A survey conducted by the U.S. department of Labor found the 48 out of 500 heads of households were unemployed. Compute a 99% confidence interval for the proportion of unemployed heads of households in the population. Round to three decimal places. (make sure to type a zero in front of the decimal place ie. 0.1 vs .1 otherwise your answer will be marked incorrect) Lower limit

Answers

Answer 1

Answer:

99% Confidence interval is given as;

Lower Limit = 0.062

Upper Limit = 0.130

Step-by-step explanation:

Given the data in the question;

x = 48

n = 500

sample proportion p = x/n = 48/500 = 0.096

with 99% confidence

significance level ∝ = 1 - 99% = 1 - 0.99 = 0.01

∝/2 = 0.01 / 2 = 0.005

Critical Z-value = [tex]Z_{\alpha /2[/tex] = [tex]Z_{0.005[/tex]  = 2.576

Now,

Standard error of p : SE = √[ (p × ( 1 - p) / n ) ]

we substitute

SE = √[ (0.096 × ( 1 - 0.096) / 500 ) ]

SE = √[ (0.096 × 0.904) / 500  ]

SE = √[ 0.086784 / 500 ) ]

SE = 0.0131745

so

Margin of Error E = [tex]Z_{\alpha /2[/tex] × SE

E = 2.576  × 0.0131745

E = 0.0339

Now 99% confidence interval will be

⇒ 0.096 ± 0.0339

⇒ (0.096 - 0.0339, 0.096 + 0.0339 )

⇒ ( 0.062, 0.130 )

Lower Limit = 0.062

Upper Limit = 0.130


Related Questions

What is the cos(65)?

Answers

= 0.4226182617, or 0.423 if rounded to 3 d.p

I NEED THE ANSWER(ASAP)

The list below shows the allowance earned by eight of the students in Ms. Tomas's class. What is the mean allowance earned in Ms. Tomas's class?

$7, $12, $8.50, $ 10, $7, $8, $10.50, $11​

Answers

Answer:

9.25

Step-by-step explanation:

For the mean, you have to add all and divide it by the numbers.

7 + 12 + 8.50 + 10 + 7 + 8 + 10.50 + 11 = 74

74 divided by 8 = 9.25

A fair coin is tossed two times in succession. The set of equally likely outcomes is {HH, HT, TH, TT). Find the probability of getting exactly two heads.
The probability of getting two heads is
(Type an integer or a simplified fraction.)

Answers

Answer:

1/4

Step-by-step explanation:

Two Heads = HH,

From four options one of them is HH,

So likely the answer is 1/4,

Hope this helps!

The area of a rectangle is 46 square inches. If the length is 4 times the width, thon find
the dimensions of the rectangle. Round off your answers to the nearest hundredth

Answers

Answer:

w = 3.39 in

l = 13.56 in

Step-by-step explanation:

46 = w(4w) = 4w²

w² = 11.5

w = 3.39 in

l = 13.56 in

How many rabbits will
there be 6 days later?
If a rabbits population starts at 150 rabbits and decreases 5% per day.

Answers

Answer:

105 rabbits

Step-by-step explanation:

Multiple 5 percent by six days

5%x6=30%

150 rabbits --- 100%

x ----- 30%

100x=150x30

100x=4500 : 100

x=45

150-45=105

Answer:

880

Step-by-step explanation:

I've taken 5/105 divided and gotten 20.I have taken 20 * 6 which is the decrease so that you can get after six days how many rabbits were decreased and 150 * 6 that you can get how many rabbits are there in 6 days.then I took 900 - 120 i go 880 rabbits hope that helps.

which one? Help I’ll give extra points

Answers

Answer:

You are right; It is Figure B

Step-by-step explanation:


One of two complementary angles is 71 degrees. Let x = the measure of
the other complementary angle. Write and solve an equation to find the
measure of angle x.

Answers

Answer:

19 degrees

Step-by-step explanation:

Sum of 2 angles is complementary,

x + 71 = 90

x = 90 - 71

x = 19 degrees

Please help with math and explain if u do i’ll give brainly!!

Answers

Answer:

3/2

Step-by-step explanation:

MNOP to ABCD: The answer has to be greater than one because ABCD increases in size from MNOP.

To get the scale factor you have to compare the sides.

Line AD = 6 in.

Line MP = 4 in.

6/4 = 3/2

t/15=3 what operation is that?

