Ava read an article claiming that 10% of people in her county were senior citizens, and she wondered if this held true for residents in her city. She took a random sample of 225 people from her city to test H0 : p = 0.10, where p is the proportion of people in her city that are senior citizens. Ava found that approximately 14% of those sampled were senior citizens. She conducted an appropriate significance test, and the resulting test statistic was z ≈ 1.89z. Assume that the conditions for inference were met.

Answers

Answer 1

Complete Question

Ava read an article claiming that 10% of people in her county were senior citizens, and she wondered if this held true for residents in her city. She took a random sample of 225 people from her city to test H0 : p = 0.10, where p is the proportion of people in her city that are senior citizens. Ava found that approximately 14% of those sampled were senior citizens. She conducted an appropriate significance test, and the resulting test statistic was z ≈ 1.89 z. Assume that the conditions for inference were met.calculate the p-value for Ellie's significance test

Answer:

The p-value is  [tex]p-value  = 0.0588[/tex]

Step-by-step explanation:

From the question we are told that

   The percentage of senior citizens is  p =  0.10  

   The sample size is  [tex]n  =  225[/tex]

   The  sample proportion is  [tex]\^{p} =  0.14[/tex]

   The test statistics is  [tex] z \approx =   1.89[/tex]

The null hypothesis  is  [tex]H_o  :  p = 0.10[/tex]

The alternative hypothesis is   [tex]H_a  :  p \ne 0.10[/tex]

   Generally the p-value is mathematically represented as

       [tex]p-value  =  2 *  P(Z > 1.89 )[/tex]

From the z-table  

       [tex]P(Z > 1.89 )  =   0.029379[/tex]

=>     [tex]p-value  =  2 *   0.029379[/tex]

=>     [tex]p-value  = 0.0588[/tex]

Answer 2

Answer:

No because 0.06>0.05

Step-by-step explanation:

kahn


Related Questions

Whats the ratio of 40 to 30 I need help

Answers

Answer:

Answer: 75%

Step-by-step explanation:

Need Help Asap) Graph the piecewise function. ( Look at the picture). Will Mark Brainliest.​

Answers

Answer:

This should help.

Step-by-step explanation:

In the diagram, quadrilateral LMNO is a parallelogram. What is the length of ?

A.
6

B.
5.66

C.
5.39

D.
2.24

Answers

Answer:

NP = 5.39

Step-by-step explanation:

This is the answer because opposite diagonals have equal lengths.

In quadrilateral LMNO which is a parallelogram, diagonals bisect each other, hence NP = LP = 5.39

What is a polygon?

A polygon can be defined as a two-dimensional closed shape with straight sides and no curved side. Types of polygons are triangle, quadrilateral, pentagon, hexagon, etc.

A parallelogram is a quadrilateral (four sides and four angles) in which opposite sides are equal and parallel. Opposite diagonals bisect each other.

In quadrilateral LMNO:

NP = LP = 5.39 (diagonals bisect each other)

In quadrilateral LMNO which is a parallelogram, diagonals bisect each other, hence NP = LP = 5.39

Find out more on polygon at: https://brainly.com/question/1592456

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Refer to Table 9.2. (Data are expressed in billions of dollars).

Full Employment Income (Output) Consumers Desire to Spend Investors Desire to Spend Total Private Spending Total Saving
$500 $300 $250 $___ $___
600 375 250 $___ $___
700 450 250 $___ $___
800 525 250 $___ $___

If the full-employment level of income (YF) in Table 9.2 is $800 billion

A. There is a recessionary gap of $25 billion.

B. The economy is in equilibrium.

C. There is an inflationary gap of $250 billion.

D. There is a recessionary gap of $275 billion.

Answers

Answer:

A)There is a recessionary gap of $25 billion.

Step-by-step explanation:

Full Employment   Consumers   Investors    Total Private    Total Saving

Income (Output)     Desire to      Desire to        Spending

                               Spend             Spend

$500                       $300                  $250           $___            $___

600                           375                   250             $___            $___

700                           450                   250             $___            $___

800                           525                   250            $___             $___

Total Private spending = Consumers desire to spend + Investors desire to spend

Total savings = Income - Total private spending

Using these formulas :

Solution Table

Full Employment   Consumers   Investors    Total Private    Total Saving

Income (Output)     Desire to      Desire to        Spending

                               Spend             Spend

$500                       $300                  $250           550            -50

600                           375                   250             625            -25

700                           450                   250             700              0

800                           525                   250            775              25

If the full-employment level of income (YF) in Table 9.2 is $800 billion So, There is a recessionary gap of $25 billion. Since total saving is $25

So, Option A is true .

12/3×11/3 why the exponents can not be added

Answers

Answer:

The bases are not the same.

Step-by-step explanation:

12/3 is not equal to 11/3

Therefore we cannot add the exponents together.

Hope I helped :)

Answer:

(see below)

Step-by-step explanation:

12³ × 11³ is NOT equivalent to (12 × 11)[tex]^{3(3)}[/tex] because:

1) 12³ and 11³ don't have the same bases. They have to both have a base of 11 or of 12.

