In an effort to test the hypothesis that the proportion of voters in the younger than 40 year old age bracket who will vote for a particular politician is different than the proportion voters in the above 40 age bracket, the following data was collected. Test hypothesis at 0.10 level of significance.

Population Number Who Will Vote for Politician Sample Size

Below 40 348 700
Above 40 290 650

Required:
a. Reject the Null Hypothesis and condlude that the proportion of voters in the younger than 40 year oid age bracket who will vote for a particular different than the proportion voters in the above 40 age bracket.
b. Do not reject the Null Hypothesis and conclude that the proportion of wotors in the younger than 40 year old age bracket who will vote for a particular politician is not different than the proportion voters in the above 40 age bracket.

Answers

Answer 1

Answer:

We reject H₀ we support the claim that the two proportion are different

Step-by-step explanation:

Younger than 40 years old

Sample size  n₁  = 700

x₁  = 348

p₁ = 348 / 700      p₁ = 0,497     p₁ = 49,7 %

Above 40 years old

Sample size  n₂  = 650

x₂  = 290

p₂ = 290/ 700     p₂ = 0,414      p₂  = 41,4 %

p  =  ( n₁*p₁  +  n₂*p₂ ) / n₁ + n₂

p = 700 * 0,497  + 650 * 0,414 )   / 700 + 650

p = ( 347.9 + 269,1 ) / 1350

p = 0,457      p  = 45,7 %

q = 1 - p         q  = 54,3 %        q = 0,543

CI  is 90 %   significance level is  10 %     α = 10 %     α = 0,1  α/2 = 0,05

zscore for α/2       from z- table is : z(c) = 1,64

Test Hypothesis

Null Hypothesis                                    H₀        p₁  =  p₂

Alternative Hypothesis                        Hₐ        p₁  ≠  p₂

To calculate  z(s) =  (  p₁  -  p₂ ) / √ pq/n₁   +  pq/ n₂

p₁  -  p₂  =  0,497  -  0,414  =  0,083

√ pq/n₁   +  pq/ n₂   = √  0,457*0,543/ 700   +  0,457*0,543/ 650

√ pq/n₁   +  pq/ n₂   =  √ 3,545*10⁻⁴  + 3,82 * 10⁻⁴

√ pq/n₁   +  pq/ n₂   =  2,71 * 10⁻²   =  0,0271

z(s) =  0,083/ 0,0271

z(s) = 3,06

Comparing    z(s)  and z(c)

|z(s)| > |z(c)|

Then z(s) is in the rejection region and we reject H₀


Related Questions

Question 30
What was the median annual earnings for all U.S. civilian workers in 2016?
O $51,980
O $49,630
O $41,778
O $46,230

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i think it’s option 2 but i’m not rlly sure

PLEASE HELPPP! I'LL GIVE BRAINLEST​

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Answer:

hiiii....

Step-by-step explanation:

b)2and4 only

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Answer:

The answer is 16 for the blue dot

I'm think it's 16

Step-by-step explanation:

This is because it seems that it jumps from 0 to 4. So you add four to the number 4...

Let f(x)=3(12)x+1. Which is equal to f(1)?

Answers

Answer:

just substitute the value of x as 1

f(x)=3(12)x+1

f(1)=3(12)(1)+1

f(1)=3(12)(1)+1

f(1)=36+1

f(1)=37

Three times Francis' age plus five times Earl's age is 230. Earl is also four times Francis age. How old is Earl?

Answers

Answer:

E = 40 years

Step-by-step explanation:

Let the age of Francis be F.

Let the age of Earl be E.

Translating the word problem into an algebraic expression, we have;

3F + 5E = 230 ......equation 1

E = 4F .......equation 2

To find the value of F;

Substituting eqn 2 into eqn 1, we have

3F + 5(4F) = 230

3F + 20F = 230

23F = 230

F = 230/23

F = 10 years

Now, to find the value of E;

From eqn 2;

E = 4F

Substituting the value of "F" we have;

E = 4*10

E = 40 years

Therefore, Earl is 40 years old.

