In a Gallup survey of 1,012 randomly selected U.S. adults (age 18 and over), 53% said that they were dissatisfied with the quality of education students receive in kindergarten through grade 12. Use the normal distribution to construct and interpret a 90% confidence interval for the proportion of U.S. adults who are dissatisfied with the education students receive in kindergarten through grade 12. The standard error is SE

Answers

Answer 1

Answer:

The standard error is 0.0157.

The 90% confidence interval for the proportion of U.S. adults who are dissatisfied with the education students receive in kindergarten through grade 12 is (0.5042, 0.5558). This means that we are 90% sure that the true proportion of U.S. adults who are dissatisfied with the education students receive in kindergarten through grade 12 is between 0.5042 and 0.5558.

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.

[tex]\pi \pm zs[/tex]

In which

z is the zscore that has a pvalue of [tex]1 - \frac{\alpha}{2}[/tex].

[tex]s = \sqrt{\frac{\pi(1-\pi)}{n}}[/tex] is the standard error.

In a Gallup survey of 1,012 randomly selected U.S. adults (age 18 and over), 53% said that they were dissatisfied with the quality of education students receive in kindergarten through grade 12.

This means that [tex]n = 1012, \pi = 0.53[/tex]

The standard error is:

[tex]s = \sqrt{\frac{\pi(1-\pi)}{n}} = \sqrt{\frac{0.53*0.47}{1012}} = 0.0157[/tex]

The standard error is 0.0157.

90% confidence level

So [tex]\alpha = 0.1[/tex], z is the value of Z that has a pvalue of [tex]1 - \frac{0.1}{2} = 0.95[/tex], so [tex]Z = 1.645[/tex].

The lower limit of this interval is:

[tex]\pi - zs = 0.53 - 1.645*0.0157 = 0.5042[/tex]

The upper limit of this interval is:

[tex]\pi + zs = 0.53 + 1.645*0.0157 = 0.5558[/tex]

The 90% confidence interval for the proportion of U.S. adults who are dissatisfied with the education students receive in kindergarten through grade 12 is (0.5042, 0.5558). This means that we are 90% sure that the true proportion of U.S. adults who are dissatisfied with the education students receive in kindergarten through grade 12 is between 0.5042 and 0.5558.


Related Questions

Find the surface area of a cone that has a slant height of 6 inches and a base with a diameter of 3 inches.

Answers

Answer:

Step-by-step explanation:

radius r = 1.5 in

slant height ℓ = 6 in

lateral area LA = πrℓ

                     = π(1.5)(1.5)

                     = 2.25π

                  ≅ 7.07 in²

base area BA = πr²

                    = π1.5²

                  ≅ 7.07 in²

 

surface area SA = LA + BA

                       = 7.07 + 7.07

                  ≅ 14.14 in²

this year you earned $75,500. Last year you earned $72,400. What was the rate of change on your earnings since last year
a. 4.28%
b. 4.68%
c. 4.92%
d. 5.12%​

Answers

5.12 I guess :)))))))

A number is added to 12, and the result divided by 2. the answer is the same as you get by subtracting the number from 4. what is the number?​

Answers

Answer:

1 1/3

Step-by-step explanation:

(x+12)/2 = 4-x

Step 1, multiply both sides by 2 to remove that pesky fraction. x+12 = 8–2x

Step 2, add 2x to both sides to remove x from the right hand side. 3x+12 = 8

Step 3, minus 12 from both sides, removing it from the left hand side. 3x = -4

Step 4, divide by 3. x = 1 1/3

Answer:

the number is 20

Step-by-step explanation:

Equation: let x be the missing number

x + 12 ÷ 2 = x - 4

first step: multiply 2 on both sides to get rid of the division

x + 12 ÷ 2 ×  2 = x - 4 × 2

x + 12 = 2x - 8  

second step: add 8 on both sides:

x + 12 + 8 = 2x - 8 + 8

x + 20 = 2x

third step: subtract x on both sides:

x - x + 20 = 2x - x

20 = x

to check: substitute 20 for x

x + 12 ÷ 2 = x - 4

20 + 12 ÷ 2 = 20 - 4

32 ÷ 2 = 16

16 = 16

Buffer stock is the level of stock ​

Answers

Answer:

akuy3uwujwu

Step-by-step explanation:

uwoedihwo

Answer:

Safety stock inventory, sometimes called buffer stock, is the level of extra stock that is maintained to mitigate risk of run-out for raw materials or finished goods due to uncertainties in supply or demand.

HOPE IT HELPS...

HAVE A GREAT DAY : P

What number is 40% of 720

Answers

Answer:

288

Step-by-step explanation:

Hope it helps :>

Answer:

288

Step-by-step explanation:

Hey guys I need some help; I would really appreciate it :)

Answers

Their answer is correct so you need explanation?

