The mayor of a town has proposed a plan for the annexation of a new bridge. A political study took a sample of 1100 voters in the town and found that 54% of the residents favored annexation. Using the data, a political strategist wants to test the claim that the percentage of residents who favor annexation is more than 50%. Determine the P-value of the test statistic. Round your answer to four decimal places.

Answers

Answer 1

Answer:

The p-value is  [tex]p-value = 0.0039854[/tex]

Step-by-step explanation:

From the question we are told that

   The sample size is  n = 1100

   The population proportion is  p = 0.50

  The sample proportion is  [tex]\^ p = 0.54[/tex]

The null hypothesis is  [tex]H_o : p = 0.50[/tex]

The alternative hypothesis is [tex]H_a : p > 0.50[/tex]

 Generally the test statistics is mathematically represented as

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

=>   [tex]z = \frac{ 0.54 - 0.54 }{ \sqrt{\frac{ 0.50 (1 - 0.50)}{1100} } }[/tex]

=>  [tex]z = 2.6533[/tex]

Generally from the z-table the probability of 2.6533 for a right tailed test is  

         [tex]p-value = 0.0039854[/tex]


Related Questions

Find the value of the derivative (if it exists) at the indicated extremum. (If an answer does not exist, enter DNE.)

Answers

Answer:

The answer is "0".

Step-by-step explanation:

Please find the correct question in the attached file.

Given value:

[tex]\to f(x) =\frac{x^2}{x^2+5}\\\\[/tex]

Formula:

[tex]\bold{\frac{d}{dx} \frac{u}{v} = \frac{ v \frac{du}{dx} - u \frac{dv}{dx}}{v^2}}[/tex]

[tex]\to f'(x) =\frac{(x^2+5) 2x -2x^3 (2x)}{(x^2+5)^2}\\\\\to f'(0) =\frac{(0^2+5)2(0) -4(0)^4}{(0^2+5)^2}\\\\\to f'(0) =\frac{(0)(5) -2(0)}{(5)^2}\\\\\to f'(0) =\frac{0 - 0}{(5)^2}\\\\\to f'(0) =\frac{0}{25}\\\\\to f'(0) = 0[/tex]

Suppose that 28 crayons, of which four are red, are divided randomly among Jack,Marty, Sharon, and Martha (seven each). If Sharon has exactly one red crayon, what is the probability that Marty has the remaining three?

Answers

Answer:

0.0263

Step-by-step explanation:

Samir was standing facing East. He turned to his right and
walked 5 metres, again turned to his right and walked 7 metres.
Then he turned to his left and walked 4 metres. Which direction
is he facing now?

Answers

Answer: he’s facing south now

Step-by-step explanation: started in east then turned south then west then back to south

Answer:

He is now facing to the south, this is because,

He is currently facing east, and right of east = south

Then one more right turn would give, right of south = west

Next, he turns left of west = south

So, he is now facing to the south direction

Thanks!

77% Complete

Please enter a number in response to the following question.
A new factory is growing fast and hiring a lot of new workers. Every week, the total number of workers doubles in size. If it takes 12 weeks for the factory to be at full capacity, how many weeks would it take for the factory to be at half capacity?

Answers

Answer:

We know that the number of workers doubles every week.

This implies that the number of workers of the previous week is exactly half of the current one's.

So, it took 11 weeks for the factory to be at half capacity.

Two people start walking at the same time in the same direction. One person walks at 8 mph and the other

person walks at 3 mph. In how many hours will they be 1.25 miles apart?

Answers

Answer:

0.25hours  

Step-by-step explanation:

Data

speed v1=8mph

speed v2=3mph

distance= 1.25

time t=?

speed= distance/time

distance=speed*time

1.25=8*t-3*t

1.25=8t-3t

1.25=5t

t=1.25/5

t=0.25hours

In minutes it is 15min

Monica bowled 3 games. Her scores were 175, 142, and 133. What was her mean, or average, score?

Answers

Answer:

monicas mean score is 150

Step-by-step explanation:

beacause 3 games divide 142 and 175 133 d

Her average is 150. You add all the numbers together and then divide by how many numbers there are. 175+142+133=450. 450 divided by 3 is 150.

