtract 5x and 3 from both sides

5x=1.5

x=0.3

the product of the present ages of Two Sisters is 150. 5 years ago, the elder sister was twice as old as her younger sister find their age​

Answers

The younger sister is 10 years old and the elder sister is 15 years old.

Let's represent the present ages of the two sisters as x and y, where x is the age of the elder sister and y is the age of the younger sister.

According to the given information, the product of their present ages is 150:

x * y = 150 ---(1)

It is also stated that 5 years ago, the elder sister was twice as old as her younger sister:

x - 5 = 2 * (y - 5) ---(2)

We can now solve these two equations simultaneously to find the ages of the two sisters.

From equation (2), we can simplify:

x - 5 = 2y - 10

x = 2y - 10 + 5

x = 2y - 5

Substituting this value of x into equation (1), we have:

(2y - 5) * y = 150

2y^2 - 5y = 150

2y^2 - 5y - 150 = 0

Now we can solve this quadratic equation either by factoring, completing the square, or using the quadratic formula. By factoring, we find:

(2y + 15)(y - 10) = 0

This gives us two possible solutions for y:

2y + 15 = 0 --> y = -7.5 (Discard this since age cannot be negative)

y - 10 = 0 --> y = 10

So, the younger sister is 10 years old.

To find the elder sister's age, we can substitute this value of y into equation (2):

x = 2y - 5

x = 2 * 10 - 5

x = 20 - 5

x = 15

Therefore, the elder sister is 15 years old.

for such more question on ages

https://brainly.com/question/9142477

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The wall street journal corporate perceptions study 2011 surveyed readers and asked how each rated the quality of management and the reputation of the company for over 250 worldwide corporations. Both the quality of mangement and the reputation of the company were rated on an excellent, good, and fair catergorical scale. Assume sample data for 200 respondents below.
Reputation of Company
Quality of management Excellent Good Fair
Excellent 40 25 5
Good 35 35 10
Fair 25 10 15
A) use a .05 level of significance and test for independence of the quality of management and the reputation of the company. What is the p-value and what is your conculsion??
B) If there is a dependence or association between the two ratings, discuss and use the probabilities to justify your answer.

Answers

Answer:

Hello some parts of your question is missing below is the missing part

answer : A) p-value =  0.0019 ,

The level of significance ( 0.05 ) > p-value ( 0.0019 )

B) There is no dependence between the two ratings

Step-by-step explanation:

A) using a 0.05 level of significance and test for independence of the quality of management

Test statistic : [tex]X^{2}[/tex]  ∑ ( Oi - Ei )^2 / Ei

= [(40-35)^2 / 35 ] +  [(25-24.5)^2 / 24.5 ] +  [(5-10.5)^2 / 10.5]  +  [(35-40)^2 / 40]  +  [(35-28)^2 / 28]  +  [(10-12)^2 / 12]  +   [ (25-25)^2 / 25 ]  +  [(10-17.5)^2 / 17.5 ]  + [(15-7.5)^2 / 7.5]  =  17.03  

p-value = 0.0019

Df = 4  ,

The level of significance ( 0.05 ) > p-value ( 0.0019 )

B) There is no dependence between the two ratings

Determine if the expression m+m^3-8m^4 is a polynomial function. If so, name the degree and the type of polynomial

Answers

yes this is a polynomial.
the degree is 4.

PLEASE HELP I NEED THIS

Answers

Answer:

See below.

Step-by-step explanation:

1) 3 congruent sides and 3 congruent angles: equilateral, equiangular, acute

2) 2 congruent sides and a right angle: right isosceles

3) 2 congruent sides and an obtuse angle: obtuse isosceles

4) 1 obtuse angle and all different lengths of sides: obtuse scalene

5) 1 right angle and all different side lengths: right scalene

6) 2 congruent sides, all acute angles: acute isosceles

7) x + 2 = 10

x = 8

8) 10x + 3 + 10x + 3 + 34 = 180

20x + 40 = 180

20x = 140

x = 7

Select the correct answer.
Consider these functions:
f(x)= 1/3x2 + 4
g(x)=9x – 12
What is the value of g(f(x))?

Answers

There are step by steps explaination in the picture

A cookie factory uses 1/3 of a bag of flour in each batch of cookies. The factory used 2/3 of a bag of flour yesterday. How many batches of cookies did the factory make?

Please Help

Answers

Answer:

They made 2 batches

Step-by-step explanation:

If the factory used ⅔, and 1 batch is ⅓, the factory made 1 batch for each 3rd they used. ⅔, 2 batches

Which number can each term of the equation be multiplied by to eliminate the fractions before solving? 6 1 -Xt 3 1 = } 2x+5 o 2 o 3 6 O 12​

Answers

Correct question is;

Which number can each term of the equation be multiplied by to eliminate the fractions before solving? 6 – ¾x + ⅓ = ½x + 5

Answer:

12

Step-by-step explanation:

We are given the equation as;

6 – ¾x + ⅓ = ½x + 5

In order to find out the number that each term can be multiplied by, we will need to express each denominator as a product of its prime factors to find the lowest common factor.

Thus;

Factors of 4 = 1 × 2 × 2

Factors of 3 = 1 × 3

Factors of 2 = 1 × 2

Thus, LCF = 1 × 2 × 2 × 3 = 12

a ball has a volume of 2 cubic inches .use the fact that l inch is equal to 2.54 cm to convert this volume to cubic centimeters​

Answers

Answer:

32.77 cm³

Step-by-step explanation:

From the question given above, the following data were obtained:

Volume of ball (in in³) = 2 in³

Volume of ball (in cm³) =.?

