A polling agency is investigating the voter support for a ballot measure in an upcoming city election. The agency will select a random sample of 400 voters from one region, Region A, of the city. Assume that the population proportion of voters who would support the ballot measure in Region A is 0.46.

Required:
What is the probability that the proportion of voters in the sample of Region A who support the ballot measure is greater than 0.50?

Answers

Answer 1

Answer:

0.0544

Step-by-step explanation:

From the given information;

The population proportion of the voters that would support the ballot measures in region A = 0.46

The random sample n = 400 voters

The required probability can therefore be computed as follows:

[tex]P[p_1>0.5] = P \bigg [ \dfrac{p_1-P_1}{\sqrt{\dfrac{P_1(1-P_1)}{n_1}}}>\dfrac{0.5-0.46}{\sqrt{\dfrac{0.46(1-0.46)}{400}}} \bigg][/tex]

[tex]P[p_1>0.5] = P \bigg [ Z>\dfrac{0.04}{\sqrt{\dfrac{0.46(0.54)}{400}}} \bigg][/tex]

[tex]P[p_1>0.5] = P \bigg [ Z>\dfrac{0.04}{\sqrt{6.21\times 10^{-4}}} \bigg][/tex]

[tex]P[p_1>0.5] = P \bigg [ Z>1.605 \bigg][/tex]

[tex]P[p_1>0.5] = 1- P [ Z<1.605 ][/tex]

Using the Excel Function =NORMDIST(1.605)

[tex]P[p_1>0.5] = 1- 0.9456[/tex]

[tex]P[p_1>0.5] =0.0544[/tex]

Therefore, the required probability = 0.0544


Related Questions

A can of paint will cover 400 square feet. What is the length of the edge of the largest square that can be painted with this can of paint?

Answers

For the area of a circle is πr² as you stated so all you do is set 400 equal to πr² and solve for r.

400=πr²/π
127.32=r²
√127.32)= r
r=11.3

Same thing for this except you use 800 instead of 400 so.

800=πr²
254.64=r²
√254.64)= r
r=15.9 or 16.0 for rounding purposes.

Un banco de México es comprado por otra institución de origen español. El nuevo director, decide fusionar la operación entre ambas instituciones donde se aprovisionen servicios de internet desde España a México. Para lograr lo anterior, ¿qué debe plantear el director como proyecto para unir ambas operaciones?

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Question:

A bank in Mexico is bought by another institution of Spanish origin. The new director decides to merge the operation between both institutions where internet services are provided from Spain to Mexico. To achieve this, what should the director propose as a project to unite both operations?

My mom translated this for me and I am writing the reply with Google Translate sorry if it sucks.

Ésta es una pregunta muy específica. Creo que dependería de la preferencia del director y de los fondos.

What were the coordinates of point B after being translated 4 units left

Answers

Answer: B' (x-4,y)

Step-by-step explanation: A figure which is moved from one location to antoher, without changing its size, shape or orientation, is a figure that went through translation.

So, when a point is translated, it means it changed its position.

Point B has x- and y-coordinates: B(x,y)

Point B' after being translated 4 units left means:

(x,y) → (x-4,y)

In other words, translated point B has coordinates

B(x-4, y)

Because moving left is saying the point is moving towards the negative "side" of the x-axis.

Answer Choices:

A) (-6, -1)

B) (6, -1)

C) (-6, 1)

Help please! I’ll give brainliest if correct!

Answers

Answer:

The formula for calculating a z-score is is z = (x-μ)/σ, where x is the raw score, μ is the population mean, and σ is the population standard deviation. As the formula shows, the z-score is simply the raw score minus the population mean, divided by the population standard deviation.

Step-by-step explanation:

Hope  his helps!

