An emergency fund is defined as a savings account that has a balance equal to at least two months' living
expenses. An article in a financial magazine claims that 80% of American adults do not have an emergency fund.
To investigate this claim, a financial advisor selects a random sample of 150 American adults and finds that 112 do
not have an emergency fund. The financial advisor would like to know if the data provide convincing evidence that
the true proportion of Americans who do not have an emergency fund is less than 80%. What are the appropriate
hypotheses for this test?

An Emergency Fund Is Defined As A Savings Account That Has A Balance Equal To At Least Two Months' Livingexpenses.

Answers

Answer 1

Answer:

a H I o p=0.80 vs. Ha less than 0.80, where P equals the true proportion of All American adults who do not have an emergency fund

Answer 2

The appropriate hypotheses for this test are:

H0: p ≥ 0.80

Ha: p < 0.80

We have,

The appropriate hypotheses for this test are:

Null Hypothesis (H0):

The true proportion of Americans who do not have an emergency fund is equal to or greater than 80%.

Alternative Hypothesis (Ha):

The true proportion of Americans who do not have an emergency fund is less than 80%.

Symbolically, the hypotheses can be represented as:

H0: p ≥ 0.80

Ha: p < 0.80

Where p is the true proportion of American adults who do not have an emergency fund.

To determine whether the data provide convincing evidence against the null hypothesis,

We can conduct a hypothesis test using a significance level (alpha) of 0.05.

If the p-value is less than alpha, we can reject the null hypothesis and conclude that the true proportion of Americans who do not have an emergency fund is less than 80%.

Thus,

H0: p ≥ 0.80

Ha: p < 0.80 are the appropriate hypotheses for this test.

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Related Questions

Help please, and could you show the work?

Answers

Answer:

X = 5

Step-by-step explanation:

use the graph:

look at y = -3 and find the corresponding X value (X = 5)

Solve for a
-1/4a- 4=7/4a- 3

Answers

Answer:

a=−1/2

Step-by-step explanation:

A reporter claims that 90% of American adults cannot name the current vice president of the United States. To investigate this claim, the reporter selects a random sample of 50 American adults and finds that 28 are unable to name the current vice president. The reporter would like to know if the data provide convincing evidence that fewer than 90% of American adults are unable to name the current vice president. Are the conditions for inference met?
Group of answer choices

Yes, the conditions for inference are met.

No, the Large Counts Condition is not met.

No, the 10% condition is not met.

No, the randomness condition is not met.

Answers

Answer: B

Step-by-step explanation:

No, the Large counts conditio is not met

The correct option is that, No, the Large Counts Condition is not met.

What are the Conditions for Inference?

Conditions for inference are the three conditions on a mean are randomness, whether it is normal distribution and the independence of the test.

Given that,

The reporter selects a random sample of 50 American adults and finds that 28 are unable to name the current vice president.

So the sample is random.

10% condition is also met since the sample size is 50, which must be less than 10% of the total population.

So the 10% condition is also met.

Large counts condition is the condition which requires the sample size to be large enough for the distribution to be approximately normal.

So, the large counts condition is not met.

Hence the correct option is that condition of inference is not met since the Large Counts Condition is not met.

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9. Simplify the expression: 8(5x-3y) *

Answers

Answer:

40x- 24y

Step-by-step explanation:

What is the function notation for A(2,-5) B(5,-2) C(4,3)

Answers

Answer:

b?

Step-by-step explanation:

if I'm wrong sorry I'm just answering questions even if I dont 100% know

The line L passes through the points (0,7) and (3,19). Work out the equation of the line L.

A) y = 4x +7
Or
B) y = 4x + 19

Can you help? ​

Answers

Answer:

A

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Calculate m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (0, 7 ) and (x₂, y₂ ) = (3, 19 )

m = [tex]\frac{19-7}{3-0}[/tex] = [tex]\frac{12}{3}[/tex] = 4

The line crosses the y- axis at (0, 7 ) ⇒ c = 7

y = 4x + 7 → A

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Water Cycle Diagram
Label the diagram using the following tags: precipitation, sun, evaporation, clouds, condensation, water

Answers

Answer: #4 = precipitation

               #3 = evaporation

           #2 clouds

           #1= sun

         #5= water

     

Step-by-step explanation:

Answer:

1: sun

2: clouds

3: Evaporation

4: Precipitation

5: Water

Step-by-step explanation:

Which of the following functions has a graph with a vertex that is a translation 5 units horizontally to the right of the vertex of the graph of y = (x - 1)2+3?