Answers

Answer:

t = 45

Step-by-step explanation:

[tex]\frac{t}{15} = \frac{3}{1}[/tex]

t × 1 = 15 × 3

t = 45

find the missing side.

Answers

no sides are missing !

1. Use the formula V = Bh to find the volume of a gift box that is 3.5 inches
high, 7 inches long, and 6 inches wide.

Answers

Answer:

147

Step-by-step explanation:

Length x Width = base

Base x Height = Volume

What is the slope of the line below?

Answers

up two over one so the slope is 2
The slope is 2 :) dndjes
Dmfirkdnd

Justin is making a poster for Bike Safety Week. The diameter of circle A is 16 in.

If the area of circle B is the area of circle A, what is the area of circle B? (Use 3.14 for .)

Answers

Step-by-step explanation:

Given Area of Circle B = Area of Circle A

Given r = 1/2d = 1/2(16) = 8 in

and Area of Circle =

[tex]\pi {r}^{2} \\ = (3.14) ({8}^{2} ) \\ = (3.14)(64) \\ = 200.96 {in}^{2} [/tex]

Will it fit in a pot with a height of 20 cm and a bottom radius of 10 cm of 2.5 liters?
Can someone help me pls I need it fast

Answers

Answer:

Step-by-step explanation:

Volume of pot = πr²h

                       = 3.14 * 10 * 10 * 20

                       = 6280 cubic cm

1000 cubic cm = 1 litre

6280 cubic cm = 6.28 litre

∵ 2.5 litres will fit in the pot as the capacity of pot is 6.28 litre

Ok please help meeeeeeeeeeeeeeeee

Answers

Answer:

Step-by-step explanation:

Volume of a cone is given by the formula,

V = [tex]\frac{1}{3}\pi r^{2}h[/tex]

Here, r = Radius of the circular base of the cone

h = Height

By substituting values from the question,

V = [tex]\frac{1}{3}\times \pi (\frac{6}{2})^2(3)[/tex]

V = 9π

V = 28.27 m³ [Nearest hundred]

If we have to round the answer to the nearest tenth, answer will be,

Volume = 28.3 m³

If we have have to round the answer to the whole number then the answer will be,

Volume = 28 m³  

A bookstore had 81 copies of a magazine, Yesterday the bookstore sold 7/9 of these copies. How many copies were sold yesterday?​

Answers

Answer: 63 copies were sold yesterday.

Step-by-step explanation: To find how many copies were sold yesterday, simply multiply 81 by 7 which is 567. Then, divide 567 by 9 which is 63.

I believe 63 copies were sold (like the person above said)

How I would have done it is found out what 1/9 was, by dividing 81 by 9 which is 9, then multiply 9 and 7 to get the amount of books sold which is 63

Please correct me if I am wrong, have a good day!

The drawing shows a semicircular window separated into 3 sections of . Red Green Green Approximately how many of the glass are red? The window a diameter of 18 units

Answers

Um let me figure this out right now!

Answer:

[tex] \frac{45π}{2} \: units^{2} \: ≈ \: \boxed{70.7 \: units²} [/tex]

______________________

The correct option is 70.7

Step-by-step explanation:

Since the green and red make a semicircle, the total measure must be 180°.

Since the two green sectors are both 40°.

The red must add up with the green sectors to total 180°.

This means that:

red sector + 80° = 180°.

–80° –80.

red sector = 100°.

To find the area of a sector, we must first understand the area of the circle itself which is πr², where r is the radius.

Since a full circle is 360°.

(360° / 360°)( πr² ) will be the area.

Or in radians: (2π rad / 2π rad)( πr² ).

From here, we can create the formula:

Area of a sector = ( n° / 360° ) ( πr² ). Where n is the measure or the sector in degrees, and r is the radius.

You may also know that the diameter is twice the measure of the radius.

This means that if we are given a diameter of 18 units from the problem, the radius will be 18/2 or 9 units.

Lastly, all we have to do is substitute all this information to find the area of sector.

Area of the red sector = ( n° / 360° ) ( πr² ).

Area of the red sector =

( (100°) / 360° ) ( π(9)² ).

Area of the red sector = ( 5 / 18 ) ( 81π )

Area of the red sector = ( (5)(81π) / 18 )

Area of the red sector = ( (405π) / 18 )

Area of the red sector = ( 45π / 2 ) units²

Area of the red sector =

(141.371669412.. units²) / 2

Area of the red sector =

70.6858347058.. units²

Area of the red sector ≈

70.7 units²

Are 20,30, and 16 the sides of a right triangle? Please show workkk

Answers

Yes 20,30, and 16 is the sides of a right triangle

please help me with this asap

Answers

Answer:

Upper left is 9, upper right is 9, lower left is 21

Step-by-step explanation:

They tell us there are 9 birds that are yes fly and yes fish, so that’s the upper right.