It’s B because the input 8 has more than 1 output

simplify this complex fraction 4/3/2/5

Answers

Answer:

If the question is (4/3) / (2/5), then the answer is 10/3 or 3 and 1/3

Step-by-step explanation:

What is the slope of a line parallel to the line whose equation is x+2y=10.fully reduce your answer

Answers

Answer:

slope: 0.5x

Step-by-step explanation:

1. -x +10

2. -1/ 2 = -0.5

3. 10/2 = 5

4. y = 0.5x + 5

What are the solutions of the quadratic equation? 2 x^2 – 16 x + 32 = 0

Answers

Answer:

X=4,4

Step-by-step explanation:

2 x^2 – 16 x + 32 = 0

2(x^2-8x+16)=0

X^2-(4+4)X+16=0

x^2-4x-4x+16=0

x(x-4)-4(x-4)=0

(x-4)(x-4)=0

X=4,4

So the solution is X=4,4

Write an equation in slope intercept form and in standard form for the line passing through (4,9) and perpendicular to x=-6

Answers

Answer:

Input work is the work done on a machine as the input force acts through the input distance. This is in contrast to output work which is a force that is applied by the body or system to something else. Output work is the work done by a machine as the output force acts through the output distance.Jan 15, 2020 hwgsvsd d jxvsd

dvsud sgsgs hsysvdudbd dvyd dhsgtsjd vsytwgsud gsyfwuyebdbhys. dusgcejd b

I need help on this one.

Answers

Answer: 1/3

Step-by-step explanation:

An article on polygraph testing of FBI agents indicated that the probability of a false-positive (a trustworthy person who nonetheless fails the test) is 0.25. Let x be the number of trustworthy FBI agents tested until someone fails the test. (Round your answers to four decimal places.)(a) Describe the probability distribution of x.
normalgeometric binomial(b) What is the probability that the first false-positive will occur when the third person is tested?(c) What is the probability that fewer than four are tested before the first false-positive occurs?(d) What is the probability that more than three agents are tested before the first false-positive occurs?

Answers

Answer:

???

Step-by-step explanation:

A large container for water weighs 21 pounds. If a gallon of water weighs 8.34 pounds, what is an equation that relates the weight of the water and the container, W, in pounds and the amount of water, A, in gallons?

Answers

Answer: W= 8.34A

Step-by-step explanation:

Given: Weight of a gallon of water = 8.34 pounds

Then,  weight of the water in container = (Weight of a gallon of water ) x (amount of water)

If A  = amount of water (in gallons)

W =  weight of the water in container ( in pounds)

i.e. [tex]W= 8.34A[/tex]

Hence, the required equation : W= 8.34A


Abdul has bought 30 pounds of dog food. He feeds his dog
2/3 pounds for each meal. For how many meals will the food last?

Answers

Answer: I think its 45 days

Step-by-step explanation: hope this helps

12cm and 9cm respectively, find its length. (एउटा कोठाको चार भित्ताको क्षेत्रफल 420 वर्ग
The area of four walls of a room is 420 sq. cm. If the length and breadth of the room are
area of four walls of the room? (परिमिती 32 साम
कोठाको चार भित्ताको क्षेत्रफल कति होला?)
सेमि छ । यदि उक्त कोठाको लम्बाई र चौडाई क्रमशः 12cm र 9 cm भए उचाई पत्ता
लगाउनुहोस ।​

Answers

Given Length of Cuboid = 12cm

Given Breadth of Cuboid = 9cm

Given height of Cuboid = 8cm

Total Surface area of cuboid = 2(lb + bh + hl)

where, l stands for legth of the cuboid, b stands for breadth of the cuboid and h stands for height of the cuboid.

Put the given values of l,b and h in the formula

=> Total surface area of cuboid = 2((12×9)+(9×8)+(8×12))

=> 2(108 + 72 + 96)

=> 2(180 + 96)

=> 2 × 276

=> 552 sq. cm is the total surface area of cuboid

How many decimals are between the number zero and -1

Answers

Answer:

an infinite amount

Step-by-step explanation:

Think about it this way:

A decimal between 0 and -1 is -0.1, right?

But so is -0.11...

...And -0.111, and -0.1111, and so on.

Since you can add any amount of decimal places, the number of potential decimal numbers between 0 and -1 must be infinite.

HTH :)

Which of the following ratios is not equivalent to 2:10
A.1/5
B.2/5
C.4/20
D.6/30

Answers

Answer:

D because 6/30 is not the same as 2:10

Answer:

2/5 is not equibalent to 2:10

Step-by-step explanation:

2:10

1/5 × 2 = 2/10

2/5 × 2 = 4/10

4/20÷2 = 2/10

6/30÷3 = 2/10

Which equation correctly shows the relationship between the numbers 6,560 and 656?

