Construct the indicated confidence interval for the difference in proportions. Assume that the samples are independent and that they have been randomly selected.A marketing survey involves product recognition in New York and California. Of 558 New Yorkers surveyed, 193 knew the product while 196 out of 614 Californians knew the product. Construct a 99% confidence interval for the difference in the proportions of New Yorkers and Californians who knew the product.

Answers

Answer 1

Answer:

CI 99%   =  ( - 0.0009 ;  0.0541 )

Step-by-step explanation:

Sample 1 New Yorkers

sample size    n₁   =  558

x₁  =  193

p₁ = x₁/n₁   =  193/ 558      p₁ =  0.3458  q₁ =  1  - p₁   q₁  =  1  -  0.3458

q₁  =  0.6542

Sample 2  Californians

sample size     n₂  =  614

x₂  =  196

p₂  =  x₂/n₂  =  196 / 614    p₂ = 0.3192   q₂  =  1  -  p₂   q₂ =  1 - 0.3192

q₂ =  0.6808

CI 99 %    means   significance level α  = 1 αα%    α = 0.01

α/2  =  0.005

In z-table we look for z score for  0.005    z (c) =  2.57

CI 99 %  =  [  (  p₁  -  p₂ ) ±  z(c) * √( p₁*q₁)/n₁  + ( p₂*q₂)/n₂

p₁ - p₂  =  ( 0.3458 - 0.3192 )  =  0.0266

√( p₁*q₁)/n₁  + ( p₂*q₂)/n₂   =√  0.3458*0.6542)/558 +  0.3192*0.6808)/614

√( p₁*q₁)/n₁  + ( p₂*q₂)/n₂   = √ 4.05*10⁻⁴   +  3.54 * 10⁻⁴

√( p₁*q₁)/n₁  + ( p₂*q₂)/n₂   =  10⁻² * √7.59    =  10⁻²  *  2.75

Then:

CI 99 %  =  0.0266  ±  2.75 * 10⁻²

CI 99%   =  0.0266   ±  0.0275

CI 99%   =  ( - 0.0009 ;  0.0541 )


Related Questions

what is 10000000000+10000000000

Answers

Answer:

20000000000000000000000000000

The diagram shows a cubeAh=11.3cn correct to the nearest millimetre calculate the lower bound for the length of an edge of the cub you must show all your working

Answers

Answer:

Lower bound for the length of the edge = 42.5 cm

Step-by-step explanation:

From the picture attached,

FH is the diagonal of square EFGH.

Therefore, length of diagonal FH = [tex]\sqrt{FG^2+HG^2}[/tex]

(By applying Pythagoras theorem)

In triangle AFH,

AH² = AF² + FH²

       = AF² + [tex](\sqrt{FG^2+HG^2})^2[/tex]

       = AF² + FG² + HG²

AH² = 3HG²

(11.3)² = 3(HG²)

HG = [tex]\sqrt{\frac{127.69}{3}}[/tex]

HG = 42.563 cm

For distance correct to the nearest mm, lower bound for the length of the edge = 42.5 cm

And upper bound for the length of the edge = 43.6 cm

The side lengths of a cu be are congruent, so the edge length of the cu be is 65 mm

The length of diagonal A H is given as:

[tex]\mathbf{AH = 11.3cm}[/tex]

Considering triangle A FH, we have:

[tex]\mathbf{AH^2 = A\ F^2 + FH^2}[/tex]

So, we have:

[tex]\mathbf{11.3^2 = A\ F^2 + FH^2}[/tex]

Considering triangle HE F, we have:

[tex]\mathbf{FH^2 = EF^2 + EH^2}[/tex]

Substitute [tex]\mathbf{FH^2 = EF^2 + EH^2}[/tex] in [tex]\mathbf{11.3^2 = A\ F^2 + FH^2}[/tex]

[tex]\mathbf{11.3^2 = A\ F^2 + EF^2 + EH^2}[/tex]

The side lengths of a cu be are congruent.