2) 12³ × 11³ and (12 × 11)[tex]^{3(3)}[/tex] are different because (12 × 11)[tex]^{3(3)}[/tex] is a whole different number altogether. Here's why:

12³ × 11³ = 1728 × 1331

              = 2,299,968

(12 × 11)[tex]^{3(3)}[/tex] = [tex](132)^{9}[/tex]

                  = 1.216649217 × [tex]10^{19}[/tex]

However, (12 × 11)³ would be equivalent to 12³ × 11³.

(12 × 11)³ = (132)³

               = 2,299,968

Evaluate [4+(15+3)÷9]×7

Answers

Answer:

Evaluate [4+(15+3)÷9]×7 equals 42

Step-by-step explanation:

Express as a trinomial.
(3x + 3)(3x + 8)
PLEASE HELPPP:)

Answers

Answer:

9x^2+33x+24

Step-by-step explanation:

The factors (3x + 3)(3x + 8) can be expressed as a trinomial 9x² + 33x + 24.

What is the expression?

Expressions are defined as mathematical statements that have a minimum of two terms containing variables or numbers.

To express (3x + 3)(3x + 8) as a trinomial, we can use the distributive property and FOIL (First, Outer, Inner, Last) method.

First, we multiply the first term of each binomial (3x) with the first term of the other binomial (3x), which gives us (3x)(3x) = 9x².

Next, we multiply the first term of one binomial (3x) with the second term of the other binomial (8), which gives us (3x)(8) = 24x.

Then we multiply the second term of one binomial (3) with the first term of the other binomial (3x) , which gives us (3)(3x) = 9x

Finally, we multiply the second term of each binomial (3) with the second term of the other binomial (8) , which gives us (3)(8) = 24

Now we add all the products to get the trinomial

9x² + 24x + 9x + 24 = 9x² + 33x + 24

Therefore, (3x + 3)(3x + 8) can be expressed as a trinomial 9x² + 33x + 24.

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who helps me do this

Answers

Answer:

1. True

2. false.

3. true

4. false

5. true

Eddie's recipe for bagels makes 18 bagels per batch. Eddie makes 2/3 batch of bagels. How many bagels does Eddie make

Answers

Answer:

6

Step-by-step explanation:

18/3=6

4276 divided by 16. I need answers

Answers

Answer:

267.25

Step-by-step explanation:

4276/16=267.25

pls I need help understanding​

Answers

Answer:

$206.9

Step-by-step explanation:

Find the area of the figure.

Answers

Answer:

I think its 38 however i could be wrong

Step-by-step explanation:

Self explanatory i just added them

**Put as brainliest if you wish**

Answer:

139yds

Step-by-step explanation:

area of a rectangle is length time width

9(11)=99

area of a triangle is length times width divided by 2

8(10) divided by 2=40

99+40=139

3) If CDEF ≅ MNPQ, then de ≅ _____
A. MN
B. NQ
C. NP
D. PQ

Answers

The answer to this question is C. NP

Answer:

c. NP

Step-by-step explanation:

NP is in the same position as DE (the middle)

The mean life of a television set is 138 months with a variance of 324. If a sample of 83 televisions is randomly selected, what is the probability that the sample mean would be less than 143.4 months

Answers

Answer: 0.9968

Step-by-step explanation:

Let [tex]\overline{X}[/tex] be the sample mean life of television.

Given: [tex]\mu=138,\ \ \ \sigma^2=324\Rightarrow\ \sigma=\sqrt{324}=18,\ \ \ , n=83[/tex]

The probability that the sample mean would be less than 143.4 months will be :

[tex]P(\overline{X}<143.4)=P(\dfrac{\overline{X}-\mu}{\dfrac{\sigma}{\sqrt{n}}}<\dfrac{143.4-138}{\dfrac{18}{\sqrt{83}}})\\\\=P(Z<2.733)=0.9969\ \ \ [\text{By p-value table}][/tex]

hence, the required probability = 0.9968

5. What is the quotient if you divide 9/12 - 1/6​

Answers

would be 7/12?? i’m pretty sure

54 hope it helps 54 that what is gave it to me

Write an equation for the line that is parallel to y = 3/5x - 8 and goes through
the point (-15,-23)

Answers

Answer:

y=3/5x-14

Step-by-step explanation:

parallel lines have the same slope, so m=3/5

y=mx+b

-23=3/5(-15)+b

-23=-9+b

-14=b

y=mx+b

y=3/5x-14

PLEASE ANSWER

What do degrees measure?

A. the incline of an angle

B. the orientation of an angle

C. the type of angle

D. the length of an angle

Answers

Answer:

I woulda said B too...

Step-by-step explanation:

Snow is falling steadily in Syracuse, New York. After 2 hours, 4 inches of snow has fallen.
Write an equation that gives the amount of snow that has fallen after x hours at this rate.

Answers

Answer:

y = 2x

Step-by-step explanation:

y-int = 0

slope = 2

I need help please!!!!

Answers

9. Divide -6 by 2 and then square it. -3^2=9

If the cost of college tuition in 2010 was $6016 and in 2014 was $9139, then the average rate of change in tuition during this time period was $781/year. Do you agree or disagree​

Answers

If the cost of college tuition in 2010 was $6016 and in 2014 was $9139, then the average rate of change in tuition during this time period was $781/year. Do you agree or disagree​?