Answers

Answer:

[tex]g(x) = (x-6)^2 +3[/tex]

Step-by-step explanation:

Given

[tex]y = (x - 1)^2 + 3[/tex]

Required:

Shift 5 units to the right

f(x) = (x + 2)^2 + 2

 

The parabola is written as:

[tex]y = a(x-h) ^2 +k[/tex]

Where [tex](h,k)[/tex] is the vertex

Compare [tex]y = a(x-h) ^2 +k[/tex] to [tex]y = (x - 1)^2 + 3[/tex]

The vertex is:

[tex]Vertex =(1,3)[/tex]

 

Shift 5 units to the right

The rule is:

[tex](x,y) \to (x + 5,y)[/tex]

So, we have:

[tex](1,3) \to (1 + 5,3)[/tex]

[tex](1,3) \to (6,3)[/tex]

The new function is:

[tex]g(x) = a(x-h) ^2 +k[/tex]

[tex]g(x) = (x-6)^2 +3[/tex]

In each equation, select an operation to make the equation true. 24 ____34=18 24 ____−34= - 32 12 ____ -15 = -3 12 ____ -15 = 27 -18 ____ −34= 24

Answers

Answer:

1) 24 - 40 + 34 = 18

2) 24 - 22 - 34 = -32

3) 12  + 0 -15 = -3

4) 12 + 30 -15 = 27

5) -18 + 76 -34 = 24

Step-by-step explanation:

The given equations are;

1) 24 _ 34 = 18

We have;

18 - (34 + 24) = -40

Therefore;

24 - 40 + 34 = 18

2) 24 _ - 34 = -32

We have;

-32 - (24 - 34) = -22

Therefore;

24 - 22 - 34 = -32

3) 12 _ -15 = -3

We have;

-3 - (12 - 15) = 0

Therefore;

12  + 0 -15 = -3

12 - 15 = -3

4) 12 _ -15 = 27

We have;

27 - (12 - 15) = 30

Therefore;

12 + 30 -15 = 27

5) -18 _ -34 = 24

We have;

24 - (-18 - 34) = 76

Therefore;

-18 + 76 -34 = 24.

1. 24 x 34=18

2. 24 ➗ -34=-32 (i dont have the division thing lol)

3. 12 - 15=-3

4. 12 - (-15)=27

5.  -18 x -34=24

HELP

NO LINKS

I NEED TO TURN THIS IN ASAP I APPRECIATE ALL HELP

Answers

Y = 1/4x + 1
your slope is 1/4 and your starting point is 1

Find the area of the red region.

Brainliest Will Be given!!!

Xtra points!!

Thebecks if your're on still!!

PLZ!!!!!

NO INKS OR YOU WILL GET REPORTED!!!!!!!!

Answers

Answer:

11.59 cm²

Step-by-step explanation:

area of entire circle:

A = (3.14)(9.28²) = 270.41 cm²

area of 68.9° segment:

(68.9/360)(270.41) = 51.75 cm²

area of triangle:

the triangle is equilateral so both the corners opposite 68.9° are equal  so they are = (180 - 68.9)/2 = 55.55° each.

1/2 the base will be:

cos 55.55 = b/9.28

b = 5.25, full base =10.5 cm

sin 55.55 = height/9.28

height = 7.65 cm

A = 1/2(10.5)(7.65) = 40.16 cm²

area of chorded section = 51.75 - 40.16 = 11.59 cm²

In the diagram of triangle FJH below, KG || JH, FK=3, KJ=15, and FG=4. What is the length of FH?

Answers

Given:

In triangle [tex]FJH,KG\parallel JH, FK=3, KJ=15,\text{ and }FG=4.[/tex]

To find:

The length of [tex]FH[/tex].

Solution:

Basic proportionality theorem(BPT): If a line intersect the two sides of a triangle and parallel to third side of the triangle, then it divides the sides proportionally.

In triangle [tex]FJH,KG\parallel JH[/tex].

Using BPT, we get

[tex]\dfrac{FK}{KJ}=\dfrac{FG}{GH}[/tex]

[tex]\dfrac{3}{15}=\dfrac{4}{GH}[/tex]

On cross multiplication, we get

[tex]3\times GH=4\times 15[/tex]

[tex]GH=\dfrac{60}{3}[/tex]

[tex]GH=20[/tex]

Now,

[tex]FH=FG+GH[/tex]

[tex]FH=4+20[/tex]

[tex]FH=24[/tex]

Therefore, the length of FH is 24 units.

Write each equation in standard form -3x+5y=-5

Answers

Answer:

Free math problem solver answers your algebra, geometry, trigonometry, calculus, and statistics homework questions with step-by-step explanations, just like a ...

Step-by-step explanation:

standard form: 3x- 5y = 5

The equation P=2(l+w) gives the perimeter P of a rectangle, where l is the length and w is the width. Solve this equation for w.

Answers

Answer:    P = 2(L + W)     distribute the 2

P = 2L + 2W      subtract 2L from both sides

P - 2L = 2W       divide both sidesby 2

(P - 2L)/2 = W

A base is labeled on the triangle below (look at picture!)

Answers

Answer:

It's A.

Step-by-step explanation:

Translate each expression
No answering with a link !!!