If an object moves in uniform circular motion in a circle of radius R = 2.00 meters, and the object takes 5.00 seconds to complete ten revolutions, calculate the centripetal acceleration. ALWAYS use significant figure rules. Remember that these rules apply to all numbers that are measurements. a= _____ m/s2 39.4 m/s 2 100. m/s 2 158 m/s 2 50.2 m/s 2

Answers

The centripetal acceleration of the object is .
Explanation:
We have,
Radius of a circular path is 2 m
It takes 5 seconds to complete 10 revolutions. It means its angular velocity is :

The centripetal acceleration of the object is given by :

So, the centripetal acceleration of the object is .

In 2009 Zambrano's salary was 18,750,000. He pitched in 28 games in 2009. What was his salary per game in 2009? Round to the nearest cent.​

Answers

Answer:

his salary per game is  669,643

Step-by-step explanation:

The computation of the salary per game in the year 2009 is shown below

Given that

His salary  in the year 2009 is 18,750,000

And, he pitched 28 games in the year 2009

Based on the above information

His salary per game is

= 18,750,000 ÷ 28 games

= 669,643

hence, his salary per game is  669,643

The same is relevant

help me please!
game board has a
spinner with 10 equal-sized sections, of which
4 are green, 3 are blue, 2 are yellow, and 1 is
red. What is the sum of the probabilities of the
pointer landing in the green, blue, yellow, and
red sections? Explain.

Answers

Answer:

1 or 100%

Step-by-step explanation:

There are 4 colors and if the sum of the probabilities involves all those colors, then it equals to 1.

Calculation as below:

P(g) = 4/10P(b) = 3/10P(y) = 2/10P(r) = 1/10

The sum is:

4/10 + 3/10 + 2/10 + 1/10 = 10/10 = 1

Compare areas: the side of a square is 14 m long. If all four size increased by 5, how my how much is the area increase?

The areas from _____ m^2 to _____ m^2, which is an increase of _____ m^2.​

Answers

9514 1404 393

Answer:

196361165

Step-by-step explanation:

The original side length is 14 m, so the area is (14 m)² = 196 m².

The longer side length is 14 m + 5m = 19 m, so the area is (19 m)² = 361 m².

The increase in area is ...

  361 m² -196 m² = 165 m²

The area increases from 196 m² to 361 m², which is an increase of 165 m².

Answer:

The areas from 196 m² to 361 m², which is an increase of

165 m²

Find the surface area of the solid figure represented by the given net. 10cm squared 10cm squared 10cm squared 10cm squared 25cm squared

Answers

Answer:

its actually 65

Step-by-step explanation:

15 cm
15 cm
16 cm
20 cm
57 cm
What is the perimeter of the polygon?

Answers

Answer:

C.

Step-by-step explanation:

15 x 16=240 x 2= 480

57 x 20= 1140

1140 + 480 = 1620


PLEASE HELP !! ILL GIVE BRAINLIEST !!

Answers

Answer:

2&7

6&3

Definition:

angles located at opposite positions between the two lines that are intersected by a transversal.

Step-by-step explanation:

1 and 8, 5 and 4, definition is a pair of angles that lie on the outside of two parallel lines but on either side of the transversal

Sami opened an account with a deposit of $4,000.
• The bank pays 3.5% annual simple interest on this account
• Sami did not make any additional deposits or withdrawals.
How long will it take for Sami to earn $2,100 in interest on this
account?

Answers

835.71$

Step-by-step explanation:

is the answer just done it

V 153
Given tan A= - and that angle A is in Quadrant IV, find the exact value of
sec A in simplest radical form using a rational denominator.
4

Answers

The secant of the angle A is 13/4

How to determine the value of sec(A)?

The given parameter is:

[tex]\tan(A) = -\frac{\sqrt{153}}{4}[/tex]

Using the trigonometry identity, we have:

[tex]\sec^2(A) = \tan^2(A) + 1[/tex]

This gives

[tex]\sec^2(A) = (-\frac{\sqrt{153}}{4})^2 + 1[/tex]

Evaluate the exponent

[tex]\sec^2(A) = \frac{153}{16} + 1[/tex]

Evaluate the sum

[tex]\sec^2(A) = \frac{169}{16}[/tex]

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[tex]\sec(A) = \pm \frac{13}{4}[/tex]

Secant in quadrant IV is positive.

