A company surveyed adult Americans about their consumer debt. They reported that 48% of Millennials (those born between 1980 and 1996) and 60% of Gen Xers (those born between 1965 and 1971) did not pay off their credit cards each month and therefore carried a balance from month to month. Suppose that these percentages were based on representative samples of 450 Millennials and 300 Gen Xers. Is there convincing evidence that the proportion of Gen Xers who do not pay off their credit cards each month is greater than this proportion for Millennials

Answers

Answer 1

Answer:

We reject H₀ at 95 % of CI the group of Gen Xers who do not pay their credit card each month, is greater than this proportion for Millennians

Step-by-step explanation:

Sample proportion 1: Born between 1980 and 1996

sample size    n₁  = 450

p₁  =  0,48        p₁ = 48 %

x₁ = 0,48 * 450        x₁ = 216

Sample proportion 2:  Born between 1965 and 1971

sample size    n₂  = 300

p₂ =  0,60         p₂ = 60%

x₂  = 0,6* 300     x₂  = 180

Test Hypothesis:

Null Hypothesis                          H₀               p₂  =   p₁

Alternative Hypothesis              H                p₂  >  p₁

Samples both big enough to use the normal distribution as an approximation to the binomial distribution.

We assume  CI = 95 %   then significance level α   = 5 %  the alternative hypothesis tells us that we need to develop a one-tail test to the right.

z-score  is z(c)  for  α = 0,05       from z-table   z(c) = 1,64

To calculate z(s)

z(s)  =  ( p₂  -  p₁ ) / √ p*q ( 1 /n₁ + 1 / n₂)

p₂ - p₁  =  0,60  - 0,48

p₂ - p₁  =  0,12

p = ( x₁ + x₂ ) / n₁ + n₂

p = ( 216  + 300) / 450 + 300

p = 516 / 750     p = 0,688      then   q = 1 - p     q = 0,312

z(s) = 0,12 / √ 0,688*0,312* ( 1/450) + 1/ 300)

z(s) = 0,12 / √ 0,2146* ( 0,0022 + 0,0033)

z(s) = 0,12 / √ 0,001192

z(s) = 0,12/ 0,03452

z(s) = 3,47

Comparing |z(c)|   and |z(s)|

z(s) > z(c)

Then z(s) is in the rejection region. We reject H₀.

We can support the  claim that the proportion of the group Gen Xers who do not pay their credit card is greater than Millennians


Related Questions

Solve the following equation:

l -4 l x 5= x

x =

Answers

X = 20 because the Absolute value of -four is 4×5 is 20

Consider a square and a regular hexagon (a six-sided figure with sides of equal length). One side of the square is 19 feet longer than a side of the hexagon, and the two figures have the same perimeter. What are the lengths of the sides of each figure?​

Answers

Answer:

square side = 57

hexagon side = 38

Step-by-step explanation:

x = side length of square

y = side length of hexagon

x = y + 19

4x = 6y

substitute for x:

4(y + 19) = 6y

4y + 76 = 6y

subtract 4y from each side of the equation:

2y = 76

divide both sides by 2:

y = 38

x = 57

Answer:

Hi there,

Make the side of the hexagon = x

Side of square = x + 12

Both figures have the same perimeters.

4(x + 14) = 6x

4x + 56 = 6x

Collect like terms:

6x - 4x = 56

2x = 56

x = 28

Length of hexagon side = 28 feet

Length of square side = 42 feet

Hope this helps :-)

A baker uses 5 cups of flour to make 75 cookies. Using this same ratio, how many cups of flour will be needed for 45 cookies? Use the ratio table given to solve the problem.

Answers

Answer:

Since, the baker use 5cups for 75cookies.Then for 30 cookies number of cups=

=75/5

=15.

Therefore no. 1cups for 15cookies.so,for 30 cookies=

=15*2

=30.

So, 2cups are needed for 30cookies

quick its timed will give brainlyist
Which of the following units of measure would you use to find the amount of watermelon juice in a carton?
A. cups
B. yards
C. ounces
D. meters

Answers

Answer:

:::::::::::::::::::

c

Answer:

C ounces

Step-by-step explanation:

please mark me as brainiest please I didn't get any brainiest

Use long division to find the quotient of 1,467 and 58. What is the remainder?

Answers

Answer:

1467 divided by 58 equals

25 with a remainder of 17

Step-by-step explanation:

Answer:

17

Step-by-step explanation:

Help me guys pleased and thank you

Answers

Answer:

#5

Area of side faces:

A = 2(18 + 14)*14 = 896 cm²

Area of bottom face:

A = 18*14 = 252 cm²

Area of 2 triangular faces:

A = 16*14 = 224 cm²

The height of the remaining triangular faces:

h² = 16² - (18/2)² + (14/2)² = 224h ≈ 15 cm

The area of 2 triangular faces:

A = 15*18 = 270 cm²

Paper needed:

896 + 252 + 224 + 270 = 1642 cm²#6

Let the perimeter of the base is P.

