In 1960 sociologists studied a random sample of 1,018 families that consisted of a husband, a wife, and at least one child. Of those families, 5.8 percent reported that the wife was the primary wage earner of the family. In 2011 the study was replicated with a random sample of 1,013 families that consisted of a husband, a wife, and at least one child. Of those families, 22.3 percent reported that the wife was the primary wage earner of the family. Which of the following represents a 99 percent confidence interval for the difference between the proportions of families that consisted of a husband, a wife, and at least one child from 1960 to 2011 that would have reported the wife as the primary wage carner? (0.223)(0.777) (0.058) (0.942)
(A) (0.223-0.058) 1.96L03 ) (223-0058) ±196 1.013 1 1.018
(B) (0.223-0058) 226(07,(0580942 1,013 1,018
(C) (0.223-0058)2.576, (02230772)(0.45810942 (0.058)(0.942) 1,018
(D) (0.223-0.058) t2.326, 2,031 1,013 1.018
(E) (0.223-0058)?2.57612031(1.013 +1.18

Answers

Answer 1

Answer:

(0.223 - 0.058) ± 2.576 * sqrt[((0.223)(0.777))/1018 - ((0.058)(0.942))/1013]

Step-by-step explanation:

Given that :

P1 = 22.3% = 0.223

q1 = 1 - P1 = 1 - 0.223 = 0.777

Sample size, n1 = 1018

P2 = 5.8% = 0.058

q2 = 1 - P2 = 1 - 0.058 = 0.942

Sample size, n2 = 1013

Confidence level, Zcritical at 99% = 2.576

Using the relation :

(P1 - P2) ± Zcritical * Sqrt[(P1q1/n1 + P2q2/n2)

(0.223 - 0.058) ± 2.58 * sqrt[((0.223)(0.777))/1018 - ((0.058)(0.942))/1013]


Related Questions

Lula has two dogs, one 35 pounds, the other 25 pounds. What is the average weight of Lula's dogs?

Answers

Answer:

30

Step-by-step explanation:

25+35= 60

60/2=30

Answer: 30

Step-by-step explanation:

The term average has a number of different meanings. Most generally, it is a single number that is used to represent a collection of numbers. In the context of mathematics, "average" refers to the mean, specifically, the arithmetic mean. It is a relatively simple statistical concept that is widely used in many areas.

The equation below is one of the more commonly understood definitions of the average: [tex]Average =[/tex] [tex]\frac{Sum}{Count}[/tex]

Sam plans to use two flags on his float for the parade. Each flag is a right triangle and the triangles are similar.What is the width, x, of the larger flag in feet? halp please!!! 100 POINTS

Answers

Answer:

6.25 ft

Step-by-step explanation:

The smaller flag width is 5. And the larger flag is not that big in size. So the close answer is 6.25

Answer:

6.25ft

Step-by-step explanation:

The point (0,0) on a coordinate grid is called

Answers

Answer:

origin

hope this helps!

Step-by-step explanation:

Answer:

Origin

Step-by-step explanation:

The origin of the graph (0,0) is the point where the two y and x axes intercept.

The origin determines every other point of the graph.  

Hope this helps!

Can someone answer and explain ill mark brainliest

Answers

Answer:

56 of the coins are dimes

Step-by-step explanation:

Dimes = D

Quarters = Q

D+Q=102

10D+25Q=1710

-10(D+Q=102)

-10D-10Q=-1020

+10D+25Q=1710

15Q-690

Q=46

D=102-46=56

CHECK 46(25)+56(10)=1150+560=1710 = YES

A triangular pyramid has a base area of 74 square inches and a height of 9 inches. Which is closest to the volume of the pyramid?
a 351 cubic inches
b 702 cubic inches
c 224 cubic inches
d 234 cubic inches

Answers

Answer:

702

Step-by-step explanation:

because 74 x 9 = 666 and 702 is close

Combine like terms
x + 10x-30= -8

Answers

Answer: x=2

Isolate the variable by dividing each side by the factors that don't contain variables.

You NEVER distribute a coefficient of an absolute value. True or False?

Answers

Answer:

TRUE!!!!!!!!!

Step-by-step explanation:

At a state university on the west coast, 13% of undergraduate students are of Asian origin. Among students of Asian origin, 11% major in Humanities, 7% in Social Sciences, 31% in Biological and Physical Sciences, 36% in engineering, and the remaining 15% in Business. Among students of other ethnicities, 19% major in Humanities, 16% in Social Sciences, 12% in Biological and Physical Sciences, 18% in engineering, and the remaining 35% in Business. One undergraduate student majoring in Business is randomly selected from this university. Find the probability that the student is not of Asian origin.

Answers

Answer:

0.9398 = 93.98% probability that the student is not of Asian origin.

Step-by-step explanation:

Conditional Probability

We use the conditional probability formula to solve this question. It is

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]

In which

P(B|A) is the probability of event B happening, given that A happened.

[tex]P(A \cap B)[/tex] is the probability of both A and B happening.

P(A) is the probability of A happening.

