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Answer:

a. 0.87

b. The margin of error is of 0.0124.

c. The 90% confidence interval for the population proportion of adults who think the future health of Social Security is a major economic concern is (0.8576, 0.8824).

d. The 95% confidence interval for this population proportion is (0.8553, 0.8847).

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 z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

In which

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

The margin of error is of:

[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

The confidence interval is:

[tex]\pi \pm M[/tex]

a. What is the point estimate of the population proportion of adults who think the future health of Social Security is a major economic concern.

The sample proportion, that is, 1740 out of n = 2000. So

[tex]\pi = \frac{1740}{2000} = 0.87[/tex]

0.87 is the point estimate.

b. At 90% confidence, what is the margin of error?

90% confidence level

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

Then the margin of error is of:

[tex]M =  z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

[tex]M =  1.645\sqrt{\frac{0.87*0.13}{2000}}[/tex]

[tex]M = 0.0124[/tex]

The margin of error is of 0.0124.

c. Develop a 90% confidence interval for the population proportion of adults who think the future health of Social Security is a major economic concern

[tex]\pi - M = 0.87 - 0.0124 = 0.8576[/tex]

[tex]\pi + M = 0.87 + 0.0124 = 0.8824[/tex]

The 90% confidence interval for the population proportion of adults who think the future health of Social Security is a major economic concern is (0.8576, 0.8824).

d.

95% confidence level

So [tex]\alpha = 0.05[/tex], z is the value of Z that has a p-value of [tex]1 - \frac{0.05}{2} = 0.975[/tex], so [tex]Z = 1.96[/tex].

Then the margin of error is of:

[tex]M =  z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

[tex]M =  1.96\sqrt{\frac{0.87*0.13}{2000}}[/tex]

[tex]M = 0.0147[/tex]

The confidence interval will be of:

[tex]\pi - M = 0.87 - 0.0147 = 0.8553[/tex]

[tex]\pi + M = 0.87 + 0.0147 = 0.8847[/tex]

The 95% confidence interval for this population proportion is (0.8553, 0.8847).

I believe the difference is where it is made ^^

maggi is made in India and pasta is made in Italy

they may also have different sauces and spices used which also helps differ between the two :3

1. Maggi is Maggie and Pasta is Pasta.

2. Maggie can be made in 2 minutes. Pasta require at least 10 to 15 minutes.

3. Maggie is generally accompanied with veggies. Pasta is accompanied with sauses.

4. Maggie stick together like pudding in the lunch box. Pasta is unaffected.

Step-by-step explanation:

the correct one is b - 9 since sum of all angles of a triangle is 180

Answer:

3 pints = 6 cups

Step-by-step explanation:

Formula: multiply the volume value by 2

Answer:

6 cups

Step-by-step explanation:

1 pint = 2 cups

3 pints = 3x2 cups

3 pints = 6 cups

If this helps please mark as brainliest

9514 1404 393

Answer:

  x = 85°

Step-by-step explanation:

Consecutive interior angles where a transversal crosses parallel lines are supplementary.

  x = 180° -95° = 85°

  y = 180° -60° = 120°

Answer:

26

Step-by-step explanation:

5 × 4 = 20 (rectangle)

8-5 = 3 (triangle)

3×4÷2 = 6

20+6 = 26

Answer:

B. parallelogram

Step-by-step explanation:

Given

See attachment for quadrilateral

Required

Select the type of quadrilateral

From the attached image, we have:

[tex]DE = FG[/tex] -- Opposite, Parallel and Equal

[tex]EF = GD[/tex] -- Opposite, Parallel and Equal

Since all 4 sides are not equal, then it is neither a square; nor a rhombus

Hence, the shape is a parallelogram

Answer:

0

Step-by-step explanation:

=> m = 3 -3/7+5

=> m = 0/12

=> m = 0

got u

Step-by-step explanation:

the answer is 10x+20

Answer:

Hello, mizuki here to help!

The correct answer would be C

Step-by-step explanation:

Ok, so the total of homework he got was 50, and the number of homework he got in monday was 16.

So.... it should be expressed as 16/50 which would be 0.32

Answer:

0.32

Step-by-step explanation:

Hope this helps

Answer: is 27 quarts

Step-by-step explanation:

Answer: 27 quarts

Step-by-step explanation:

6 gallons is 24 quarts. Add the 3 to get 27. Formula: Gx4= Q

6x4=24 Plus the 3 extra= 27 quarts Hope this Helps uwu

Answer: (3, 8)

Hope it helps :)

The point graphed on the coordinate plane is either (3,8) or (8,8), depending on whether the horizontal axis is labeled from left to right or right to left.

A graph is a visual representation of data or a mathematical equation. It is used to show the relationship between two or more variables, usually depicted on the horizontal and vertical axes of the graph.

The given points are of the form (x,y), where x is the horizontal axis coordinate (also known as the x-axis) and y is the vertical axis coordinate (also called the y-axis).

Each point in the given options is represented by its (x,y) coordinates. Based on the options provided, we must determine which point is graphed on the coordinate plane.

So, to accomplish this, we simply compare the (x,y) coordinates of each option to the coordinates on the graph and select the option that matches.

Thus, (3,8) or (8,8) can be the coordinate plane.