Directions :
Translate each expression 1-6

Answers

Answer:

Solving the first 6Assumed the number is x#14x - 1#2(2/3)x + 7#3m - n#4x² - 9#52x/5#6(1/4)x + 27

Find the diameter of the circle with a circumference of 27 centimeters. Use 3.14 for π. Round to the nearest tenth.

Answers

Answer:

Step-by-step explanation:

Circumference= πd = 27 cm

d = 27/π = 8.6 cm

A solid metal rectangular pyramid has a base that measures 16 cm by 25 cm The Solid is melted and recast into a solid cavare pyramid of the same height. Find the length of the side of the base of the square pyramid.

Answers

12 yesyrsyrsjsnskwnbewnisenenekek

QUICK GIVING BRAINLIEST TO THE CORRECT ANSWER

Answers

Answer:

0.25

Step-by-step explanation:

Answer:

25% as a decimal is 0.25 I think

Step-by-step explanation:

Evaluate.

f(x)=17-5x at x=x+h

Answers

Step-by-step explanation:

f(x)=17-5x

if x=x+h then you can insert x+h for x in the equation of f(x)

f(x)=17-(x+h)-5x

distrubute and simplify

f(x)=17-6x-h

So that line contains the points where 17-5x and x+h intersect.

Hope that helps :)

What is -1/2 times 1/4-3/8?

Answers

Answer:

The answer is -0.5

Step-by-step explanation:

Pls help me out!!!!!

Answers

Answer:

cab=62

cba=48

x=12

Step-by-step explanation:

70+x+50+4x=180

combine like terms

120+5x=180

-120. -120

5x= 60

isolate x

5x=60

x=12

can someone please help me? also please explain or you’ll get reported ;)

Answers

Answer:

PX = 2√11

Step-by-step explanation:

here's your solution

==> ZX = 12 m

==> ZP = 10 m

==> by using Pythagoras theorem

==> PX^2 = ZX^2 - ZP^2

==> PX^2 = 12^2 - 10^2

==> PX^2 = 144 - 100

==> PX^2 = 44

==> PX = √44

==> PX = 2√11

hope it helps

solve for y -20x - 4y = 16

Answers

Answer:

y = -5x - 4

Step-by-step explanation:

-20x - 4y = 16

-4y = 20x + 16

4y = -20x - 16

y = -5x - 4

Write an equation to represent the situation: Last summer, Gary trained 14
more dogs than Zina. Together they trained 82 dogs. How many dogs did Gary train?

Answers

Answer:

A. g + (g + 14) = 82

Bonus: Gary trained 48 dogs. Triana trained 34.

Step-by-step explanation:

Since Gary trained 14 MORE dogs, anything with a minus sign is definitely wrong. As a result, B & C are eliminated. D is also eliminated because that simplifies to 2g + 28 = 82, which signifies Gary trained 28 more dogs, which is not true. That leaves A as our answer.

g + g + 14 = 82

Combine g & g to get 2g.

2g + 14 = 82

Subtract 14 from both sides.

2g = 82 - 14

2g = 68

Divide both sides by 2.

g = 68/2

g = 34

With that, we now know Triana trained 34 dogs. Add 14 to that, and you get 48 dogs, which is how many Gary trained.

A basket contains 10 red apples and 7 green apples. One apple is selected at random and is not replaced. A second apple is then selected What is the probability that the first apple!
green and the second apple is red?

Answers

The percentage of 7 green apples out of 17 total apples in means of getting one selected is 41%.

Therefore, finding the percentage of 10 out of 17 concludes that a then 58% chance of a red apple being chosen is present.

Find two positive numbers, such that, the product of the first number squared and the second number is 54 and the Sum is a mimimum. What is the minimum sum?

Answers

ThenConnor you are a waste of sperm

What is another word for relative frequency?

Answers

Answer:

frequency, relative frequency(noun) the ratio of the number of observations in a statistical category to the total number of observations. Synonyms: frequency, oftenness, absolute frequency, frequence.Step-by-step explanation:

brainliest?

Answer: frequency; ratio.

Step-by-step explanation:

If AAED is dilated to points A, C, and B, which statement is true?
A)
AAED - AACB
B)
AAED AACB
The area of AAED is half the area of AACB
D)
The perimeter of AAED is one-fourth the area of AACB

Answers

Answer:

A

Explanation:

Calculate the length of each side, and add.

AD is the long leg, and AE is the short leg

So we know the basic info. Use to solve.

Hope this helped, and please mark as Brainliest <3

Maurice fills a ball in the shape of a sphere with air. The diameter of the ball when it is filled is 24 inches. How much air, in cubic inches, is in the ball when it is filled? Solve in terms of π like the example above.


PLEASE HELP ME

Answers

Answer:

2304pi inches³

Step-by-step explanation:

volume of ball = 4/3pi r³

=4/3 x pi x 12³=2304 pi inches³

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