According to the U.S. Census Bureau, 11% of children in the United States lived with at least one grandparent in 2009 (USA TODAY, June 30, 2011). Suppose that in a recent sample of 1640 children, 225 were found to be living with at least one grandparent. At a 2% significance level, can you conclude that the proportion of all children in the United States who currently live with at least one grandparent is higher than 11%? Use both the p-value and the critical-value approaches.

Round your answers for the observed value of z and the critival value of z to two decimal places, and the p-value to four decimal places.

Answers

Answer 1

Answer:

The decision rule is  

Fail to reject the null hypothesis

The conclusion is  

There is no sufficient evidence to show that  the proportion of all children in the United States who currently live with at least one grandparent is higher than 11%

Step-by-step explanation:

From the question we are told that

   The population proportion is [tex]p = 0.11[/tex]

   The sample size is  n =  1640

   The number found to be living with at least one grandparent is [tex]k = 225[/tex]

   The level of significance is  [tex]\alpha = 0.02[/tex]

   The null hypothesis is [tex]H_o : p = 0.11[/tex]

   The alternative hypothesis is  [tex]H_a : p > 0.11[/tex]

Generally the sample proportion is mathematically represented as

     [tex]\^ p = \frac{ k }{n}[/tex]

=>  [tex]\^ p = \frac{ 225 }{1640 }[/tex]

=>  [tex]\^ p = 0.1372[/tex]

Generally the test statistics is mathematically represented as

     [tex]z= \frac{\^ p - p }{ \sqrt{\frac{p(1- p)}{n} } }[/tex]

=>[tex]z = \frac{ 0.1372 - 0.11 }{ \sqrt{\frac{0.11(1- 0.11)}{1640} } }[/tex]

=>[tex]z = 0.0077[/tex]

From the z table  the area under the normal curve to the left corresponding to  0.0077  is  

    [tex]p-value = P(Z > 0.0077) = 0.4969[/tex]

From the value obtained we see that [tex]p-value > \alpha[/tex] hence

The decision rule is  

Reject the null hypothesis

The conclusion is  

 There is no sufficient evidence to show that  the proportion of all children in the United States who currently live with at least one grandparent is higher than 11%


Related Questions

Raju bought a book for Rs.35.65. He gave Rs.50 to the shopkeeper. How much money did he get back from the shopkeeper?​

Answers

I Hope this helps u out

giving 30 points &’ brainliest to whoever can help w there two questions!!

Answers

Answer:

binomial and not a polynomial

Factor -6 out of 18z - 15

Answers

Answer: -6(-3z+15/6)
Divide both 18z and -15 by -6 and then put -6 outside the parentheses with the quotients on the inside so the -6 can be distributed to create 18z-15

In mathematics, a factor is an integer or algebraic expression which divides another number or expression evenly, giving no remainder, and the further calculation can be defined as follows:

Given:

[tex]\bold{-6\ out \ of (18z - 15)}\\\\[/tex]

To find:

Factor=?

Solution:

[tex]\to \bold{-6\ out \ of (18z - 15)}\\\\\to \bold{-6\times \frac{(18z - 15)}{-6}}\\\\\to \bold{-6\ (-3z + \frac{5}{2})}}\\\\[/tex]

Therefore, the final answer is "[tex]\bold{-6\ (-3z + \frac{5}{2})}}[/tex]".

Learn more:

brainly.com/question/19310237

Which is equivalent to 5+2(3x-4)=12x-11?
C. 9x=17
B. 6x=8
D. 9x=-39​

Answers

5+2(3x-4)=12x-11 is 5+6x -8 = 12x -11, 5-8+11= 12x-6x, “8= 6x” so option B is correct
The answer is letter b

find the value of x
help

Answers

Answer:

6.7

Step-by-step explanation:

This is trigonometry. We will have to find the opposite leg and the hypotenuse is given to us as 10. So we will have to use sin.