Help answer this!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

D move 6 units to the left and land on -9

Step-by-step explanation:

The dolphin dove down meaning that it went 6 feet below sea level. that would mean -6. If you move 6 spaces to the left, you would land on -9. Hope this helps

Answer:

D. on the number line, move 6 units to the left. End at -9, the Dolphin was 9 feet below sea level

The lateral surface area is _ square centimeters.

Answers

Answer: 24

Step-by-step explanation:

given the equation y = 2x - 8 what is the slope and the y-intercept​

Answers

Answer:

slope: 2

y intercept 0, -8

Slope is 2 and y-intercept is -8. This is because of the equation y=mx+b. M is slope and b is y intercept

State if the triangles in each pair of similar. If so, state how you know they are similar and complete the similarity statement.


triangle UTS~ ____

a. similar, AA, UED
b. similar, SSS, UDE
c. similar, SAS, UDE
d. not similar​

Answers

Answer:

triangle UTS~∆UED by AAA axiom

Triangle ABC has vertices A (6, 1), B (1,7), and C (-3, -2). The translation to create triangle A'B'C' is (x, y) + (x-1, y +2).

Which of the following will be the coordinates of the vertices of triangle A'B'C?

A (5,2), (0, -4), (0,9)
B (5,3), (0, -4), (0,8)
C (5,3), (0,9), (-4,0)
D (5,2), (1, -3), (0,9)​

Answers

Answer:

I think C is the answer




4. Patti and her friends want to see one of
two movies. One movie starts in 1 day
2 hours 20 minutes. The other movie
starts in 1 day 4 hours 10 minutes. The
later movie starts at 5:00 P.M. At what
time does the earlier movie start?

Answers

Answer:

The earlier movie starts at 1610 (4:10 PM)

Step-by-step explanation:

The later movie starts at 1700 (5:00 PM), and is in 1 day, 4 hours and 10 minutes. That means the time is __:50. Additionally, it's in 4 hours. 1700 - 400 = 1300 (1:00 PM). Now we know the time is 1350 (1:50 PM) presently.

If it's currently 1:50 PM, and the earlier movie starts 2 hours from this time tomorrow, then it begins at 1350 + 200 = 1550 (3:50PM). Take into account that there's also another 20 minutes before the movie commences, it will be 1610 (4:10 PM).

Good luck!!

a quadratic patterns has a second term equal to 1,a third term equal to -6 and fifth term equal to -14 .hence or otherwise calculate the first term of the pattern​

Answers

Answer:

first term of the pattern​ (T₁) : 10

Step-by-step explanation:

T₁  ;    1 ;    -6 ;   T₄ ;    -14  

1-T₁  ;  -6-1   ; T₄-(-6)  ; -14 -T₄    (First Tₙ-Tₙ₋₁)

-8+T₁  = T₄+13 = -2T₄-20            (2nd Tₙ-Tₙ₋₁ is constant)

T₄+13 = -2T₄-20          3T₄ = -33          T₄ = -11

-8+T₁  = T₄+13         -8 + T₁ = -11 + 13 = 2

T₁ = 10

Which is greater 1.56 or 1.29

Answers

Answer:

1.56 is greater than 1.29. (Check after the decimal point, 5 is greater than 2, so 1.56 is greater than 1.29)

Answer:

I believe that 1.56 is grater than 1.29.

hope this helps.

Erin bought 4 jars of jelly and 6 jars of peanut butter for $19.32. Adam bought 3 Jars of jelly
and 5 jars of peanut butter for $15.67.
Use x for jars of jelly and y for jars of peanut butter, write the equation for either Erin or Jack.
DO NOT SOLVE
(Worth 10 points)

Answers

Here is your system of equations in two variables.

Equation for Erin:

4x + 6y = 19.32

Equation for Adam:

3x + 5y = 15.67

That's it.

a sector has a radius of 4 and a central angle of 40 degrees. Find the arc length and area of sector

Answers

Answer:

Step-by-step explanation:

θ = 2π/9 radians

arc length = rθ = 8π/9 units

area of sector = πr²/9 = 16π/9 square units

Please help me ASAP
WILL MARK BRAINLY

3. When using the vertical method to multiply polynomials, your like terms must be lined up in what
rows
columns
descending order
ascending order

Answers

Answer:

column

Step-by-step explanation:

hope it will help you

Answer:

B. Columns

Step-by-step explanation:

The volume of a cube is 125cm3.
If the cube were ice blocks, how many cubes would you need make 1KL of ice?

Answers

Answer:

8000 cubes

Step-by-step explanation:

Given that 1KL is 1 Kilo liters

Then conversion of 1KL to cm³ => 1,000,000 cm³

Therefore, since we have a cube to be 125 cm³

Hence, to find the number of cubes of ice blocks that would make 1KL

We divide 1,000,000 cm³ from 125 cm³

=> 1,000,000 ÷ 125

=> 8,000

Therefore, the correct answer is 8,000 cubes

PLEASE I NEED HELP CLICK ON THIS IMAGE

Answers

Answer:

There is no mode (B)

Step-by-step explanation:

what is a single term algebraic expression is called?

