The mayor of a town has proposed a plan for the construction of an adjoining bridge. A political study took a sample of 1300 voters in the town and found that 38% of the residents favored construction. Using the data, a political strategist wants to test the claim that the percentage of residents who favor construction is over 35%. Testing at the 0.05 level, is there enough evidence to support the strategist's claim?

Answers

Answer 1

Answer:

We reject H₀, we have enough evidence to support the claim that the porcentage of residents who favor construction is over 35%

Step-by-step explanation:

Sample size    n  = 1300

Sample  proportion   p = 38 %      =  0,38   then  q = 62%   q =  0,62

The size of the sample is enough to consider the binomial distribution can approximate to normal distribution

p*n  =  1300*0,38     q*n  =  1300*0,62  

p*n > 10    q*n> 10

Population proportion   35%        p₀  = 35 %    p₀  = 0,35

Hypothesis Test :

Null Hypothesis                                         H₀           p = p₀

Alternative Hypothesis                             Ha           p  > p₀

The hypothesis test is a one-tail test to the right

Significance Level   α  =  0,05  we go to z-table and find z(c)

z(c) =  1,64

To calculate  z(s)

z(s)  =  (  p  -  p₀ ) / √ p*q/ n

z(s)  =  0,38  -  0,35  / √ ( 0,38 * 0,62) / 1300

z(s)  =  0,03 / 0,013

z(s)  =  2,307

Comparing  z(c)  and  z(s)

z(s)  >  z(c)      2,307  >  1,64

z(s)  is in the rejection region for H₀, we must reject H₀

We have enough evidence to support the claim


Related Questions

On what interval(s) of x does f have positive concavity?


On what interval(s) of x does f have negative concavity?

Answers

Answer:

-5 that oneeksssoossdos

(3x² + 2x – 4)–(2x²+x-1)
solve the polynomial

Answers

Answer:

x ^2+x-3

Step-by-step explanation:

X/5>7 pick a solution that satisfies the inequality
-44
34
44
-34

Answers

Answer:

44

Step-by-step explanation:

44÷5 is 8.8 which is greater than 7

Answer:

x=44

Step-by-step explanation:

Divide each number by 5

-44/5 = -8.8

34/5 = 6.8

44/5=8.8

-34/5=-6.8

8.8 is the only one greater than 7 so 44 is the only one that satisfies the inequality

A consumer testing service is commissioned to rank the top 3 brands of laundry detergent. A total of 10 brands are to be included in the study. In how many ways can the consumer testing service arrive at the final ranking

Answers

Answer:

120ways

Step-by-step explanation:

This question bothers combination. Combination has to do with selection.

Given

Total number of brands = 10

If we the service is to rank the top 3, this can be done in 10C3 number of ways.

10C3 = 10!/(10-3)!3!

10C 3 = 10!/7!3!

10C3 = 10*9*8*7!/7!3!

10C3 = 10*9*8/6

10C3 = 720/6

10C3 = 120

Hence it will take 120ways for the consumer testing service to arrive at the final ranking

E
Learning Task 2: Solve each proportion. Write your answer in your notebook
=
1) 5/12 = 35/n
2) n/52 = 180/ 120
3) 18/n = 21/28
4) n/4 = 24/6
5) 10/16 = n/56
11
PIVOT 4A CALABARZON Math G6​

Answers

Answer:

1) [tex]n = 84[/tex]

2) [tex]n = 78[/tex]

3) [tex]n = 24[/tex]

4) [tex]n = 16[/tex]

5) [tex]n = 35[/tex]

Step-by-step explanation:

To solve each proportion, we apply cross multiplication.

Question 1:

[tex]\frac{5}{12} = \frac{35}{n}[/tex]

[tex]5n = 35*12[/tex]

Simplifying both sides by 5

[tex]n = 7*12 = 84[/tex]

Question 2:

[tex]\frac{n}{52} = \frac{180}{120}[/tex]

[tex]120n = 52*180[/tex]

Simplifying both sides by 20

[tex]6n = 52*9[/tex]

Simplifying by 3

[tex]2n = 52*3[/tex]

Simplifying by 2

[tex]n = 26*3 = 78[/tex]

Question 3:

[tex]\frac{18}{n} = \frac{21}{28}[/tex]

[tex]21n = 18*28[/tex]

Simplifying both sides by 7

[tex]3n = 18*4[/tex]

Simplifying both sides by 3

[tex]n = 6*4 = 24[/tex]

Question 4:

[tex]\frac{n}{4} = \frac{24}{6}[/tex]

[tex]\frac{n}{4} = 4[/tex]

[tex]n = 16[/tex]

Question 5:

[tex]\frac{10}{16} = \frac{n}{56}[/tex]

[tex]16n = 56*10[/tex]

Simplifying by 2, both sides

[tex]8n = 56*5[/tex]

Simplifying by 8, both sides

[tex]n = 7*5 = 35[/tex]

The given expressions can be evaluated by using the arithmetic operations in order to find the value of 'n' in each case.