Soh in Soh cah toa

                  So  sin(42)=x/10

                        10 times sin(42)=x

                             Evaluate using a calculator=6.69130606 and so on

                                 Rounded to the nearest tenth is 6.7

So the answer is 6.7

What is the slope of the line through
(

5
,

10
)
(−5,−10)left parenthesis, minus, 5, comma, minus, 10, right parenthesis and
(

1
,
5
)
(−1,5)left parenthesis, minus, 1, comma, 5, right parenthesis?


tysm

Answers

Answer: y=15/4x+35/4

Step-by-step explanation:

Write an expression to model the following situation: A submarine was 32 m below sea level. It descended 28 more meters.

What is its new position below sea level?

32 + 28


32 – 28

–32 + 28

–32 – 28

Answers

it would be -32-28 please mark brainliest

I need help solving these!!!!​

Answers

Answer:

4. y = -1/2x + 5

5. y = -1/3x + 3

6. y = 1

Step-by-step explanation:

For #4:

Because these lines are parallel, we know that they will have the same slope.

To get b, or the y-intercept, I just started at the point (4,4) and used the slope to work backwards to the y-axis. This is really not the best way to do it (especially with big numbers) but it works in a pinch. Also, I forgot the better way :/

For #5:

These lines are perpendicular. That means that the slopes are reciprocals of the other and, when multiplied with each other, the answer will be -1.

The reciprocal of 3 is -1/3.

To get the y-intercept, I did the same as above.

For #6:

x = 2 is a vertical line. To make a line perpendicular to it, that is, to make a line that intersects with it at 90°, the answer line will have to be horizontal.

That means that our answer is y = ?

We know that the line passes through a very specific point (2,1), and the line provided in the question already gives us the x value of this point. All we have to do is set y equal to the y value.

So, y = 1.

I hope this helps!

HELP!!! this is due in 5mins...will give brainliest-
The width and length of a rectangle (in feet) are consecutive odd integers. If the length is increased by 9 feet, the area of the resulting rectangle is 80 square feet. What is the area of the original rectangle?

55
35
25

Answers

Answer:

66

Step-by-step explanation:

Answer:

35

Step-by-step explanation:

No explanation bc due in 5 mins

M=3 (-4,-7) PLease include steps!!( I will give brainliest)

Answers

Answer:

65

Step-by-step explanation:

Answer:

65

Step-by-step explanation:

Find the slope of the line.

Answers

The slope of the line should be -3/2

Remember that whole numbers that are next to each other, for example, 2 and 3, or 43, 44, and 45 are called consecutive numbers.

If n is the smallest of three consecutive integers, write an expression for the largest number.

Answers

Answer:

n +2

Step-by-step explanation:

If three numbers are consecutive, the 2nd number would be one more than the 1st number, and the 3rd number would be one more than the 2nd number.

Since the smallest number is n,

2nd consecutive number= n +1

3rd consecutive number

= n +1 +1

= n +2

Thus, the expression for the largest number is n +2.

Let's check!

If the smallest of the three consecutive number is 1, the 3rd consecutive number would be 3.

3rd consecutive number

= n +2

= 1 +2

= 3 (✓)

Thus, the expression is correct.

Suppose 420 randomly selected people are surveyed to determine whether or not they play sports. The sample proportion for successes is determined to be p′=0.393 and the sample proportion for failures is q′=0.607. What is the 95% confidence interval for the proportion of the population who play sports? z0.10 z0.05 z0.025 z0.01 z0.005 1.282 1.645 1.960 2.326 2.576 Use the table of common z-scores above. Round the final answer to three decimal places.

