The authors of a paper concluded that more boys than girls listen to music at high volumes. This conclusion was based on data from independent random samples of 768 boys and 745 girls from a country, age 12 to 19. Of the boys, 397 reported that they almost always listen to music at a high volume setting. Of the girls, 331 reported listening to music at a high volume setting.

Do the sample data support the authors' conclusion that the proportion of the country's boys who listen to music at high volume is greater than this proportion for the country's girls? Test the relevant hypotheses using a 0.01 significance level. (Use a statistical computer package to calculate the P-value. Use μboys − μgirls. Round your test statistic to two decimal places and your P-value to four decimal places.)

Answers

Answer 1

Answer:

Since the calculated value of z= 2.82  does not lie in the critical region  the null hypothesis is accepted and it is concluded that the sample data support the authors' conclusion that the proportion of the country's boys who listen to music at high volume is greater than this proportion for the country's girls.

The value of p is 0 .00233. The result is significant at p < 0.10.

Step-by-step explanation:

1) Let the null and alternate hypothesis be

H0:  μboys − μgirls > 0

against the claim

Ha: μboys − μgirls ≤ 0

2) The significance level is set at 0.01

3) The critical region is z  ≤  ± 1.28

4) The test statistic

Z= p1-p2/ sqrt [pcqc( 1/n1+ 1/n2)]

Here p1= 397/768= 0.5169  and p2= 331/745=0.4429

pc = 397+331/768+745

pc= 0.4811

qc= 1-pc= 1-0.4811=0.5188

5) Calculations

Z= p1-p2/ sqrt [pcqc( 1/n1+ 1/n2)]

z= 0.5169-0.4429/√ 0.4811*0.5188( 1/768+  1/745)

z= 2.82

6) Conclusion

Since the calculated value of z= 2.82  does not lie in the critical region  the null hypothesis is accepted and it is concluded that the sample data support the authors' conclusion that the proportion of the country's boys who listen to music at high volume is greater than this proportion for the country's girls.

7)

The value of p is 0 .00233. The result is significant at p < 0.10.


Related Questions

Please help me ASAP
Please help

Answers

Answer:

5 X 4

Step-by-step explanation:

If you plot the dots, youll obviously see a rectangle. The height of the rect. is 4, while the length is 5, so the measurements would be 5 x 4.

Hope this helped!!

Tomas drew a rectangle with an area of 6 square centimeters.what is the greatest possible perimeter of this rectangle?Explain please. i want 20 answers please

Answers

The answer is 14. Hope it helps!

Is the solution greater than, less than, or equal to 29?

4(5 + 6) - 15

Answers

Answer:

Step-by-step explanation:

4(5 +6) - 15

4(11) - 15

= 44 - 15

= 25

The solution is equal to 29

Answer:

[tex]4(5 + 6) - 15 \\ = 4 \times 11 - 15 \\ = 44 - 15 \\ = 29 \\ 29 = 29[/tex]

It's Equal to 29

Plz help me this very important

Answers

The answer will be 31 hope it right

what is 1086.3961 rounded to the nearest square foot?

Answers

I believe the answer would be 1086.4

Please give a like if I’m right and tell me in the comments if I’m wrong.
Hope this helped :)

Find the radius of the circle containing 10 degree arc of a circle whose length is 11 Pi meters

Answers

Answer:

i

Step-by-step explanation:

dont know

Which could be the function graphed below? ​

Answers

9514 1404 393

Answer:

  (a)  f(x) = √x -2

Step-by-step explanation:

The square root function has no horizontal shift, so the expression under the radical is simply x with no added terms. There is only one such answer choice, which also shows the necessary translation downward by an added negative constant.

  [tex]f(x)=\sqrt{x}-2[/tex]

Answer:

the answer is A.

Step-by-step explanation:

:))))))

levi was designing a kite. he needs to determine the measure of

Answers

he needs to determine the measure of the kite?

The measure of angle A is 86.

What is a kite?