Answers

Answer:

656×1000

Step-by-step explanation:

Help please? Write the equation for the Red line.

Answers

Y=3/2x+7 hope this helps

There are stars to circle there are 4 stars and 2 circles how much is the ratio

Answers

Answer:

2:1

Step-by-step explanation:

The original ratio is 4:2. Divide both sides by 2. Then you get 2:1.

Answer:2 stars for every one circle

Step-by-step explanation:

hope you get what i mean if not sorry my friend

Help Number three please!!!

Answers

Step-by-step explanation:

108-ambulance

100- police

1098-child laber

HEEEEEEEEEEEELLLLLLPPPPPPPPP

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it’s either B or C and i think it’s B because square root of 67 is 8.18535277 and when that’s square root of 49 is 7 and square root of 64 is 8 and if you look at C square root of 81 is 9 but looking at square root of 67 B looks closer to that answer

Which of the restricted domains will produce an inverse function for tangent ?
X=-pi, x= pi
X=-pi/2, x=pi/2
X=0, x=pi/2
X=0, x=2pi

Answers

Answer: B) x=-pi/2 , x=pi/2

Step-by-step explanation:

Just did it!

Answer:

B

Step-by-step explanation:

Edge 2020

Assume that SAT scores are normally distributed with mean 1518 and standard deviation 325. Round your answers to 4 decimal placesa. If 100 SAT scores are randomly selected, find the probability that they have a mean less than 1500.b. If 64 SAT scores are randomly selected, find the probability that they have a mean greater than 1600c. If 25 SAT scores are randomly selected, find the probability that they have a mean between 1550 and 1575d. If 16 SAT scores are randomly selected, find the probability that they have a mean between 1440 and 1480.e. In part c and part d, why can the central limit theorem be used even though the sample size does not exceed 30?

Answers

Answer:

a. 0.2898

b. 0.0218

c. 0.1210

d. 0.1515

e. This is because the population is normally distributed.

Step-by-step explanation:

Assume that SAT scores are normally distributed with mean 1518 and standard deviation 325. Round your answers to 4 decimal places

We are using the z score formula when random samples

This is given as:

z = (x-μ)/σ/√n

where x is the raw score

μ is the population mean

σ is the population standard deviation.

n is the random number of samples

a.If 100 SAT scores are randomly selected, find the probability that they have a mean less than 1500.

For x = 1500, n = 100

z = 1500 - 1518/325/√100

z = -18/325/10

z = -18/32.5

z = -0.55385

Probability value from Z-Table:

P(x<1500) = 0.28984

Approximately = 0.2898

b. If 64 SAT scores are randomly selected, find the probability that they have a mean greater than 1600

For x = 1600, n = 64

= z = 1600 - 1518/325/√64.

z= 1600 - 1518 /325/8

z = 2.01846

Probability value from Z-Table:

P(x<1600) = 0.97823

P(x>1600) = 1 - P(x<1600) = 0.021772

Approximately = 0.0218

c. If 25 SAT scores are randomly selected, find the probability that they have a mean between 1550 and 1575

For x = 1550, n = 25

z = 1550 - 1518/325/√25

z = 1550 - 1518/325/5

z = 1550 - 1518/65

= 0.49231

Probability value from Z-Table:

P(x = 1550) = 0.68875

For x = 1575 , n = 25

z = 1575 - 1518/325/√25

z = 1575 - 1518/325/5

z = 1575 - 1518/65

z = 0.87692

Probability value from Z-Table:

P(x=1575) = 0.80974

The probability that they have a mean between 1550 and 1575

P(x = 1575) - P(x = 1550)

= 0.80974 - 0.68875

= 0.12099

Approximately = 0.1210

d. If 16 SAT scores are randomly selected, find the probability that they have a mean between 1440 and 1480

For x = 1440, n = 16

z = 1440 - 1518/325/√16

= -0.96

Probability value from Z-Table:

P(x = 1440) = 0.16853

For x = 1480, n = 16

z = 1480 - 1518/325/√16

=-0.46769

Probability value from Z-Table:

P(x = 1480) = 0.32

The probability that they have a mean between 1440 and 1480

P(x = 1480) - P(x = 1440)

= 0.32 - 0.16853

= 0.15147

Approximately = 0.1515

e. In part c and part d, why can the central limit theorem be used even though the sample size does not exceed 30?