To find the average rate of change during this time period, you need to divide the amount, in dollars, of the difference between the years and divide it by the number of years the time period was.

In 2010, the cost of the tuition was $6,016. In 2014, the cost of the tuition was $9,139. First, you need to subtract to find the difference in tuition.

[tex]9,139-6,016=3,123[/tex]

The increase in tuition for this time period is $3,123. Now, you need to find the number of years it took to increase by $3,123.

[tex]2010 \rightarrow2014 = 4 \text{ years}[/tex]

That means it took four years to increase by $3,123. Lastly, you need to find the average rate of change. You can find this by dividing the amount of dollars(the tuition increased by) by the number of years it took to increase.

[tex]\frac{\text{amount of dollars}}{\text{number of years}} = \frac{\$3,123}{4} = \$780.75[/tex]

That means the average rate of change during this time period was $780.75. Rounded to the nearest whole number, it would be $781. Therefore, you can agree that the average rate of change during this time was $781/year.

Answer:

I Agree

Step-by-step explanation:

That seems like a fair advantage for people planning to go to college!

Magic lines
Can you put the numbers 2 to 8 in the circles so that every line
adds up to 15? You can use each number only once.

Answers

Answer:

Please see attached image

Step-by-step explanation:

The numbers on the upper row should be:  7   6   2

the number in the central disk should be    5

the bottom row should read  : 8   4   3

The addition on top row: 7 + 6 + 2 = 15

the addition on bottom row:  8 + 4 + 3 = 15

the addition on the central vertical column: 6 + 5 + 4 = 15

diagonal going down:    7 + 5 + 3 = 15

diagonal going up:   8 + 5 + 2 = 15

Manuel has 5/8 of a pizza to share equally with his brother. What fraction of the original pizza will each person receive?

Answers

Answer:

Step-by-step explanation:

⅝ ÷½

=⅝ײ/1

=⁵/4

=1¼

Whenever you divide two fractions you rewrite it switching the division sign for multiplication and writing the reciprocal of the second fraction.

A fraction is written in the form of a numerator and a denominator where the denominator is greater than the numerator.

5/8 of the pizza is equally shared between two people.

The fraction of the original pizza that each person receives is 5/16 of the pizza.

What is a fraction?

A fraction is written in the form of a numerator and a denominator where the denominator is greater than the numerator.

Example: 1/2, 1/3 is a fraction.

We have,

Amount of pizza = 5/8

Equally shared between two people:

= 5/8 ÷ 2

= 5/(8x2)

= 5/16

This means that the fraction of the original pizza that each person receives is  5/16 of the pizza.

Thus,

5/8 of the pizza is equally shared between two people.

The fraction of the original pizza that each person receives is  5/16 of the pizza.

Learn more about fractions here:

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which verb would make this statement an example of personification?

the cell phone


a. shook
b. rang
c. danced
d. lit up​

Answers

the correct answer would be (C)

10 points!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

108cm²

Step-by-step explanation:

3x+x=4x

24÷4x=6

x=6

6×3=18

18×6=108

A circle’s circumference is 600 m. What is the circle’s area?
a
36,000.17 m^2
b
180,067.87 m^2
c
57,275.17 m^2
d
300,000 m^2



Need this answer asap or My Moms going to KILL me

Answers

Answer:

A-36,000.17m^2

Step-by-step explanation:

determina la medida de cada ángulo identificado con las expresiones algebraicas, si se conoce que l y m son líneas paralelas (2x + 27) (3x + 6)​

Answers

Answer:

I don't know what you're saying but the answer is 6x^2+93x+162

Step-by-step explanation:

(a) It takes 37 pounds of seed to completely plant a 6-acre field.
How many acres can be planted per pound of seed?

Can y’all answer both

Answers

Answer:

This answer is 67 because I think its the answer and I'm really just trying to get points on early sorry but you are

I need an answer and a explanation so I can do the rest of them

Answers

Answer:

N=85 nickels

Q=18 quarters

9514 1404 393

Answer:

  equations: q+n = 103; 0.05n +0.25q = 8.75

  solution: q=18; n=85

Step-by-step explanation:

Write one equation for the number of coins:

  q+n=103.

Write another equation for the value of the coins:

  0.05n +0.25q = 8.75.

It is often convenient to substitute for the lower value, here, using n = 103-q. This results in an equation for q with positive coefficients.

  0.05(103 -q) +0.25q = 8.75

  5.15 +0.20q = 8.75

  0.20q = 3.60

  q = 18

  n = 103 -18

  n = 85

Wes has 18 quarters and 85 nickels.

BRAINLIEST WILL BE AWARDED!!!!!!!!!!!!!!!!!

Answers

Answer:

1.     = 5

2.     = -7

3.   = -4

What number is 88%of 300?

Answers

Answer:

29.33

Step-by-step explanation:

88 is what percent of 300 = 29.33.

Answer:

264

Step-by-step explanation:

im not sure but i had this same thing on a quiz and i got it correct

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