Answers

Answer:

420 funny number

Step-by-step explanation:

What is the equation of this graphed line? Enter your answer in slope-intercept form in the box. please i really need help

Answers

Answer:

y = -9/8x+7

Step-by-step explanation:

First Find The Slope: 7--2/0-8=-9/8

Find Y Intercept=7

Than Write Equation: y=-9/8x+7

Samuel left his house at time zero and drove to the store, which is 10 blocks away, at a speed of 2 blocks per minute. Then he stopped and went into the store for 7 minutes. From there, he drove in the same direction at a speed of block per minute until he got to the bank, which is 2 blocks away from the store. He stopped at the bank for 3 minutesThen he drove home at a speed of blocks every minuteMake a graph of showing the number of blocks away from home that Samuel is minutes after he leaves his house, until he gets back home.

Answers

Answer:

Attachment given answer

Step-by-step explanation:

I gave you the answer but if you have any questions let me know.

what is 2/3 divdided by 1/6

Answers

Answer:

4

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

PLEASE HELP MEEEE!!!!! Marcos had 15 coins in nickels and quarters total amount of those coins is $2.25. How many quarters and dimes he has?

Answers

Answer:

try 15 / 2.25

Step-by-step explanation:

What is J/-12 > 9??​

Answers

Answer:

j > - 108

Step-by-step explanation:

Step 1:

j / - 12 > 9          Equation

Step 2:

j > 9 × - 12         Multiply - 12 on both sides

Answer:

j > - 108

Hope This Helps :)

Answer:

j<−108

Step-by-step explanation:

j

−12

>9

Step 1: Simplify both sides of the inequality.

−1

12

j>9

Step 2: Multiply both sides by 12/(-1).

(

12

−1

)*(

−1

12

j)>(

12

−1

)*(9)

j<−108

Answer:

j<−108

Over a period of 12 hours the temperature dropped 36°F what was the average change in temperature in one hour?

Answers

Answer:

3°F

Step-by-step explanation:

36 divided by 12 is 3

Answer:

3 degrees F

Step-by-step explanation:

36/12 = 3

Simplify
114
11
1
1112
01
114
0 114
0 11 12

Answers

The answer is A. Im not exactly sure how to get there I just plugged it into my calculator.

10 Lakh More Than 93,23,654​

Answers

Answer:

10,323,654

Step-by-step explanation:

plsss help 6th grade math

Answers

Answer:  D

Step-by-step explanation:

If you put -5 and +5 on a number line and count their distance from zero they are both the same distance.

If the area of the rectangle is(xA^3−4x^2−15x+21) and the width is (x-6), what is the length?

Answers

Answer:

hmm, imma have to do the problem

Step-by-step explanation:

shasha worked in the garden for 3 hours and 40 minutes. she started at 8:30am. at what time did she stop?

Answers

Answer:

Sasha stopped working at 12:10 PM

Step-by-step Explanation

8:30 + 3 hours and 40 minutes = 12:10 PM

Mark as brainliest if it's right!

Answer:

12:10 p.m

Step-by-step explanation:

3 hours from 8:30 is 11:30 a.m.

Now we add 30 minutes to 11:30 and you get 12:00

Add the remaining 10 minutes and you get 12:10 p.m

I hope this helped, please mark Brainliest, thank you!

Read the following statement: Line segment MN is congruent to line segment OP.

Which of the following is an equivalent statement?


a
MN overbar is similar to OP overbar

b
MN overbar equals OP overbar

c
MN overbar is congruent to OP overbar

d
MN overbar is an element of OP overbar

Answers

Answer:c

Step-by-step explanation:

Given a function described as equation y = 3x + 4, what is y when x is 1,2, and 3

Answers

Answer:

when x=1 y=7, when x=2 y=10, when x=3 y=13

Step-by-step explanation:

Please help.

Solve the System of Equations by Graphing

y=4

3x+4y=4

Answers

Answer:

graph below

Step-by-step explanation:

Graph in image below

Please answer this correctly without making mistakes

Answers

Answer:

The 2-yard pièce of cotton cloth for $13.26

Step-by-step explanation:

2 yards is 6 feet then it would be $2.21 per foot.

The 17 foot piece would cost $3.29 per foot.