A kite is a flying object that is tethered to the ground by a string or a cord. It typically has a light framework of bamboo, plastic, or other materials, covered with paper or fabric, and often in the shape of a diamond or triangle.

We have,

From the figure,

We see that,

6x + 4 + ∠A = 180

Now,

∠A = 4x + 26

So,

6x + 4 + 4x + 26 = 180

10x + 30 = 180

10x = 180 - 30

10x = 150

x = 15

Now,

∠A = 4x + 26 = 4 x 15 + 26 = 60 + 26 = 86

Thus,

The measure of angle A is 86.

Learn more about kite here:

https://brainly.com/question/31239785

#SPJ3

The complete question:

Levi was designing a kite. he needs to determine the measure of angle A.

What’s the least common factor of two and six

Answers

Answer:

6

Step-by-step explanation:

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Answer: 6

Explanation: least common multiple

I hope this helped!

<!> Brainliest is appreciated! <!>

- Zack Slocum

*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆**☆*――*☆*――*☆*――*☆

Given f z please help

Answers

Answer:

z = -11, z = -2

Step-by-step explanation:

Given that, ([tex]f(z)=\sqrt{z+27} -z[/tex]) and ([tex]f(z)=7[/tex]), set up an equation that puts the first value of ([tex]f(z)[/tex]) equal to the other given value of the function.

[tex]f(z)=\sqrt{z+27}-z=7[/tex]

Use inverse operations to solve,

[tex]\sqrt{z+27}-z=7\\\\\sqrt{z-27}=7+z\\\\z+27 = (7+z)^2\\\\z + 27 = 49+14z+z^2\\ -(27+z)\\\\0 = z^2+13z+22[/tex]

Factor,

[tex]0=(z+11)(z+2)[/tex]

Solve using the zero product property, the zero product property states that any number times zero equals zero;

[tex]z=-11,z=-2[/tex]

Answer:

Then solve the rest using the quadratic formula

May you solve this for me?

Answers

Answer: 23.94 cm

Step-by-step explanation: I am totally not sure if this is the answer, but think of it this way: Those are 2 semi circles. The formula for the area of a semi circle is A = π * r^2 / 2. For the semi circle with 6 cm, the radius is 3. So we can plug it in the formula. 3.14 * 3^2 / 2, which is 14.13. For the semi circle with 5 cm, the radius is 2.5. Again plug it in and it will be 3.14 * 2.5^2 / 2, which is 9.8125. Then, to get the total area, add the 2 final values together. 9.8125 + 14.13, which is 23.9425. Then it said "round to the nearest hundredth if necessary. We can round to the nearest hundredth, which is 23.94, so that would be the answer. That is just my thought process.

I am not really sure if it's the answer, but take a gander at my thought process and hopefully, you can agree with me.

please help im stuck on this​

Answers

-7 is the slope I think

QUESTION
The first four terms of a quadratic sequence are 8; 11; 16; 23; .-
Write down the next two terms of the quadratic sequence.
J. 2 Calculate the nth of the quadratic sequence.
i: 5.3 Determine the position of the term 2311 in the sequence.
(1)
(4)
(3)
[8]​

Answers

Answer:

b

Step-by-step explanation:

The Robotics Manufacturing Company operates an equipment repair business where emergency jobs arrive randomly at the rate of three jobs per 8-hour day. The company's repair facility is a single-server system operated by a repair technician. The service time varies, with a mean repair time of 2 hours and a standard deviation of 1.5 hours. The company's cost of the repair operation is $28 per hour. In the economic analysis of the waiting line system, Robotics uses $35 per hour cost for customers waiting during the repair process. What are the arrival rate and service rate in jobs per hour

Answers

Answer:

The correct answer is:

[tex]\lambda=0.375 \ jobs \ per \ hour[/tex][tex]\mu=0.5 \ jobs \ per \ hour[/tex]

Step-by-step explanation:

The given values are:

Service time varies,

Repair time = 2 hours

Standard deviation = 1.5 hours

Robotics uses per hour cost,

= $35

Company's cost per hour,

= $28

(a)