. Lightning Strikes It has been said that the probability of being struck by lightning is about 1 in 750,000, but under what circumstances? Below are listed the numbers of deaths from lightning since 1996. Golf/ball field Boating/ in water Outside/camping Construction Under a tree Phone Other 1996–2000 16 23 117 9 40 0 30 2001–2005 17 16 112 3 35 0 23 2006–2010 15 17 91 0 42 1 16 Choose one fatality at random and find each probability. a. Given that the death was after 2000, what is the probability that it occurred under a tree? b. Find the probability that the death was from camping or being outside and was before 2001. c. Find the probability that the death was from camping or being outside given that it was before 2001

Answers

Complete Question

The complete question is shown on the first uploaded image

Answer:

a

      [tex]P(U |D ) = 0.198 [/tex]

b

   [tex]P(O\ n \ B) = 0.188[/tex]

c

  [tex]P(O | B) =   0.498 [/tex]

Step-by-step explanation:

The total number of deaths is mathematically represented as

      [tex]T   =  16 +  23 + \cdots  +  16[/tex]

        [tex]T   =623 [/tex]

The total number of deaths in 1996 - 2000 is mathematically represented as

     [tex]T_a =  16 +  23+ \cdots + 30[/tex]

      [tex]T_a = 235 [/tex]

The total number of deaths in 2001 - 2005 is mathematically represented as

     [tex]T_b =  17 +  16 + \cdots + 23[/tex]

      [tex]T_b = 206 [/tex]

The total number of deaths in 2006 - 2010 is mathematically represented as

     [tex]T_c =  15 +  17 + \cdots + 16[/tex]

      [tex]T_d = 182 [/tex]

Generally the the probability that it would occur under the tree given that the death was  after  2000 is mathematically represented as

     [tex]P(U |D ) = \frac{P(A \ n\  U )}{P(A)}[/tex]

Here  [tex]P(A \ n\  U )[/tex] represents the probability that it was after 2000 and it was under the tree and this is mathematically represented as

         [tex]P(A \ n\  U )   = \frac{Z}{ T}  [/tex]

Here Z is the total number of death under the tree after 2000 and it is mathematically represented as

         [tex]Z =  35 +  42[/tex]

=>       [tex]Z =  77 [/tex]

=>       [tex]P(A \ n\  U )   = \frac{77}{ 623}  [/tex]

=>      

Also

     [tex]P(A)[/tex] is the probability of the death occurring after 2000  and this is mathematically represented as

        [tex]P(A) =  \frac{T_b  +  T_c}{ T}[/tex]

=>      [tex]P(A) =  \frac{ 206+  182}{623}[/tex]

=>  

So

         [tex]P(U |D ) = \frac{\frac{77}{ 623} }{ \frac{ 206+  182}{623}}[/tex]

=>      [tex]P(U |D ) = 0.198 [/tex]

Generally the probability that the death was from camping or being outside and was before 2001 is mathematically represented as

      [tex]P(O | B) = \frac{T_z}{ T}[/tex]

Here [tex]T_z[/tex] is the total number of death outside / camping before 2001  and the value is  117  

So

            [tex]P(O \ n \ B) = \frac{117}{623}[/tex]

=>          [tex]P(O\ n \ B) = 0.188[/tex]

Generally the probability that the death was from camping or being outside given that it was before 2001 is mathematically represented as

       [tex]P(O | B) =  \frac{ P( O \ n \ B)}{ P(B)}[/tex]

Here [tex]P(B)[/tex] is the probability that it was before 2001 , this is mathematically represented as  

          [tex]P(B ) =  \frac{T_a}{T}[/tex]

=>       [tex]P(B ) =  \frac{235}{623}[/tex]

So

          [tex]P(O | B) =  \frac{ \frac{117}{623}}{ \frac{235}{623}}[/tex]

=>       [tex]P(O | B) =   0.498 [/tex]

Select two ratios that are equivalent to 27:927:927, colon, 9. Choose 2 answers: Choose 2 answers: (Choice A) A 3:13:13, colon, 1 (Choice B) B 9:39:39, colon, 3 (Choice C) C 6:36:36, colon, 3 (Choice D) D 9:69:69, colon, 6 (Choice E) E 12:312:3

Answers

Answer:

A. [tex]Ratio = 3:1[/tex]

B. [tex]Ratio= 9:3[/tex]

Step-by-step explanation:

Given

[tex]Ratio= 27:9[/tex]

Required

Determine equivalent ratios:

[tex]Ratio= 27:9[/tex]

First, we simplify the ratio to the least possible

[tex]Ratio = 27/9:9/9[/tex]

[tex]Ratio = 3:1[/tex]

By comparison with the given options, we have A and B as answer.

See Proof Below

Proof: A

Compare this to the simplified ratio (given), we have:

[tex]Ratio = 3:1[/tex] = [tex]Ratio = 3:1[/tex]

Proof B

[tex]Ratio= 9:3[/tex]

Simplify the ratio to the least possible

[tex]Ratio= 9/3:3/3[/tex]

[tex]Ratio= 3:1[/tex]

Compare this to the simplified ratio (given), we have:

[tex]Ratio = 3:1[/tex] = [tex]Ratio = 3:1[/tex]

Answer:

9:3 and 3:1

Step-by-step explanation:

I just did this lesson

I really need help. currently failing math

Answers

Answer:

3/10=0.3

Step-by-step explanation:

There are 5 chairs to every 2 tables in class. Which ratio is equivalent to 5:22
35:14
15:12
10:6
40:18

Answers

Answer:if your meaning 5:2 the answer would be 35:14

Step-by-step explanation:

You simply would have the find the equal to it so by multiplying both by 7 would make it equal. 7 × 5 is 35 and 7 × 2 is 14

what is the midpoint of the line segment (-6,3) (-10,7)

Answers

Answer:

(-8,5)

Step-by-step explanation:

its what comes in between the two

if angle 4 equals 50 degrees find the measure of angle 5 will mark brainiest​

Answers

Answer:

∠5 = 50°

Step-by-step explanation:

its alternate internal angles:

∠4 ≅ ∠5 (angle 4 is congruent or equal to alternate internal angle)

therefore,

∠5 = 50°

The measure of angle 5 should be considered as the 50 degrees when angle 4 should be equivalent to 50 degrees.

What is alternate internal angles?

Alternate interior angles should be created via intersecting the 2 parallel lines in a transversal way. It should be located that lies between the two parallel lines.

Since the given diagram shows the alternate internal angles

Since angle 4 is 50

So angle 4 should be congruent or equivalent to alternate internal angle)

So angle 5 should be 50 degrees.

learn more about an angle here: https://brainly.com/question/21103473

Equivalent Expressions

Warm-Up

Active

Evaluating an Expression

Complete the statements.

Evaluate (15 - 4x) + 5 when x = 3.

Substitute the given value for the

Evaluate within

parentheses.

to simplify.

Use the

inside the

Evaluate exponents.

First, complete the

parentheses.

Next, complete the

parentheses.

Last, complete the addition.

inside the

Multiply and divide

from left to right.

The value is

Add and subtract

from left to right.

Answers

Answer:

Complete the statements.

Substitute the given value for the

✔ variable

.

Use the

✔ order of operations

to simplify.

First, complete the  

✔ multiplication

inside the parentheses.

Next, complete the

✔ subtraction

inside the parentheses.

Last, complete the addition.

The value is

✔ 8

.

Step-by-step explanation:

Plz give me brainlest

Answer:

Variable, order of operations, multiplication, subtraction, 8.

Step-by-step explanation:

Got it right Edge2021

What is the answer for number 6

Answers

Answer:

x=6

Step-by-step explanation:

x−7=13

Step 1: Add 7 to both sides.

x−7+7=13+7

x=20

Answer:

x=20

.
Gina has been offered a job as a dog walker. The job pays $10 each week plus $5 per dog walked. Gina’s goal is to earn $75 each week. What is the number of dogs Gina must walk in order to reach her weekly goal?

Answers

Answer:

13

Step-by-step explanation:

Use the given domain to find the range of the function: f(x)=−x3+x2+5, D={−2, −1, 2}

Answers

Answer:

The range of the function is [tex]R=\{17, 5, 1\}[/tex].

Step-by-step explanation:

Let [tex]f(x) = -x^{3}+x^{2}+5[/tex]. From Function Theory we must remember that the range of function corresponds to the set of images associated to each elemenf from domain. In this case, the function has a domain composed of three elements and we need to find the image of each element:

x = -2

[tex]f(-2) = -(-2)^{3}+(-2)^{2}+5[/tex]

[tex]f(-2) = 8+4+5[/tex]

[tex]f(-2) = 17[/tex]

x = -1

[tex]f(-1) = -(-1)^{3}+(-1)^{2}+5[/tex]

[tex]f(-1) = 1-1+5[/tex]

[tex]f(-1) = 5[/tex]

x = 2

[tex]f(2) = -(2)^{3}+(2)^{2}+5[/tex]

[tex]f(2) = -8+4+5[/tex]

[tex]f(2) = 1[/tex]

The range of the function is [tex]R=\{17, 5, 1\}[/tex].

The number of undergraduates at Johns Hopkins University is approximately 2000, while the number at Ohio State University is approximately 40,000. A simple random sample of 50 undergraduates at Johns Hopkins University will be obtained to estimate the proportion of all Johns Hopkins students who feel that drinking is a problem among college students. A simple random sample of 50 undergraduates at Ohio State University will be obtained to estimate the proportion of all Ohio State students who feel that drinking is a problem among college students. What can we conclude about the sampling variability in the sample proportion, p with hat on top, calculated from the sample at Johns Hopkins as compared to that in the sample proportion from Ohio State

Answers

Answer:

The answer is "Option C"

Step-by-step explanation:

please find the complete question in the attached file:

Its ratio of samples by Johns Hopkins will be about the equivalent than those from Ohio State because sample varying depending on the sample, each of them would have the same variability also like the amount, that's why he assumes the variance of sample sizing in the sample percentage p with both the hat above, relative to the confidence interval in Ohio State determined from its Johns Hopkins test.