If the height is increased by 1.5 cm then surface area is increased by:

1.5P

Find the mean for the data set. 1600, 1800, 1205, 1360, 1205, 1135, 1895, 1400, 1955, 1710

Answers

Answer:

1526.5

Step-by-step explanation:

To find the mean...

Add all of the numbers and then divide by how many numbers there are.

1600+1800+1205+1360+1205+1135+1895+1400+1955+1710 = 15265

15265/10 = 1526.5

Help help help help help help

Answers

Answer:

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

Can someone help me with this please ?

Answers

Answer:

x= 65

Step-by-step explanation:

x= 360- (130+75+90)

x= 360- 295

x= 65 degrees

3people equally share 4 oranges. How many oranges
does each person get?​

Answers

Answer:

[tex]1\frac{1}{3}[/tex]

Step-by-step explanation:

4/3=[tex]1\frac{1}{3}[/tex]

Answer:

4 divided by 3 = about 1.33

Step-by-step explanation:

fraction form is 1 1/3

What is the measure of angle ABC ?

Answers

Answer:

C

Step-by-step explanation:

HELP PLEASE !!!!!!!!!!

Answers

Answer:

cccccccc

Step-by-step explanation:

The anwser is c cause if you do adgibra carry the 3 divide by 1 c is your anwser you welcome

PLEASE HELP BOTS HAVE BEEN COMMENTING ON MY POSTS ALL DAY I NEED AN REAL ANSWER PLEASE IM DEPERATE

Answers

Yep the same thing happens to me

A muralist is painting the side wall of a building. The wall is shaped like a rectangle that is 60
feet long and has a diagonal length of 68 feet. If a gallon of paint can cover 800 square feet,
how many gallons will the muralist use?

Answers

Answer:

2.4 gallons

Step-by-step explanation:

to answer this question :

we have to determine the width of the rectangle.

determine the area

determine the gallons needed

Pythagoras theorem would be used to determine the width of the wall

The Pythagoras theorem : a² + b² = c²

where a = length

b = base

c = hypotenuse

60² + b² = 68²

3600 + b² = 4624

b = ²4624 - 3600 = 1024

√b = 32

Area of a rectangle = length x width

32 x 60 = 1920

Gallons needed = 1920 / 800 = 2.4 gallons

Write rational numbers between 0 and 1
-----------------------------------------------------------------------------------------
please also say how did you solve it
this question has 20 points
I will mark you as Brillant if you answer it

Answers

Step-by-step explanation:

0/1,1/1

Multiply it by any number

0/1×30=0/30

1/1×30=30/30

Now we have many choices

2/30,5/30,20/30,15/30.....so...on

What do you call a large, round body that revolves around the sun?  
A. Asteroid
B. Comet
C. Moon 
D. Planet​

Answers

Answer:

Planet

Step-by-step explanation:

Because the earth is an planet and it revolves around the sun,

Revolve: revolve means for a smaller object to go around a larger object

in this case its the planet and the sun

hope this helped good luck!!!

Answer:

It is D. i took the test

Step-by-step explanation:

Clue is a board game in which you must deduce three details surrounding a murder. In the original game of Clue, the guilty person can be chosen from 6 people, and there are 6 different possible weapons and 9 possible rooms. At one point in the game, you have narrowed the possibilities down to 4 people, 5 weapons, and 7 rooms. What is the probability of making a random guess of the guilty person, murder weapon, and location from your narrowed-down choices, and the guess being correct? Enter a fraction or round your answer to 4 decimal places, if necessary.

Answers

Answer:  

the required probability is 0.0071  

Step-by-step explanation:

Given the data in the question;

we have narrowed the possibilities down to 4 people, 5 weapons, and 7 rooms.

so total number of combinations for the narrowed down metrics is computed as follows;

using multiplication rule:

⇒ 4 × 5 × 7 = 140 ways

Now, the probability of making a random guess from our narrowed down choices as well as getting the guess correct will be;

⇒ 1 / 140

{ assuming that the narrowed down choices have within it the correction combination }

= 0.007142 ≈ 0.0071  { four decimal place }

∴  the required probability is 0.0071  

Calculate sales tax using the following information: Taxable amount of the sale: $ 189 Sales tax percentage: 6 % What is the amount of the sales tax? Round the answer to the nearest cent (hundredths).

Answers

Answer:

$11.34

Step-by-step explanation:

6% of $189 =

= 0.06 * $189

= $11.34

Can someone answer this? I’ll give points + brainalist

Answers

b because when u subtract the largest and smallest number its 20 and thats the most if u do it for all of them

Normally I would do a 100 point give away but I'm feeling sad today D: Please help cheer me up. I might think about doing a 100 point giveaway

P.S. Brainly Moderators, don't delete this, I need help, what's 1+1???