They tell us there are 18 yes fish total. Subtract the 9 from the upper right, and that leaves 9 for the upper left.

They tell us there are 39 birds total.

39 - 18 (all fish eaters) - 4 (no fly, no fish) = 17 that can fly but don’t eat fish.

Make sense? lmk if you have questions

One positive number is 9 more than twice another. If their product is 95, find the numbers.

Answers

Answer:

The numbers are 19 and 5

Step-by-step explanation:

Given

Let the numbers be [tex]x\ and\ y.[/tex]

So:

[tex]x = 9 + 2y[/tex] --- First statement

[tex]x*y = 95[/tex] --- second statement

Required

Find x and y

Substitute [tex]x = 9 + 2y[/tex] in [tex]x*y = 95[/tex]

[tex](9 + 2y) * y = 95[/tex]

[tex]9y + 2y^2 = 95[/tex]

Rewrite as:

[tex]2y^2 + 9y - 95 = 0[/tex]

Expand

[tex]2y^2 -10y +19y- 95 = 0[/tex]

Factorize

[tex]2y(y -5) +19(y- 5) = 0[/tex]

[tex](2y +19)(y- 5) = 0[/tex]

Solve for y

[tex]2y + 19 =0[/tex] or [tex]y - 5 = 0[/tex]

[tex]2y = -19[/tex] or [tex]y = 5[/tex]

[tex]y = -\frac{19}{2}[/tex] or [tex]y=5[/tex]

Since the numbers are positive, we take only:

[tex]y=5[/tex]

Substitute [tex]y=5[/tex] in [tex]x = 9 + 2y[/tex]

[tex]x = 9 + 2 * 5[/tex]

[tex]x = 9 + 10[/tex]

[tex]x = 19[/tex]

The numbers are 19 and 5

A store is having a sale on jelly beans and almonds. For 2 pounds of jelly beans and 3 pounds of almonds, the total cost is $11. For 4 pounds of jelly beans and 8 pounds of almonds, the total cost is $25. Find them cost for each jelly beans and each pound of almonds.

Answers

$4.25 for a pound of jelly beans
$1 for a pound of almonds

What's the inequality?

Answers

Answer:

I believe the answer is D coorrect me if im wrong

Step-by-step explanation:

if im right brainliest?

or 5 stars and heart

I’m pretty sure that the answer is D

3.
1- =
How do you subtract 1 - 1/2?

Answers

Answer:

You can just type it in the calculator. 1/2=0.5 so 1 - .05= 0.5 . Lmk if there is more to the question!

Step-by-step explanation:

Which is the graph of g(x)? ​

Answers

Answer: A because its always A

Step-by-step explanation:

A cube has a surface area of 54cm2. What is the volume of the cube?

Answers

Answer:

27 cm³

Step-by-step explanation:

A = 6 a²

V = a³

V=6A3/2

36=6·543/2

36≈27cm³

Hope this helps! Pls mark brainliest

HELP ASAP I WILL MARK BRAINLEY
At Camille's Hats, 25% of the 28 hats are baseball caps. How many baseball caps are there?​

Answers

Answer:

112

Step-by-step explanation:

25 = 1/4 of 100. so u gotta do 4 * 28

Answer:7

Step-by-step explanation:

help please !! i need help

Answers

Answer: 1/2x

Step-by-step explanation:

Y=x+20
Hope it’s right

what is parallel to y=5x + 3

Answers

Answer:

y=5x

Step-by-step explanation:

The slope of the line is the same as the original equation, with the 3 just shifting the line down 3 spots on the y axis.

PLEASE ANSWER ASAP GIVING 15 POINTS AND PLEASE NO LINK FILE AND PLEASE ANSWER WHAT I'AM SUPPOSE TO DO WITH THIS ANSWER FOR PART B! I'M ALMOST OUT OF TIME

Answers

1.5 / 1
A 1has to be the denominator so for example, 100 yards / 1 minute of jogging

-4x = 16

a -64




b 4




c 20




d-4

Answers

-4× = 16 answer: -4

Step-by-step explanation:

-4 × -4 = 16

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