From the question given above, we were told that:

1 in = 2.54 cm

Therefore,

1 in³ = 2.54³ cm³

Finally, we shall convert 2 in³ to cm³. This can be obtained as follow:

1 in³ = 2.54³ cm³

Therefore,

2 in³ = 2 in³ × 2.54³ cm³ / 1 in³

2 in³ = 32.77 cm³

Thus, 2 in³ is equivalent to 32.77 cm³

Write the complete factorization of 22xy^2

Answers

Answer:

2 * 11 * x * y * y

Step-by-step explanation:

The numerical part is 22, whose prime factor form is: 2 * 11

Then the complete factorization of 22 x y^2 is:

2 * 11 * x * y * y

The complete factorization of [tex]22xy^2[/tex] is [tex]2 \times 11 \timesx \times y \times y[/tex]

Given that,

The equation is [tex]22xy^2[/tex]

Based on the above information, the calculation is as follows:

Here the numerical part should be 22 whose prime factor should be 2 and 11.

Now  the complete factor should be [tex]2 \times 11 \timesx \times y \times y[/tex]

Learn more: brainly.com/question/16911495

Which expression is equivalent to
(a*b*c) f(вазь) (20°) ,
4a°ь123
Зас7
65
14
9ac
b3
0
12ас 14
63
9ас?
b5

Answers

Answer:

the answer is C, here is an app or website that u could use for math :)

Mark is buying different nuts to make a mixed nut platter to serve at a party. He buys 1.2 kilograms of peanuts, 300 grams of almonds and 40 dekagrams of cashews. What is the total weight in grams of the nuts he purchased? Enter only the number. Do not include unit

Answers

Answer:

1900

Step-by-step explanation:

1 kg = 1000g

1.2kg = x

1 kgx = 1200 kg.g

1kg. 1kg

x = 1200 g

1 decagram = 10g

40 decagram = x

1 dg.x = 400 dg.g

1 dg. 1 dg

x = 400g

so the total= 1200g +300 + 400g=1900g

without the unit = 1900

I need help on this question!??

Answers

Answer:

The only thing you will do is to plug the x in the equation.

x = -2 ---> f(x) = -6

x = 0 ---> f(x) = 0

x = 3 ---> f(x) = 9

x = 7 ---> f(x) = 21

f(x) = 3x

f(-2) = 3(-2)

f(-2) = -6

f(0) = 3(0)

f(0) = 0

f(3) = 3(3)

f(3) = 9

21 = 3x

21 / 3 = 3x / 3

7 = x

Hope this helps, thank you :) !!

someone answer this pls-

Answers

Answer:

c

Step-by-step explanation:

Answer:

C. $37.39

Step-by-step explanation:

We have our original value, $37.69, and we are given a table that adds or subtracts a certain amount. The question is asking what is the final product by Friday.

To solve, all we have to do is subtract and add the price of stock per each day.

$37.69

On Tuesday, the stock price went up by $0.69 cents.

So we must add .69 to 37.69

37.69 + .69

38.38

On Wednesday, the stock price lowered by 82 cents.

So we subtract .82 from 38.38

38.38 - .82

37.56

On Thursday the stock price gained 37 cents, so do the same you did for Tuesday.

37.56 + .37

37.93

On Friday the stock price went down by 14 cents, so do the same you did for Wednesday.

37.93 - .14

37.79

what is the anwser pls help

Answers

Answer:

b. 0.09

Step-by-step explanation:

0.09 is the only one smaller than 0.59

0.59>0.09

Answer:Its D

Step-by-step explanation:

Given a right triangle ABC, if the measure of angle A is 77', and cos (77) = sin(0).
what is the value of 0 ?

Answers

Answer:  Theta = 13 degrees

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

Rule:

If cos(A) = sin(B), then A+B = 90

This can be proven through the use of drawing a right triangle with acute angles A and B. Let's say C is the 90 degree angle.

Then note how cos(A) = adjacent/hypotenuse = AC/AB while sin(B) = opposite/hypotenuse = AC/AB. We see that both evaluate to AC/AB. So this confirms cos(A) = sin(B) is true.

The condition that A+B = 90 is from from the fact that any pair of acute angles of a right triangle are complementary angles.

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

Using that rule, we can say

cos(77) = sin(theta)

leads to

77+theta = 90

and that solves to

theta = 90-77 = 13

Daniel is helping his mom fold the laundry. He folds towels at a constant speed. He made the following table showing how many towels he could fold in a certain number of seconds.

HELP ME PLS ASAP PLS PLZ PLZ

Answers

Answer:

540 towels

Step-by-step explanation:

cross multiply

towels time

4 120

18 x

4x=120×18

x = 540

Reina enjoys dinner at a restaurant in Alhambra where the sales tax on meals is 10%. She left a 20% tip on the price of her meal before the sales tax was added. The meal was $22. How much should she give for tip? Show your work or explain your solution.$2.20
$4.40
10%
$6.60

Answers

Answer:

Step-by-step explanation:

Your answer

Meal is 22$

10% tax, tax with price = 24.2$

She gave on tip = 4.84$

Total price = 29.04$

Mark it as Brainlist answer. Follow me.

A. 2 sqrt 3

B. 4

C. 8

D. 4 sqrt 6

E. 12

Answers

Ce clasă ești sa văd daca te pot ajuta

Using the formula Ft = mv - mu , find v , when F= 55, u= -9, t= 3, m=5

Answers

Answer:

v = 24

Step-by-step explanation:

Ft + mu = mv

v = (Ft + mu)/m = (55*3 + 5*(-9))/5 = 24

2 3
X 8 4

What’s the answer?

Answers

Answer:

1932

Step-by-step explanation:

Answer:

1932

...................

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