This means that: A F = EF = EH

So, we have:

[tex]\mathbf{11.3^2 = A\ F^2 + A\ F^2 + A\ F^2}[/tex]

Evaluate like terms

[tex]\mathbf{11.3^2 = 3A\ F^2}[/tex]

Evaluate squares

[tex]\mathbf{127.69 = 3A\ F^2}[/tex]

Divide both sides by 3

[tex]\mathbf{42.563= A\ F^2}[/tex]

Take square roots

[tex]\mathbf{6.52= A\ F}[/tex]

Rewrite as:

[tex]\mathbf{A\ F = 6.52cm}[/tex]

Convert to m m

[tex]\mathbf{A\ F = 6.52 \times 10mm}[/tex]

[tex]\mathbf{A\ F = 65.2\ mm}[/tex]

Approximate

[tex]\mathbf{A\ F = 65\ mm}[/tex]

Hence, the edge length is 65 mm

Read more about cu bes at:

https://brainly.com/question/23261883

Zoom
Solve for x: 5x = 25
20
25
( 5
0.30

Answers

Answer:

5x = 25|:5

x = 5

Kirenna's boss, Tanae, believes that women are not capable of making top-level decisions. Kireena's decisions are often sidelined by those of Tanae. When Kirenna confronts Tanae, he terminates her employment. Which of the following is the most appropriate suit that will help Kirenna?

a. a retaliation lawsuit
b. a forgery lawsuit
c. a reverse discrimination suit
d. a public policy violation lawsuit
e. a civil right infringement lawsuit

Answers

Answer:

e. a civil right infringement lawsuit

Step-by-step explanation:

A civil right infringement lawsuit is a lawsuit filed by an offender whose civil rights have been violated by others. Civil rights are those rights of the citizens that is guaranteed by the Constitution of the United States to its people. They are right to equality, right to freedom, right to employment and all those rights that is included in the Bill of Rights of the US constitution.

So, when Kirenna was terminated by her boss, Tanae on the grounds on the discrimination of gender, Kirenna can file a civil right infringement lawsuit against her boss, Tanae.

Explain how to solve the following equation in your own words:
9x-13=23

Answers

Answer:

[tex]x = 4[/tex]

Step-by-step explanation:

[tex]9x-13=23[/tex]

[tex]9x=23+13[/tex]

[tex]9x = 36[/tex]

[tex]x = \frac{36}{9} [/tex]

[tex]x = 4[/tex]

Hope it is helpful....

Answer:

X=4

Step-by-step explanation:

9x-13=23

9x=23+13

x=(23+13)/9

x=4

HELP ASAP Write an equation of a line that passes through the point (2,1) and is perpendicular to the line y=1/3x+2

Answers

Answer:

y = -3x + 7

Step-by-step explanation:

a line perpendicular to y=1/3x + 2 must have a slope of -3 (the opposite reciprocal)

we can use slope (m) of -3 and the point (2,1) to write the equation:

y = mx + b

1 = (-3)(2) + b

1 = -6 + b

b = 7

Putting it all together you get:

y = -3x + 7

A silo contains 60,000 pounds of grain.

How many tons are in 60,000 pounds?

Answers

Answer:

30

Step-by-step explanation:

Answer:

30

Step-by-step explanation:

I took the quiz, I hope this helps!

Use the Empirical Rule. The mean speed of a sample of vehicles along a stretch of highway is miles per​ hour, with a standard deviation of miles per hour. Estimate the percent of vehicles whose speeds are between miles per hour and miles per hour.​ (Assume the data set has a​ bell-shaped distribution.)

Approximately % of vehicles travel between 61 miles per hour and 71 miles per hour.

Answers

Answer:

68%

Step-by-step explanation:

We observe that the mean of the sample is (61+71)/2 = 66 mph which means the standard deviation of the sample is 5 because 66-5=61 and 66+5=71. The Empirical Rule states that for data observed in a normal distribution, 68% of data will fall within one standard deviation of the mean. Therefore, approximately 68% of vehicles travel between 61 miles per hour and 71 miles per hour.

Not hard. Just don't feel like doing it. Plus I wanna give some points out!





-Bᴇᴀʀ

Answers

Diego has 3 times as many, so you would multiply the amount Han had by 3.

