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

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

find the absolute value of -5 1/6

brainliest to right answer​

Use the given graph to determine the limit, if it exists.

i need help fast, thank you!!!

pls help im so confused find m

1 kilogram is equal to 1,000 grams. How many grams are in 4 kilograms, 35 grams?

Solve for x and y:
Ty– 5x = 45
x = 8 - 2y
O x = 5, y = 10
O x = 5, y = -2
x = -2, y = 5
O x = 4, y = 2

help pls pls pls シ

And thanks!

What is the center of the circle given by the equation
(x - 2)^2 + (y + 4)^2 = 6?

A. (-2,-4)
B. (2,-4)
C. (-2,4)
D. (2,4)

The box fill weight of Frosted Flakes breakfast cereal follows a normal distribution with a mean of 9.75 ounces and a standard deviation of 0.27 ounces. A sample of 25 boxes filled this morning showed a mean of 9.85 ounces. At the 0.05 significance level, can we conclude that the mean weight is more than 9.75 ounces per box

Which Angle measurements create a Triangle?

A 60,60,61
B 100,50,50
C 90,45,45
D 90,90,80

Which expressions are equivalent to 16^(3/2)?

Ms. Chang has 16 students in her class. She wants to send 3 of her students to pick up books for the class. How many combinations of students can she choose?

A researcher conducted a hypothesis test to see if students on average spend more than 1 hour per homework assignment. The level of significance, a, selected was 0.05. This means that if on average they do spend exactly 1 hour per assignment, then there is a 5% chance that the erroneous conclusion will be made that students spend on average more than 1 hour per assignment.

a. Trueb. False

Help me pls I’ll mark you brainless

Scarlet made a scaled copy of the following quadrilateral. She used a scale factor greater than 1. What could be the length of the side that corresponds with AD on the scaled copy of quadrilateral.​

It cost 5.50 for parking, plus an additional $8 for each concert ticket purchased. If joe starts off with a 50 dollar bill and buys 3 concert tickets and a 10$ T-shirt, how much money will he have left? PLEASE HELP

Look at the photo! Please help

Anna has n number of nickels. She has less than 45 cents. Which inequality could be used to the find the value of n?
A 0.05n < 0.45
B 0.05n > 0.45
C 0.05n < 0.45
D 0.05n > 0.45

A room in the shape of an octagon has a perimeter of 72 feet. What is the length of each side of the room? Let s represent the length in feet of each side of the room. Write and solve an equation for s.​

PLEASE HELP !!!! ILL GIVE BRAINLIEST !!!

Liz has 4 times as many points as Joey in a video game. Together they have fewer than 150 points. Which inequality can be used to determine the least number of points that Joey can have?

A. 4x+4<150
B. 4x+4≤ 100
C. 4x+x<150
D.4x+x≥150
I will select u as brilliant :)​

Find the sum of the first 20 terms of the sequence {4,10,16,22,...} step by step

Anyone know how to do the chart

What’s the answer to this question ?

Fill in the boxes to make a true statement. (_-3i)-(15+_i)=7-12i

The school is trying to paint one side of the curved dividers as show below for the computer lab. The
can of paint is able to cover an area of 25ft?. Will this be enough paint? Select the best answer.

someone please answer without links please, thankyouuu

how much does a bike with an acceleration of 2ms^-2 take to increase it's velocity from 10ms^-1 to 30ms^-1? help!! with explainations and show the work, if possible. thank you!​

Directions: Type your answer in the box below without using the ($) symbol.

Wesley had $792.38 in his checking account. He made the following transactions:
• He bought groceries at Food Lion using his debit card for $58.62.
• He received $50.00 for his birthday and deposited the money into his checking account.
• He made a withdrawal at the ATM from his checking account in the amount of $120.00. • He purchased a pair of shoes from the mall using his debit card in the amount of $64.98.
What was the final balance in his checking account after these transactions? ​

Is (9,5) a solution to this system of inequalities?
X + y > 14
7x + 13y > 15
yes
no