To answer this question, you need to determine which one has a lower price per unit.  In this scenario, you must divide the price of the cloths by their length in feet.

For the 2-yard piece of cotton cloth, first convert the length to feet.  There are three feet in a yard, so the cloth is 6 feet.  Then divide:

13.26/6=2.21

For the 17-foot piece of cotton cloth, simply divide:

55.93/17=3.29

The 2-yard piece of cotton cloth for $13.26 is the better buy because it has a lower unit price.

Hope this helps!!

Select the correct answer.
Identify the end behavior and the zeros of function h.
h(x) = –13 – 9x2 + 41 +96
Based on these key features, which statement is true about the graph representing function h?
A. The graph is negative on the intervals (-00, -8) and (-4, 3).
B. The graph is positive on the intervals (-8, –4) and (3, 0).
C. The graph is positive on the intervals (-0, —8)and (-4, 3).
D. The graph is negative on the intervals (-3, 4) and (8,00).

Answers

Answer: C. The graph is positive on the intervals (-∞,-8) and (-4,3)

Step-by-step explanation: I guessed on my test and got it right. PLATO

If a coconut has tree has 12 coconut on it if 25% of the coconuts fell to the ground how many fell

Answers

Answer:

It would be three coconuts hope this helped

Step-by-step explanation:

Other Questions
How has democracy changed overtime and how did it affect people (everyone) ? Nervous Norman holds 70% of his assets in cash, earning 0%, and 30% of his assets in an insured savings account, earning 2%. The expected return on his portfolio Group of answer choices is 1%. cannot be determined without knowing what the dollar value of his assets is. is 2%. is 0.6% is 0%. Prepara tu mama la comida?No. _- preparo mi papa. Please answer C: 5x+33x5 I only asked this question if anyone needs to ask, so they don't have to. What information can be gathered from a DNA sequence? A gym charges $8.75 for each swimming class and a one-time registration fee of $12.50. A student paid a total of $56.25. How many swim classes did the student take? 89 i need help58 explain mechanical computer ,electromechanical and electronic computer with example Express (31 4)(x + 7) - 1x as a trinomial in standard form. helpppppp meeee!!!!!!! Just look at the picture asap plz What kinds of questions should you ask during a collaborative discussion?questions that encourage debatesquestions on which everyone must agreequestions that clarify other peoples responsesquestions that require a yes or no answer Solve -11h 27 16h for h. 1. Select the Volatile Memory*RAMROMSecondary Memory2. A Malware is a*program that enables the computer to run faster.software in a computer that fights against VIRUS.Harmful software to the computer3. The full form of LAN is*Locally Area NetworkLocal Area NetworkLocal Area Networking4. The smallest Unit of data is called as*BitByteMegabyte5. The permanent memory built in your computer is*MonitorROMRAM6. Which one of the following is a VIRUS*Morris MalwareILOVEYOU MalwareMellisa malware7. Which of the following storage devices are found inside the computer?*Hard disk driveSSS DriveMagnetic Tape8. The full form of ROM is*Read Only MemoryReading Only MemoryRead On Memory9. Choose the Highest Unit of Data from the following.*MegabyteGigabyte fill in the blank pls plzzzzzzzzzzzzzzzzzzzzzzzz helpppppppppp Canada was able to increaseits wheat supply becauseof immigration.TrueFalse A freight train has a mass of 3.8 x 10^7 kg. The locomotive can exert a force of 6.5 x 10^5 N to pull the train. Required:a. How long does it take the train to go from rest to 50 km/hr? b. If there is air resistance of 2.0 x 10^5 N, what is the acceleration of the train, and how long does it take the train to go from rest to 50 km/hr? 3. Define vocabulary words below and use them in sentences. 1. comedy 2. democracy 3. drama 4. fable 5. monarchy 6. myth 7. oligarchy 8. oracle 9. oral tradition 10. Ritual 11. tragedy