Han has 6, so Diego has 6 x 3 = 18 comic books

A. 18 comic books.

To find the number Han has using what Diego has you would divide Diego’s number by 3:

27/3 = 9

Han has 9 comic books

B. 9 comic books

Solve for x. Round to the nearest tenth, if necessary.
S
9
х
Q
75°
R

Answers

Trigonometry:

Sine 75 = x/ 9
x = 9 Sine 75
x = 8.7

2
0
-1
-2
2
-2
(-3.4)
What is the equation of the given line?
y = -4x
x = -4
y = -4

Answers

Answer:y=-4

Step-by-step explanation:

THE Roger manages an ice cream stand. He keeps track of how many minutes each customer stands in line. Wait Times (in minutes 1.5 13 5 ET Roger wants to organize the data to make a line plot. Drag the numbers to show the frequency for each wait time Numbers may be used more than once. 4 || 5 Frequency 21 Hi Next >​

Answers

Answer:

0.5 = 2

0.75 = 2

1.0 = 3

1.25 = 4

1.5 = 5

2.0 = 2

2.25 = 1

2.5 = 1

Mohammad is flying a kite with a 100 foot string. The kite string makes an
angle of 42° with the ground. Find the height of the kite. Round to the nearest
tenth.

Answers

Answer:

A?

Step-by-step explanation:

So sorry if im wrong

Answer:

66.9 ft from the ground

use this if you have a problem like this again

https://www.calculator.net/triangle-calculator.html

how to find the surface area of composite figures

Answers

A composite 3D figure is a three dimensional figure made up of basic three dimensional figures such as cubes, prisms, pyramids, cylinders, cones, etc. To find the surface area of a composite 3D figure, add the areas of each geometric figure making up the composite 3D figure.

please help! can you explain it to me?

Answers

Answer:

It is increasing before x = -2 and from x = 0 to x = 2

Step-by-step explanation:

Option 1 - you can see the line going down starting at -2 and that means the line is decreasing but the choice says "It is increasing before x = 0". This contradicts the actual graph.

Option 2 - The line isn't increasing before x= -1, it's actually decreasing as seen in the graph.

Option 3 - The line doesn't even touch the point before x = -3 so this choice makes no sense.

Option 4 - Since all the other choices were eliminated this is the only choice standing. Looking at the line it is increasing before x = -2.

Graph the linear function.
g(x) = -1/2x +2

Answers

Answer:

UwU

Step-by-step explanation:

Hoped I helped

pls help alot of points

Answers

Answer:

the perimeter is given in__in__, the height in_in___, and area of the base in_in²__.

so

none of the above.

Answer:

d

Step-by-step explanation:

none of the above

pls pls i need the answer and A REALLY GOOD EXPLANATION pls pls

Answers

Answer:

15/50 will be your answer 30%

Step-by-step explanation:

First add them all up.

Then you want to make a simple equation

15/50

Answer:

30%

Step-by-step explanation:

15+10+2+20+3 = 50

therefore 15 is 30% of 50

You are in an airplane 5.7 miles above the ground. What is the measure of BD⌢, the portion of Earth that you can see? Round your answer to the nearest tenth. (Earth's radius is approximately 4000 miles.)

Answers

awnser

12

Step-by-step explanation:

match the prefixes with the metric unit ​

Answers

Answer:

kilo =1*10^3 grams

nano=one millionth

micro=0.01 litres

centi=0.0000000001 meters

Step-by-step explanation:

The perimeter of the figure below, in inches.

Answers

Answer:

just use a calculator and add all the numbers-

Step-by-step explanation:

add

What is the area of the following picture ( HELP PLEASE )

Answers

Answer:

area=l*b

10*8

80#

Step-by-step explanation:

hope you like it

cats behave in an uncanny manner that often puzzles and disturb humans.

what does uncanny mean?

1. industrious
2. delightful
3. humorous
4. mysterious

Answers

Answer:

mysterious

Step-by-step explanation:

None of the other words fit...plus you can use context clues.  It states in the sentence that cat behavior often disturbs and puzzles humans.  If something puzzles humans...then they likely don't understand it.  Mysterious would be the best choice.

Evaluate.

5^2+7·3+4

A. 40

B. 50

C. 55

D. 224

If someone could help me that would be great!