Answers

1 + 1 = 2

At first, I thought that the 1 and the other 1 meant a ten and a one, so I decided it would be 11. But soon, a classmate of mine told me it was 25. I divided it with 1 and it is divisible! And since division is also changing the numbers, I figured it would be correct that it is 25. But as I worked it out, I realized that the answer was 2. Because if you put 1 stick and add another 1, you will get 2

Hope it helped!

Ethan earns $12 per hour for walking Ms. Barns's two dogs, plus an additional $7 for brushing the dogs after their walk.

→ Let x represent the hours Ethan works.
→ Let y represent the total he earns each day.

Which number sentence best represents this situation?

A. 12 + 7 + 2 = y

B. 12x · 2 + 7 = y

C. 12x + 7 = y

D. 12x - 7 = y

Answers

Answer:

i think the answer is C. 12x+7=y :)

Step-by-step explanation:

to reflect point R(6, 10) over the y-axis. What are the coordinates for R’?

Answers

Answer:

-6, 10

Step-by-step explanation:

When you reflect of the y-axis the x will be negative if the original point was positive and the y will stay the same

The 4th grade is planting a garden for a fundraiser at school. The garden has an area of 56 square feet. The length of one side is 7 feet. What is the width of the garden?

A. 56 feet

B. 7 feet

C. 8 feet

D. 49 feet

Answers

The answer would be C sorry if wrong
Yeah the answer is C

BRAINLIEST FOR CORRECT ANSWER ASAP

Answers

Answer:

● equivalent

Step-by-step explanation:

equivalent

Answer:

the base is the answer 4

[tex] {42}^{2} [/tex]

Step-by-step explanation:

42 is the base

PLEASE HELP !! ILL GIVE BRAINLIEST !!

Answers

Answer:

ang(HIK) AND ang(GFD)

HIK GFD is the answer they are parallel

Which combination of shapes can be used to create the 3-D figure?



-Two regular pentagons and have congruent rectangles

-Two regular decagons and 10 congruent squares

-Two regular pentagons and five congruent squares

-Two regular decagons and 10 congruent rectangles

Answers

The combination of shapes that can be used to create the 3-D figure is; Two regular decagons and 10 congruent rectangles.

What combination of shapes can be used to create the 3-D figure?

From observation of the task content, if follows that the top section of the 3-D figure is a decagon (a regular polygon of 10 sides).

Hence, two decagons are needed and 10 congruent rectangles used which represents the height of the figure are needed.

Read more on polygon;

https://brainly.com/question/1592456

#SPJ2

Answer: D

Step-by-step explanation:

well cause they look like rectangles and then they have two of those things on the top and bottom ill comment on my question if I get it right, not to mention if u count the sides of the figure you'll see that they're is 10 of them lol

D:   Two regular decagons and 10 congruent rectangles 

couldn't comment on it but I got it right lol have a good day!

Kayli made 4 cups of soup for dinner. She ate 14 cups and her sister ate 11 cups. How much soup was left?​

Answers

Answer:

-21 cups.

Step-by-step explanation:

4-14-11=-21

Joanna runs at an average speed of 7.5km/h. She runs 15km every day. What time did
she leaves her house if she arrives back at 8:30 am after her morning run?

Answers

avg. speed Joanna runs: 7.5km/h
how much she runs everyday: 15km

15km/7.5= 2 hours of running time everyday

She leaves at 8:30, comes back at ?
8:30+ 2:00= 10:30

Joanna arrives back at 10:30a.m.

Answer:

She might of left her home around 8:00 possibly.

Step-by-step explanation:

Hopefully this helps you.

Please give me brainliest if it is correct.

Thank you xx

album sells for 7 percent sales tax and 10 percent off what is the total price including tax

Answers

Answer:

Are you trying to find the price before the discount and tax?

Step-by-step explanation:

Also, what album are you buying? Lol

P.S. I'll change my answer when I understand.

Answer:

You didn’t give us the price of the album, but multiply it by 0.1 then subtract that form the original price then multiply that number you got by 0.07 and that on to the number you got from the number after the 10% discount

Step-by-step explanation:

Last year Jacob’s total sales were $512,045. This year he increased his sales to $595,679. What is the increase in sales

Answers

Answer:

$83,634

Step-by-step explanation:

The computation of the increase in sales is shown below:

Given that

The total sales is $512,045

And, the increase his sales to $595,679

So based on the above information

The increase in sales is

= $595,679 - $512,045

= $83,634

Hence, the increase in sales is $83,634 that means the sales would be increased by $83,634

The same should be considered and relevant

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