In this question:

Event A: Business student

Event B: Not of Asian origin.

Probability that the student is an undergraduate majoring in business.

15% of 13%(Of Asian origin).

35% of 100 - 13 = 87%(Not of Asian origin). So

[tex]P(A) = 0.15*0.13 + 0.35*0.87 = 0.324[/tex]

Business student and not of Asian origin:

35% of 87%. So

[tex]P(A \cap B) = 0.35*0.87 = 0.3045[/tex]

One undergraduate student majoring in Business is randomly selected from this university. Find the probability that the student is not of Asian origin.

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.3045}{0.324} = 0.9398[/tex]

0.9398 = 93.98% probability that the student is not of Asian origin.

Please help when Kevin bought a new office phone, he borrowed $1,200 at a rate of 18% for 9 years

Answers

Answer:

where is the rest of the questions

6. Cynthia walks 6 miles at a rate of 2 miles
per hour. How long will it take her to
arrive at her destination?

Answers

3 hours is the correct answer

Answer:

3

Step-by-step explanation:

6 / 2 = 3 hours

HELP HELP HELP!!! NUMBER 3 PLEASE!!!

Answers

Answer:

see the attachment, answers there


15 * 3/5


14. Will the product be greater than 15?

Answers

Answer:

No

Step-by-step explanation:

When you divide by a fraction or a decimal you are essentially multiplying that by something lesser than one and so the Calculator, if you are using a Calculator to solve this will, see multiplying something by a decimal or a fraction as a division and vice versa.

Please help!
Given the figure is a square, find x, y and z

Answers

Answer:

Step-by-step explanation:

Did u find it? Because I can’t figure it out euther

The workers' union at a particular university is quite strong. About 96% of all workers employed by the university belong to the workers' union. Recently, the workers went on strike, and now a local TV station plans to interview workers (chosen at random) at the university to get their opinions on the strike. What is the probability that exactly of the workers interviewed are union members

Answers

Answer:

The probability that exaclt x of the members are union members from the n interviewed is given by:

[tex]P(X = x) = C_{n,x}.(0.96)^{x}.(0.04)^{n-x}[/tex]

Step-by-step explanation:

For each worker, there are only two possible outcomes. Either they are union members, or they are not. Members are independent of other members. This means that we use the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

And p is the probability of X happening.

About 96% of all workers employed by the university belong to the workers' union.

This means that [tex]p = 0.96[/tex]

What is the probability that exactly of the workers interviewed are union members

We want probability of x, from n workers interviewed. So

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = x) = C_{n,x}.(0.96)^{x}.(0.04)^{n-x}[/tex]

Solve the inequality for v.
5v-9> 66

Answers

Answer:

v>15

Step-by-step explanation:

add 9 to 66

5v>75

v>15

Answer: v>15

Step-by-step explanation:

The inequality can be treated as an equal sign and solved normally. Add 9 to both sides to get 5v>75, then divide to get v>15.

NOTE: If an inequality is divided by a negative number, the sign flips (> to <, etc.)

Round 117.22666 to the nearest tenths

Answers

Answer:

117.2

Step-by-step explanation:

Rounding a number to the nearest tenth:

A number rounded to the nearest tenth will have one decimal place.

To do this, we look at the second decimal digit.

If it is less than 5, the first decimal digit is kept.

Otherwise, one is added to the first decimal digit.

In this question:

117.22666

The second decimal digit is 2, which means that we keep the first decimal digit which is also 2.

So, the number rounded to the nearest tenth is 117.2.

Please help me math inequality grade 8

Answers

Answer: x > 2/3

Step-by-step explanation:

-1 - x/2 < x

Simplify:

-1/2x + 1 < x

Subtract x from both sides:

-1/2x + 1 - x < x - x

-3/2x + 1 < 0

Subtract 1 from both sides:

-3/2x + 1 - 1 < 0 - 1

-3/2x < -1

Multiply both sides by 2/(-3):

2/(-3) (-3/2) < 2/(-3) (-1)

x > 2/3

Lia cut a long piece of into 2 pieces. One pieces of the string is 24 inches long, and the other piece of the string is 12 inches long. How many feet long was the piece of string before lia cut it?​

Answers

Answer:

24+12=36you find the total length

Answer:

3 feet

Step-by-step explanation:

A bookstore had 60 copies of a magazine. Yesterday, it sold 1/4 of them. Today, it sold 2/3 of what remained. How many copies does the bookstore have left?

Answers

The bookstore has 4 copies left

Answer:

15

Step-by-step explanation:

60×1÷4=15(1/4)

60-15=45

45×2÷3=30(2/3)

45-30=15

What is the area of the triangle?
8
4

Answers

area of triangle is base x height divide by 2
8x4=32
32 divide by 2 is
16

What is the perimeter of the triangle?

Answers

Answer: 3y + 5 cm

Step-by-step explanation: The perimeter of a triangle

is just the distance around the outside of the figure.

So just add up all the sides.

So we have y + y + y + 5 and we get 3y + 5.

Find the volume of the cone.