The central theorem can be used even though the sample size does not exceed 30 because the population is normally distributed.

A quality control expert at LIFE batteries wants to test their new batteries. The design engineer claims they have a variance of 2601 with a mean life of 1191 minutes. If the claim is true, in a sample of 167 batteries, what is the probability that the mean battery life would differ from the population mean by less than 3.5 minutes?

Answers

Answer:

i do not know i will try .

Which graph shows a proportional relationship between the number of hours of renting a canoe and the total amount spent to rent the canoe?

Answers

Answer:

Uh pick a graph that is straight line and passes through 0

Step-by-step explanation:

You don't have screenshot

Answer:

This would be simaler to the answer

Step-by-step explanation:

A graph is shown. The values on the x axis are 0, 2, 4, 6, 8, 10. The values on the y axis are 0, 18, 36, 54, 72, and 90. Points are shown on ordered pairs 0, 0 and 2, 18 and 4, 36 and 6, 54 and 8, 72. These points are connected by a line. The label on the x axis is Number of Hours. The title on the y axis is Total Amount in dollars.

If y varies jointly as x and z and inversely as the square of w, and y = 3 when x = 3, Z = 10, and w = 2, then y = 4 when x = 4, z = 20, and w= 4.

True or False ?

Answers

Answer:

True ; it is true

Step-by-step explanation:

The statement that y = 4 when x = 4, z = 20, and w= 4 is not true because the constant of proportionality is not equals to 2 / 5.

What is variation?

Variation describes a simple relationship between two variables.

Therefore, y varies jointly as x and z and inversely as the square of w

y ∝ xz ∝ 1 / w²

Therefore,

y = kxz / w²

where

k = constant of proportionality

Hence,

y = 3

x = 3

z = 10

w = 2

yw² / xz = k

k = 3 × 2² / 3 × 10

k = 12 / 30

k = 6 / 15 = 2 / 5

Therefore, let's test for y = 4 when x = 4, z = 20, and w= 4.

k = 4 × 4²  / 4 × 20

k = 64 / 80

k = 16 / 20 = 4 / 5

learn more on variation here: https://brainly.com/question/17068737

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Will you always be able to use rigid transformations to verify that two shapes are congruent or not congruent? If yes, why is that the case? If not, why not? ( plz answer its a big grade plzzz thx you to whoever helps)

Answers

Answer:

Yes

Step-by-step explanation:

Joe borrowed $3,000 from the bank at a rate of 7% simple interest per year. How much interest did he pay in 6 years?

Answers

Answer:

1260

Step-by-step explanation:

I'm not 100% sure this is correct

Answer:

$1,260

Step-by-step explanation:

I = Prt

I = 3,000 (0.07) (6)

I = 3,000 (0.42)

I = 1,260

Joe paid $1,260 in 6 years.

the sum of 8.23, 7.96 and 17.65​

Answers

Answer:

इएइहेइएबे!!न्बेओएहेजेने

W
The model represents 100% of the cost of a trip to the
Bahamas
Which model represents the cost of the trip if the trip cost is
discounted 26%?

Answers

Answer:

B. 74 / 100

Explanation:

I got it right on the test :)

The formula for the circumference of a circle is: c = 2πr Solve for the radius, r, by dividing both sides by 2π. What is the formula for the radius of a circle in terms of the circumference? r = 2 pi c r = StartFraction c Over 2 pi EndFraction r = StartFraction pi Over 2 c EndFraction r = StartFraction 2 pi Over c EndFraction

Answers

Answer:

B/ r = c divided by 2 pi

Step-by-step explanation:

The formula for radius would be C / 2π

what is Circumference of circle?

The circumference of a circle is defined as the linear distance around it.

C=2πr

Given:

c = 2πr

To find the expression for radius we have to follow the steps

c = 2πr

r= c/2π

Hence, the expression for radius is c/2π

Learn more about circumference of circle here:

https://brainly.com/question/15525194

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