1) 5/12 = 35/n

Cross multiply in the above expression.

5n = 35 [tex]\times[/tex] 12

Further, simplify the above expression.

n = 84

2) n/52 = 180/120

Cross multiply in the above expression.

180n = 120 [tex]\times[/tex] 52

180n = 6240

Divide 180 by 6240 in the above expression.

n = 34.67

3) 18/n = 21/28

Cross multiply in the above expression.

18 [tex]\times[/tex] 28 = 21n

504 = 21n

Divide 504 by 21 in the above expression.

n = 24

4) n/4 = 24/6

Cross multiply in the above expression.

6n = 24 [tex]\times[/tex] 4

6n = 96

Divide 96 by 6 in the above expression.

n = 16

5) 10/16 = n/56

Cross multiply in the above expression.

10 [tex]\times[/tex] 56 = 16n

560 = 16n

Divide 560 by 16 in the above expression.

n = 35

For more information, refer to the link given below:

https://brainly.com/question/13101306

Evaluate 2xcubed if x= 3/4

Answers

9514 1404 393

Answer:

  27/32

Step-by-step explanation:

2x³ for x = 3/4 is ...

  2(3/4)³ = 2·3³/4³ = 2·27/64 = 27/32

In Jamie's closet the ratio of pairs of boots to pairs of sneakers is 3:6. If she has 6 more pairs of sneakers
than boots, how many pairs of boots does she have?

Answers

6 pairs of boots

mark me brainliest if the answer is correct, thank you in advance :)

What does 9 + 15 = in distributive property to factor out the greatest common factor?

Answers

Answer:

3(3+5)

Step-by-step explanation:

first, you have to find the greatest common factor of 9 and 15, which is 3.

then, you have to do:

9/3 = 3

15/3 = 5

so if you factor out the 3, you get 3(3 + 5)

Which graph represents -

Answers

Answer:

3rd

Step-by-step explanation:

Find all the solutions in the interval [0,2π)
sin²x = 2-2cosX

Answers

Step-by-step explanation:

sin²x = 2 - 2cosx

1 - cos²x = 2 - 2cosx (because sin²x + cos²x = 1)

cos²x - 2cosx + 1 = 0

(cosx - 1)² = 0

cosx - 1 = 0

cosx = 1

Hence x = 0.

You work on a concrete crew starting a construction project. Once the pouring begins, it must continue non-stop until it is completed. Your crew will work an 8-hour shift along with two other crews. The total project requires 175,000 yards of concrete. Your supervisor estimates that each crew will pour around 1200 yards per hour. How many consecutive days should you plan to work on this project?

Answers

Answer:

I believe it is 6 days.

The total number of days all crew needs to pour concrete is 6 days consecutive.

Work-day based problem:

What information do we have?

Total number of crew = 3

Total yards = 175,000

Each crew pour concrete per hour = 1200

Total concrete pour per day = 1200 × 3 × 8

Total concrete pour per day = 28,800 yard

Total number of days crew pours concrete = Total yards / Total concrete pour per day

Total number of days crew pours concrete = 175,000 / 28,800

Total number of days crew pours concrete = 6.076

Total number of days crew pours concrete = 6 days

Find out more information about 'Yards'.

https://brainly.com/question/14516546?referrer=searchResults

A $450 washing machine is on sale for 15% off.
What is the discount?


What is the sale price?


What is the total price including the 7% sales tax
need help before next semester

Answers

Answer:

15/100 * 450 = 67.5 (discount)

450 - 67.5 = 382.5 (sale price)

7/100 * 382.5 = 26.775 (7% tax)

26.775 + 382.5 = 409.275 (final price)

Step-by-step explanation:

Devery needs to read 36 pages by Friday. He read 10 on Tuesday and 15 on Wednesday. How many pages does he need to read on Thursday in order to read 26 pages by Friday?

Answers

Answer:

11

Step-by-step explanation:

i am assuming that its a typo and you meant 36

Answer:

Originally, you put 36..but 2nd you put 26... so ill answer both :) for a total of 36 Devery needs to read 11 more pages and for a total of 26, Devery needs to read one page

Step-by-step explanation:

10+15=25   36-25=11

10+15=25   26-25=1

My apologise for not understanding the question fully, English isnt my first language :)

Lines with the same slope and a different y intercept never intersect.



TRUE OR FALSE?

Answers

Answer:

True

Step-by-step explanation:

Lines with the same slope and different y-intercepts are considered parallel. As they extend forever, the lines will never intersect.

what is 0.83 x 52 can someone show me how to get it

Answers

Answer:

= 43.16

Step-by-step explanation:

1. 83 x 52

2. = 4,316

3. There are 2 numbers after the decimal

4.  you add the decimal the number of times the decimal is away from the number before

Answer:

43.16

Step-by-step explanation:

Look at the attached image. We multiply 83 and 52. Once we get our answer, we move our decimal point two places to the left (since .83 has its decimal moved two places to the left).