Cell phone provider A offers a plan that costs 8e per month

Answers

Answer:

then can I buy one?

Step-by-step explanation:

Answer:

8e=8*e= 21.7462546277

its per mounth so we divide by 30 or 31 if it is 21.7462546277/30= 0.7248751543

if it is 21.7462546277/31 = 0.7014920848

The table shows the unit prices (per pound) of tomatoes
at different stores.
Store
Tomato Unit Prices
Jamal needs to buy 3.25 lb of tomatoes. If Jamal only
has $10, from which store(s) could he purchase his
tomatoes? Check all that apply.
Store A
Store B
Store C
Store D
Store E
A
$3.10 per pound
B
$3.02 per pound
с
$2.97 per pound
D
$3.07 per pound
E
$3.09 per pound

Answers

Answer:

store B, C, and D

Step-by-step explanation:

What is the best estimate of 49.13 + 0.58?

A: 80
B: 40
C: 25
D: 50

Answers

i believe the answer is D

Answer:

D.50

Step-by-step explanation:

its the closes whole number to 49.13

compare the price per dozen eggs at the local grocery store and at the supermarket Edward bought 8 dozen eggs in the supermarket how much did he save by buying eggs at the supermarket instead of the local store​

Answers

Answer:

8

Step-by-step explanation:

i'm a 12 year old girl and i get it  so you have to think about the local store  would be half witch would be 4 so the answer is 8

Evaluate the expression when y=-2.
y2 +6y-4

Answers

Answer:-12

Step-by-step explanation:

Evaluate 12x−3y when x=−14 and y=3.

Answers

Answer:

-177

Step-by-step explanation:

12(-14) -3(3)

-168-9

-177

Answer:

-177

Step-by-step explanation:

Plug in -14 for x and 3 for y:

12(-14) - 3(3)

Note that when you multiply a positive and a negative number, your answer will be negative.

Multiply:

12 * -14 = -168

-3 * 3 = -9

Combine the terms:

-168 + (-9) = -168 - 9 = -177

-177 is your answer.

~

Find the exponential function that satisfies the given conditions: initial value = 70, decreasing at a rate of 0.43% per week

Answer choices:
A) f(t) = 70 x 0.9957^t
B) f(t) = 70 x 1.43^t
C) f(t) = 0.43 x 0.3^t
D) f(t) = 70 x 1.0043^t

Answers

B) f(t) = 70 x 1.43^t

hello I need help on it pls ​

Answers

Answer:

19.5

Step-by-step explanation:

find the value of x. PLEASE HELP!!!!!

I need to show my work.

Answers

Answer:

x-60

Step-by-step explanation:

Well the expressions lie on a straight line so I know that both of the added together will equal 180.

So the equation looks like this-(x-1+2x+1=180)

So when I substitute 60 in the equation it looks like this-(60-1+2(60)+1=180)

To solve-60-1+120+1::59+120+1::60+120

180

231km 118m - 485km 829m in the smallest unit

Answers

Answer:

Uhhhhhh

Step-by-step explanation:

ABUNDA LA CACA BDHDHENSNGAGVD

Answer:

hard

Step-by-step explanation:

Robinson's Doughnut Factory produces 21,600 doughnuts every day. They

have a fleet of 9 delivery trucks. If the doughnuts are divided evenly, how

many doughnuts will be loaded onto each truck?

Answers

Answer:

2400 doughnuts

Step-by-step explanation:

Given that,

Robinson's Doughnut Factory produces 21,600 doughnuts every day.

No. of delivery trucks = 9

We need to find the no of doughnuts will be loaded onto each truck. Let there are n doughnuts. It can be calculated by dividing 21,600 by 9.

So,

[tex]n=\dfrac{21600}{9}\\\\n=2400[/tex]

So, there are 2400 doughnuts that will be loaded onto each truck.

function f(x) has a slope of 3/2 and a y-intercept of 6. explain how the graph of f(x) could be used to find the x-intercept

Answers

Answer:

x - intercept = -4

Step-by-step explanation:

We are told the function f(x) has a slope of 3/2 and a y-intercept of 6.

From general line equation, the formula is; y = mx + c

Where m is the slope and c is the intercept.

Thus, the equation is;

f(x) = (3/2)x + 6

Now,to find the x-intercept on the graph, it will be at a point where f(x) = 0.

Thus let's put 0 for f(x) to find the x-intercept.

0 = (3/2)x + 6

(3/2)x = -6

x = -6 × 2/3

x = -4

Answer:

x=(x-4)

Step-by-step explanation:

Find the x-coordinate of the point that crosses the x-axis. The x-intercept is -4

13(6x – 5) – x = 13 – 2(x + 1)

Answers

Answer:

x= 76/79

Step-by-step explanation:

isolate the variable by dividing each side by factors that don't contain a variable (x).

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