Answers

Answer:

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

[tex]v = \frac{12cm \times (8cm) { }^{2} \times \pi}{3} [/tex]

[tex]v = \frac{768cm {}^{3}\pi }{3} [/tex]

[tex]v = 256\pi \: cm {}^{3} [/tex]

What is the conjugate of (x2-6)?

Answers

Answer:

2(x - 3)

Step-by-step explanation:

Fewer young people are driving. In 1995, 63.9% of people under years old who were eligible had a driver's license. Bloomberg reported that percentage had dropped to in . Suppose these results are based on a random sample of people under years old who were eligible to have a driver's license in and again in . a. At confidence, what is the margin of error and the interval estimate of the number of eligible people under years old who had a driver's license in

Answers

Answer:

A. 0.0272

B. 0.0278

C. No

Step-by-step explanation:

a. Calculation for the margin of error and the interval estimate of the number of eligible people who had a driver’s license in 1995u

First step is to calculate the Standard error using this formula

Standard error(SE)= √(pcap * (1 - pcap)/n)

Where,

pcap represent sample proportion = 0.639

n represent sample size = 1200

Let plug in the formula

Standard error (SE)= √(0.639 * (1 - 0.639)/1200)

Standard error(SE)= 0.0139

Second step is to find Zc using this formula

Zc = Z(α/2)

Where,

α = 1 - 0.95 = 0.05

α/2 = 0.05/2 = 0.025

Zc = Z(α/2) = 1.96

Now let calculate the Margin of Error using this formula

Margin of Error= zc * SE

Let plug in the formula

Margin of Error = 1.96 * 0.0139

Margin of Error = 0.0272

Therefore the Margin of Error is 0.0272

b. Calculation for the margin of error and the interval estimate of the number of eligible people who had a driver’s license in 2016

First step is to calculate the Standard error using this formula

Standard error(SE)= √(pcap * (1 - pcap)/n)

Where,

pcap represent sample proportion = 0.417

n represent sample size = 1200

Let plug in the formula

Standard error (SE)= √(0.417 * (1 - 0.417)/1200)

Standard error(SE)= 0.0142

Second step is to find Zc using this formula

Zc = Z(α/2)

Where,

α = 1 - 0.95 = 0.05

α/2 = 0.05/2 = 0.025

Zc = Z(α/2) = 1.96

Now let calculate the Margin of Error using this formula

Margin of Error= zc * SE

Let plug in the formula

Margin of Error = 1.96 * 0.0142

Margin of Error = 0.0278

Therefore the Margin of Error is 0.0278

c. Based on the above calculation for both (a) and (b) the MARGIN OF ERROR are NOT the same reason been that (a) Margin of Error is 0.0272 while (b) Margin of Error is 0.0278 which simply shows that the proportion in parts (a) and are different.

a number added to one third of itself equals 12 . what is the number​

Answers

Answer:

9

Step-by-step explanation:

x+1/3x=12

(3x+1x)/3=12

4x/3=12

4x=12×3

4x=36

x=36/4

x=9

Answer:

1/3+x=12(cross multiply)

x+1=12*3

x+1=36(collect like terms)

x=36-1

x=35

27. The length and breadth of a rectangle are in the ratio 7:5 and the perimeter is 240m, find the area of
the rectangle​

Answers

Answer:

[tex]Area = 3500[/tex]

Step-by-step explanation:

Given

[tex]Length : Breadth = 7 : 5[/tex]

[tex]Perimeter = 240m\\[/tex]

Required

Determine the area

The perimeter is:

[tex]Perimeter = 2(Length + Breadth)[/tex]

This is then represented as:

[tex]240 = 2(7x + 5x)[/tex]

[tex]240 = 2 * 12x[/tex]

[tex]240 = 24x[/tex]

[tex]10 = x[/tex]

[tex]x = 10[/tex]

So, the area is:

[tex]Area = Length * Width[/tex]

[tex]Area = 7x * 5x[/tex]

[tex]Area = 7*10 * 5*10[/tex]

[tex]Area = 3500[/tex]

(5,-6) and (2,-6) find the distance between each pair points in units​

Answers

Answer:

The distance between the points is 3.

Step-by-step explanation:

Hope it helps ;)

what does l-7l mean and whats its value NEED HELP

Answers

The lines mean absolute value which mean the number inside is the distance from 0. If the number inside is negative the absolute value is always gonna be positive for example |-7| would be 7. Hope this helps

determine the scale factor

Answers

Answer:

The scale factor is (2/3)

Step-by-step explanation:

[tex]9 \times \frac{2}{3} = 6 \\ 12 \times \frac{2}{3} = 8[/tex]

I hope that is useful for you :)

Mia buys 4 ¼ pounds of plums. Her total cost after using a coupon for 55 cents off her entire purchase was $3.23. Write an equation to represent this situation.

Try to answer these

What is the total?

What will make the total - in words (be precise)

Write the words out as an equation

What don’t you know?

Write the algebraic equation.

Answers

Answer: I tried to help but i just got confused

Sorrry I didnt know the answer

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