Answers

Answer:

B. 50

Step-by-step explanation:

5^2 +7*3 +4 = 25+21+4

                   = 25+25

                   = 50

[tex]5²+7·3+4[/tex]

[tex] {5}^{2} + 21 + 4[/tex]

[tex]25 + 25 = 50[/tex]

Help PLEASE!!! Math Final. ASAP!!!!!!!!!!!!

Answers

The volume for the cube is 245 inches, I’m not sure about the other one though.

Indra was is wrapping the blocks below how much wrapping paper does she need

Answers

Answer:

D) 180

Step-by-step explanation:

Formula for Surface area of Rectangular prism is

A = 2(lw+wh+lh)

A = 2(6*8 + 8*3 + 6*3)

A = 2(48 + 24 + 18)

A = 2 * 90

A = 180

Students were asked whether they walk, drive, or ride the bus to school. The results. by gender, are shown in the table.
Walk Drive Ride Bus
Male 30 60 10
Female 20 50 30

Select all the statements that illustrate conditional probability?
A. of all students, the probability of choosing a male.
B. Of the students who walk, the probability of choosing a female.

OC. of all students, the probability of choosing a male who walks.
D. Of the females. the probability of choosing one who rides the bus.
E. Of all students, the probability of choosing a student who drives.

Answers

Answer:

B. Of the students who walk, the probability of choosing a female.

D. Of the females, the probability of choosing one who rides the bus.

Step-by-step explanation:

Conditional probability is the chance of something happening provided that something else has previously occured (think dependent events).

For example, the probability of getting into college P(college) is Event A.

The probability of receiving dormitory housing P(housing) is Event B.

First, the person must get into college before they are even able to receive dormitory housing. Therefore, this is a situation of conditional probability. The "condition" of being accepted into the college (Event A) is necessary before the individual can attempt Event B, housing.

The key word in the question is "Of all the students." This means that from the first instance, you are only calculating one probability.

However, in B, it first singles out "all the students who walk."

Therefore p(walk) must be met before p(gender) can happen.

Same with D, it singles out "of the females."

Therefore p(gender) must be met before p(transportation) can happen.

C does have two categories, but since it is still out of the general draw pool "of all students," it is not conditional. No condition needs to be met first to choose a male who walks out of ALL students.

PLEASE HELP AS SOON AS POSSIBLE

Answers

Answer:

FALSE

TRUE

TRUE

Step-by-step explanation:

For median,

Arrange your numbers in numerical order.

Count how many numbers you have.

If you have an odd number, divide by 2 and round up to get the position of the median number.

If you have an even number, divide by 2. Go to the number in that position and average it with the number in the next higher position to get the median.

Source: https://www.verywellmind.com/how-to-identify-and-calculate-the-mean-median-or-mode-2795785

So for April median: 2.5, 3, 3.5, 3.5 (since we have 4 numbers we divide by 2 and we count by 2 places from left. Since we have even number data, we average 3 with the next higher position to get the median so (3+3.5)/2 = 3.25

For May apply same concept and you get median to be 2.25.

Median difference is 3.25-2.25 = 1

Therefore, statement 1 is false and statement 2 is true.

For average in May, add all numbers and divide by the number of data points so May= (2.5+3+3.5+3.5)/ 4 = 3.13

Apply same concept you for April and you get 2.38 as mean.

Mean difference is 3.13-2.38 = 0.75

Therefore, statement 3 is correct (true)

girlcome 5324611502
p:1234​

Answers

Answer:

Hi there! Subscribe to my animations Y0UTUBE channel! Channel name: Let Me Explain Studios. Have a nice day!

Step-by-step explanation:

Find the sum of -3x2 -4x+3 and 2x2-x+3

Answers

Answer:

Assuming the 2 at the ends are the exponents,

the answer is -x^2-5x+6 (x^2+5x-6)

from here, it cannot be simplified more

Explanation --

Just add everything by putting the terms in parentheses and adding them.

Keep simplifying by putting the like terms together and adding/subtracting them.

At the end, you come up with -x^2-5x+6, so multiply -1 on the whole thing (by putting parentheses on its sides. This makes x positive. But they are the same thing, but this step is just for simplifying the end product a little more.

Hope this helps!! Have a nice day!

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