For more details regarding graph, visit:

https://brainly.com/question/17267403

#SPJ7

Answer:

9

Step-by-step explanation:

Answer:

[tex]m=\dfrac{-2}{3}[/tex]

Step-by-step explanation:

The given points are :

(-7,2) and (-4,0)

We have,

x₁ = -7, y₁ = 2, x₂ = -4 and y₂ = 0

The formula for the slope of the line is given by :

[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]

Put all the values,

[tex]m=\dfrac{0-2}{(-4)-(-7)}\\\\m=\dfrac{-2}{3}[/tex]

So, the slope of the line is equal to [tex]-\dfrac{2}{3}[/tex].

Answer:

Français is a new digital currency developed by Stanford PhDs and the other is the first team accept a girl for playing with the bear who heart

Answer:

How many centimeters of lace are use to decorate its side of handkerchief.

22 cm long, 20 cm wide

Multiplication

22 x 20 = N

22 cm x 20 cm = 440 square centimeters

440 square cm

Answer:

im confused q or a??

Step-by-step explanation:

Answer:

answer is 3^2

hopefully this helps someway

Answer: its B

Step-by-step explanation:

because the circle is open and its the greater than sign

Answer:

E

Step-by-step explanation:

You use subtraction property of equality to get rid of that 4.

Subtract 4 from both sides basically.

You get 2x > 6

Then you divide both sides by 2 to get x > 3

Then you graph it.

So it starts on point 3, and since x is greater than 3, it goes to points greater than 3, so 4, 5, 6, ect. but it never goes below or on 3.

The graph starts on three, as 3.00000000000000001 is a viable solution, but  since it says > instead of the underlined >, it is an open circle like o---->

So it is E.

Answer:

7 cm

Step-by-step explanation:

base area = (base length x base height)/2 = (2x6)/2 = 6 cm^2

height = V / base area = 42 / 6 = 7 cm

Answer:

[tex]2x^2 - 50 = 0 \\\\2(x^2 - 25) = 0\\\\(x^2 -5^2 ) = 0\\\\(x-5)(x+5) = 0\\\\x = 5, -5[/tex]

Answer:

Hello! answer: 10

Step-by-step explanation:

Formula for area of squares: base × height

Formula for area of triangles: base × height ÷ 2

2 × 2 = 4

2 × 2 ÷ 2 = 2

4 × 2 ÷ 2 = 4

4 + 2 + 4 = 10 therefore the area is 10 hope that helps!

Answer:

A.

Step-by-step explanation:

9514 1404 393

Answer:

  21 yards

Step-by-step explanation:

The area of a quadrilateral with diagonals that are right angles to each other is given by ...

  A = (d1)(d2)/2 . . . . where d1 and d2 are the lengths of the diagonals

  493.5 yd² = (47 yd)(BD)/2 . . . . . . . . . . fill in the given information

Dividing by the coefficient of BD, we have ...

  (2)(493.5 yd²)/(47 yd) = BD = 21 yd

Answer:

Step-by-step explanation:

First method information:

Sample size  n₁  = 549

x₁ ( people ignoring on-line harassment )  =  412

Proportion of people ignoring on-line harassment  p₁

p₁ =  412/549   p₁  =  0,75   q₁ =  1  -  p₁    q₁ = 0,25

Second method ( people chosen to respond)

Sample size   n₂  =  368

number of people responding   x₂  = 305

Proportion of people responding

p₂ =  305/ 368    p₂ =  0,83   then  q₂  =  0,17

a) Looking for differences in the approachs

Hypothesis test:

Null Hypothesis                     H₀         p₁  =  p₂

Alternative Hypothesis         Hₐ         p₁  ≠  p₂

Alternative Hypothesis indicates that the test is a two-tail test

Choosing a confidence interval  CI = 95 % then a significance level is       α = 5%     α  = 0,05  and from z-table we get  z(c) =  1.64

To calculate z(s)

z(s)  =  (  p₁  -  p₂ ) / EED

EED = √  p₁*q₁)/n₁  +  (p₂*q₂)n₂

EED = √  (0,75*0,25)/549   +  0,83*0,17)/368

EED = √ 3,41 *10⁻⁴   +  3,83*10⁻⁴

EED =   10⁻² *√ 3,41 + 3,83

EED =   10⁻² * 2,69

EED = 0,0269

z(s)  =  (  p₁  -  p₂ )/0,0269

z(s)  = -  0,08 / 0,0269

z(s)  =  - 2,97

p-value for z(s)  is  pvalue  = 0,0015

Comparing  z(s)  and  z(c)   modules

z(s) > z(c)  therefor z(s) is in the rejection region we have to reject H₀ and claim that there is a difference between the proportions

b) How large is the difference

Answer:

It's B

Step-by-step explanation:

circumference of circle= 2x3.14r

1) radius is 9

2x3.14x9

18x3.14= 56.52

2) radius is 8

2x3.14x8

16x3.14= 50.24

3) radius is 5

2x3.14x5

10x3.14= 31.4

Answer:

Phrases 2 and 4.

Step-by-step explanation:

6.5x+1.5<21

The sum of 1.5 and the product of 6.5 and a number is no greater than 21.

The product of 6.5 and a number, when increased by 1.5 is at most 21.

HOPE IT HELPS

(FROM CROSS)