So, we have:

[tex]\sec(A) = \frac{13}{4}[/tex]

Hence, the secant of angle A is 13/4

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Help help help help help help

Answers

Answer:

More than for the first box and less than for the second.

Please help ASAP
Please help
No links please

Answers

Answer:

base = 3 units

height = 5 units

area = 1/2 x 3 x 5 = 7.5 square units

Answer:

[tex]b[/tex] = 3 units

[tex]h[/tex] = 5 units

[tex]a[/tex] = 7.5 units

Step-by-step explanation:

We can find the base of the figure by counting the number of units from the left to the right of the triangle. So, we can find that the base is 3 units.

The height of the figure can be found by counting how many units the figure measures from the tip to the bottom. The height, then, is 5 units.

The easiest way to find the area of a right triangle is to imagine it as a rectangle, with the same [tex]l[/tex] (length) and [tex]w[/tex] (width) dimensions, and then divide the area of the rectangle by two.

So, to find the area of this rectangle, multiply the length and width, 3 and 5, together.

3 · 5 = 15

Then, we can divide this product by two.

[tex]\frac{15}{2}[/tex] = 7.5

The area is 7.5 units².

Hope this helped :] Good luck!

how many outfits can you make out of 2 helmets, 6 shirts, and 2 pairs of shorts​

Answers

Answer:

2 OUTFITS

Step-by-step explanation:

What is the volume of the cone?
Use 3.14 for π, and round to the nearest tenth.

Answers

Volume =  

1  πr2h

3

=  

1 ×π×22×7

3

=  29.321531433505 miles3

Maori created this shape out of construction paper using a ruler and scissors. She made sure that all of her angles were right angles.
What is the area of Maori's shape?

A) 36 cm2
B) 48 cm2
C) 90 cm2
D) 102 cm2

Answers

Answer:

B) 48cm²

Step-by-step explanation:

find the area of the 2 rectangles

A = bh

A = 9×4

A = 36

A = bh

A = 6×2

A = 12

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Answers

Answer:

Step-by-step explanation:

18 has factors of 9 and 2 or 6 and 3

Those factors must differ by 3, so 6 and 3 in some order is your answer.

(x + 6) (x - 3) = r(x)

You have to make x a value that turns the factor into 0.

x + 6 = 0

x = - 6

x - 3 = 0

x =  3

So the zeros are (3,0) and (- 6,0)

Pls help with this question pls and thx!

Answers

ANSWERS:

4a= 25/6 or 4.16 and 6 is repeating or 4 1/6

4b= 26

5a= 39.556

5b= 5.4


WHY:

4a= simplify

4b= divide the first expression by the second expression

5a= multiply

5b= divide


MARK ME BRAINLIEST PLEASE

Please help will give brainliest!

Answers

Answer:

Yes, Yes, No, Yes.

Step-by-step explanation:

2/5 as a decimal = 0.4

4 ÷ 0.4 = 10

1 is correct.

2 x 10 = 20

2 is correct.

6 x 10 = 60

3 is incorrect.

10 ÷ 2 = 5

4 is correct.

Help me!!!!!!!!!!!! And look at the picture plzzzz!!!!

Answers

Answer: 72

Step-by-step explanation:

Set it up as a ratio

[tex]\frac{12}{15} =\frac{x}{90} \\15x=1080\\x=72[/tex]

Evaluate the polynomial for x = -2.
x² - 9x+7

Answers

Evaluate usually means simplify/solve

(-2)^2 - 9(-2) + 7
(-2)(-2) - (-18) + 7
4 + 18 + 7
= 22 + 7
= 29

Answer:

Hi! The answer to your question is [tex]29[/tex]

Step-by-step explanation:

☆*: .。..。.:*☆☆*: .。..。.:*☆☆*: .。..。.:*☆☆*: .。..。.:*☆

☆Brainliest is greatly appreciated!☆

Hope this helps!!