A group of friends were working on a student film that had a budget of $700. They
used $469 of their budget on props. What percentage of their total budget did they
spend on props?

Answers

Answer:

231

Step-by-step explanation:

subtract 700 by 469

What is the solution to the linear equation?
2/5+p=4/5+3/5p

Answers

Answer:

p=1

Step-by-step explanation:

Rearrange terms

Combine multiplied terms into a single fraction

Subtract  2/5 from both sides of the equation

Simplify

Multiply all terms by the same value to eliminate fraction denominators

sorry if its wrong

For what value of x do the two ratios suggest a proportional relationship?
14 to 4; x to 52
Choose the correct answer below.
A. 182
B. 13
C. 208
D. 56

Answers

182 because 14/4 equals to 3.5 and then you do 3.5*15 which is 182

Can somebody please help me with this question

Answers

Answer:

number 2

Step-by-step explanation:

A cougar did not attack to the victim.ibthinj this is answer


What is the value of x in the solution to this system of equations?

Answers

1) u just add one so it goes up by one
2)u just add two so it goes up by two
for example if x went from 5 10 15 20 u would add 5 because your going up by 5

In a class of 125 students, 28 are computer science majors, 52 are mechanical engineering majors, 12 are civil engineers and the rest are general engineering majors. Assume students only have one major. If a student is chosen at random what is the probability they are:

Answers

Answer:

The probability none mechanical engineering majors is 0.03967.

Step-by-step explanation:

Given that,

Total students = 125

Number of students in computer science = 28

Number of students in mechanical engineering = 52

Number of students in civil engineering= 12

Suppose six students from the class are chosen at random what is the probability none are mechanical engineering majors?

We need to calculate the probability none are mechanical engineering majors

Using given data

None mechanical engineering majors = [tex]\dfrac{125-52}{125}=0.584[/tex]

If six students from the class are chosen at random then

The probability none are mechanical engineering majors will be

[tex]P_{nme}=(0.584)^6[/tex]

[tex]P_{nme}=0.03967[/tex]

Hence, The probability none mechanical engineering majors is 0.03967.

Which equation is not a linear function? Question 2 options: A) y = –3x – 7 B) 2x + 4y – 12 = 0 C) 6x + 4y = 8 D) 2x2 – 3y = 9

Answers

Answer:

A libear equation has no x^2. Therefore it would be D since it does have an x^2

Answer:

The answer is A

Y= -3x - 7

let f(x)=4x+1 and g(x)3x+k find value of k if fog(x)=gof(x)​

Answers

Answer:

[tex]\huge\boxed{k=\dfrac{2}{3}}[/tex]

Step-by-step explanation:

[tex]f(x)=4x+1\\\\g(x)=3x+k\\\\(f\circ g)(x)=f\bigg(g(x)\bigg)=4(3x+k)+1=(4)(3x)+(4)(k)+1=12x+4k+1\\\\(g\circ f)(x)=g\bigg(f(x)\bigg)=3(4x+1)+k=(3)(4x)+(3)(1)+k=12x+3+k\\\\(f\circ g)(x)=(g\circ f)(x)\iff12x+4k+1=12x+3+k\qquad|\text{cancel}\ 12x\\\\4k+1=3+k\qquad|\text{subtract 1 from both sides}\\\\4k=2+k\qquad|\text{subtract}\ k\ \text{from both sides}\\\\3k=2\qquad|\text{divide both sides by 3}\\\\k=\dfrac{2}{3}[/tex]

please answer for branliest quick

Answers

Answer:

18 square units :)

Answer:

18

ummmmmm so yea

What is the area of the triangle?
8
4
5

Answers

Answer:

16

Step-by-step explanation:

1/2 (perpendicular height × base)

1/2(4×8)

2×8

=16

3÷657 using partial products

Answers

Answer:

219

Step-by-step explanation:

I need the simplified expression for this please ​

Answers

Not a hundred percent sure but this what I got

Answer:

9x-3

Step-by-step explanation:

3(2x-1)+3x

The first thing you would want to do is to distribute 3(2x-1) or in other words to get rid of the parenthesis.

3(2x-1) = 6x-3

The expression so far is : 6x-3+3x

Now you would add like terms which are the 6x and 3x = 9x

Expression now: 9x-3

The final answer is 9x-3.

If you are wondering why this is the answer because you can’t solve an (x) from a number because they are not like terms.

Hope this helps!

Which is the graph of the given function?
F(t)=4sin(3t)

Answers

Answer:

It's D or A

Step-by-step explanation:

500,000+8,000+300+60+4 in number form

Answers

Answer:

508,364

Step-by-step explanation:

just add them together :)

18. If x + y = a, y + z = b and z + x = c, the average
of x, y
and z is:

Answers

Answer:

AC

Step-by-step explanation:

x y=a

z+x=c

hope this help

Uuuuuu you be back here for me and you will uuuuu
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