Answers

An algebraic expression which consists of one non-zero term only is called a monomial. Examples of monomials: a is a monomial in one variable a.

Expression with one term is called a 'Monomial'

Expression with two unlike terms is called a 'Binomial'.
Expression with three unlike terms is called a 'Trinomial'.

-2(n+3)=13 help plz plz plz

Answers

First move the -2 to the other side
Since it is multiplying the brackets we do the opposite and divide 13 by -2
We now have n+3=6.5
Now to get n as the subject we do the opposite of plus 3 so we minus 3 from the other side
So n=3.5

Answer:

n = -9.5 or n = -19/2

Step-by-step explanation:

all that make this true i need help

Answers

Answer:

D and E

Step-by-step explanation:

3(23+18)=123

6(18)=108.  6(19)=114.  6(20)=120.  6(22)=132.  6(24)=144

I will send a pic to you​

Answers

Answer:

agreed

Step-by-step explanation:

agreed...............................

ABCDEFGHIJKLMNOPQRSTUVWXYZ

Draw the line of reflection that reflects △ABC onto triangle Δ A'B'C'

Answers

Answer:

Step-by-step explanation:

Coordinates of the vertex A → (-4, -6)

Coordinates of the vertex A' → (6, 6)

Since, y-coordinates are same opposite in notation,

Therefore, by the rule of reflection, line of reflection will be a line parallel to y-axis.

And points A and A' will be equidistant from the line of reflection.

Midpoint between A and A' = [tex](\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})[/tex]

                                              = [tex](\frac{-4+6}{2},\frac{-6+6}{2})[/tex]

                                              = (1, 0)

Therefore, x = 1 will be the line of reflection.

what is 31/5= to pls show example

Answers

[tex]\huge\text{Hey there!}[/tex]

[tex]\large\text{What is }\mathsf{\dfrac{31}{5}}\large\text{ ?}[/tex]

[tex]\large\text{In order for you to solve for this equation you have to DIVIDE}\\\large\text{the NUMERATOR (the TOP number) from the DENOMINATOR}\\\large\text{(the BOTTOM number)}[/tex]

[tex]\mathsf{\dfrac{31}{5}=31\div5\rightarrow \bf 6\ with\ a\ remainder\ of\ 1. \ (6\ r\ 1)}[/tex]

[tex]\large\text{Thus, }\mathsf{\dfrac{31}{5}}\large\text{ is equivalent or equal to }\mathsf{6\dfrac{1}{5}}[/tex]

[tex]\boxed{\boxed{\mathsf{Answer: \bf 6\dfrac{1}{5}}}}\huge\checkmark[/tex]

[tex]\text{Good luck on your assignment and enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

Question 8 I don’t get

Answers

Answer:

Y=4x

Y is total profita

X is how many she sells

In a survey of 300 college graduates, 53% reported that they entered a profession closely related to their college major. If 9 of those survey subjects are randomly selected with replacement for a follow-up survey, what is the probability that 3 of them entered a profession closely related to their college major

Answers

Answer:

0.1348 = 13.48% probability that 3 of them entered a profession closely related to their college major.

Step-by-step explanation:

For each graduate, there are only two possible outcomes. Either they entered a profession closely related to their college major, or they did not. The probability of a graduate entering a profession closely related to their college major is independent of other graduates. This, coupled with the fact that they are chosen with replacement, means that we use the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

And p is the probability of X happening.

53% reported that they entered a profession closely related to their college major.

This means that [tex]p = 0.53[/tex]

9 of those survey subjects are randomly selected

This means that [tex]n = 9[/tex]

What is the probability that 3 of them entered a profession closely related to their college major?

This is P(X = 3).

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 9) = C_{9,3}.(0.53)^{3}.(0.47)^{6} = 0.1348[/tex]

0.1348 = 13.48% probability that 3 of them entered a profession closely related to their college major.

I need halp with one is it?

Answers

Answer: 66ft

Step-by-step explanation:

9 x 5 = 45 + 7 x 3 = 21

45+21=66

Answer:

I am pretty sure it is 66 ft

Step-by-step explanation:

If u just do the top 2x3= 6 and then u multiply 5x12=60 then you add 6 and 60 which is 66

What is the midpoint of the segment below? (-12, -3) (3, -8)

Answers

Your answer is: D.

(-9/2,-11/2) use the midpoint formula

i dont understand what im doing wrong

Answers

Answer:

8

Step-by-step explanation:

-2 x -2 = 4

4 - (-28 / 7 = -4)

4-  -4 = 8

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