- Brooklynn Deka

For every 16 mango trees in the orchard, there are 8 coconut trees. If there are 1320 trees. How many trees of each kind are there?
SHOW PROCESS PO pa help po need ko po ngayon:(
I BRAINLIEST ko po yung tamang sagot :( ​

Answers

Answer:

let's say coconut trees is X is there from mango trees will be 2X

Step-by-step explanation:

2x+x=1320

3x=1320

divide both sides by three

3x/3=1320/3

x=440(coconut)

2x=880(mango)

Elias purchases a home for $38,900. The value of the home, in thousands of dollars, since his purchase is shown in the table. A 2-column table with 6 rows. The first column is labeled years since purchase with entries 0, 5, 10, 15, 20, 25. The second column is labeled value (thousands of dollars) with entries 38.9, 62.4, 89.3, 145.2, 210.8, 326.5. Find an exponential function that models the data. Round numerical values to the nearest hundredth. Let x be the number of years since the purchase. The function f(x) = ( )x models the data. Use the model to predict the home’s value. After 12 years, the home’s value will be about $ thousand. After 35 years, the home’s value will be about $ thousand.

Answers

Answer:

f(x)=39.59 (1.09)

Use the model to predict the home’s value.

After 12 years, the home’s value will be about $

111 thousand.

After 35 years, the home’s value will be about $

808 thousand.

Step-by-step explanation:

Edge 2021 :)

A function assigns the values. After 35 years, the home’s value will be about $215.079.68 thousand.

What is a Function?

A function assigns the value of each element of one set to the other specific element of another set.

A general exponential equation is given as,

y = A(1+b)ˣ

Now, if x is the number of years since the purchase. And we substitute the value of the x and y from the table. Then we can write,

38.9 = A(1+b)ˣ

A = 38.9

Therefore, the equation can now be written as,

y = 38.9(1+b)ˣ

Substitute the second point in the equation,

y = 38.9(1+b)ˣ

62.4 = 38.9(1+b)⁵

1.604113 = (1+b)⁵

1+b = 1.09912

b= 0.09

Hence, the function that can model the value of the house after x years is y=38.9(1.09)ˣ.

B.) Now the value of the house after 12 years,

y=38.9(1.09)ˣ

y=38.9(1.09)¹²

y = 109.41

The home’s value will be about $ 109.41 thousand.

C.) After 35 years, the home’s value will be,

y=38.9(1.09)ˣ

y=38.9(1.09)¹⁰⁰

y = 215.079.68

After 35 years, the home’s value will be about $215.079.68 thousand.

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someone please help me im timed

Answers

Answer:

C

Step-by-step explanation:

All sides of a square are equal.

Out of 24 cookies,
3
4
are chocolate chip. How many cookies are chocolate chip?

Answers

Answer:

18 cookies

Step-by-step explanation:

3/4 = 75%

75% = 0.75

Multiply this by 24 = 18 cookies

Hey guys!!! I forgot how to do this :/ lol
whats 10+4÷2?

Answers

Answer:

12

Step-by-step explanation:

A game show is offering a prize of 1 cent on the first day , 3 cents on the second day 9 cents on the third day , etc. What is the total amount of money earned from this prize in two weeks ?

Answers

Answer:

$15943.23

Step-by-step explanation:

each day the total of the day before is multiplied by 3 so if you do that for 14 days you will get the answer

Answer:

2,391,4.84 dollars

Step-by-step explanation:

1,    3  ,    9...

on the 1st day, 3^0

on the 2nd day, 3^1

on the 3rd day, 3²

:

one the 14th day, 3^(14-1)

=> 3^13

=> 1,594,323

"Total about of money" => have to add up the money from the 1st day to the 14th day:

1 + 3 + 9 + 27 + 81 + 243 + 729 + 2187 + 6561 + 19683 + 59049 + 177147 + 531441 + 1594323 = 2,391,484

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