Arrival rate = Jobs per hours

then,

                       = [tex]\frac{8 \ hours}{3 \ jobs}[/tex]

                       = [tex]2.666 \ hours \ per \ job[/tex]

The jobs per hour will be:

⇒  [tex]\lambda=\frac{1}{2.666}[/tex]

       [tex]=0.375[/tex]

(b)

Service rate = jobs per hour

then,

                      μ = [tex]\frac{1 \ repair \ job}{2 \ hours}[/tex]

                         = [tex]0.5 \ jobs[/tex]

Lucy drank 6 liters of water after 2 days. How many liters of water did she drink after 6 days?

Answers

Answer:

18 Liters of water

Algebra 2
L.3 Multiply polynomials BGN

Answers

Answer:

x² + 4x

Step-by-step explanation:

Area of the rectangle = length × width

length = x + 4

width = x

Therefore,

Area = x(x + 4)

Area = x*x + x*4

x² + 4x

Johnny buys a desk on sale for $300.00. If the regular price
is $450.00, what is the percent of discount?

Answers

Answer: 33.33%

This MAY be wrong, but when I calculated it, the total discount came out to 149.985, which I think can be rounded up to 150

If the volume of a sphere is 660 mm, what is the radius of the sphere, to the nearest tenth of a millimeter?

Answers

Answer:

Radius= 5.4

Step-by-step explanation:

Formula for Sphere- V= 4/3(pi)• r^3

r=(3 V/4 pi) = (3•660/4•pi)= 5.40114 (5.4)

3 mugs have the same capacity as 2 bottles. The capacity of 10 mugs and
8 bottles is 15.4 l. Find the capacity of a mug.

Answers

Answer:

0.70L

Step-by-step explanation:

3m=2b

convert 8 b to mugs

therefore 8b=12m

12m+10m=22m

15.4/22=0.700l

Need help quick!!! Karl set out to Alaska in his truck the amount of fuel remaining in the trucks tank in liters as a function of distance driven in kilometers is graphed how fast did the truck consume its fuel

Answers

Answer:

I think it's 40 . I'm not sure

Answer:

0.6 liter per kilo

Step-by-step explanation:

Henri has $24,000 invested in stocks and bonds. The amount in stocks is $6,000 more than three times the amount in​ bonds

Answers

Answer:

s + b = $24,000

And,

s = 3b + $6,000

Step-by-step explanation:

Let us assume the stock be s

And, the bonds be b

So according to the question

It is given that

s + b = $24,000

And,

s = 3b + $6,000

The answers are

s + b = $24,000

And,

s = 3b + $6,000

The same would be considered

help, please will give Brainliest

Answers

9514 1404 393

Answer:

  A.  57 7/9 ft³

Step-by-step explanation:

The volume of a rectangular prism (cuboid) is the product of its dimensions.

  V = LWH

  V = (4 1/3 ft)(3 1/3 ft)(4 ft)

If you drop the fractions, this becomes ...

  V = (4 ft)(3 ft)(4 ft) = 48 ft³

You know the fractions add some amount to this, so you know the volume will be somewhat larger than 48 ft³. The only reasonable choice is A: 57 7/9 ft³.

__

If you feel the need to compute the volume exactly, you can do so using improper fractions.

  V = (13/3 ft)(10/3 ft)(4 ft) = 520/9 ft³ = 57 7/9 ft³

Please help me thanks! :)

Answers

Answer:

eyjdnfbhs

Step-by-step explanation:

You randomly pick a nut from a can of mixed nuts 20 times
and record the results: 5 almonds, 6 peanuts, 2 hazelnuts,
3 pecans, and 4 cashews. Find the experimental probability
of the event.
1. Choosing an almond
2. Choosing a peanut
3. Choosing a peanut or cashew
4. Choosing not an almond
6. Choosing a walnut
5. Choosing not a peanut

Answers

Answer:

you have the highest chance of getting peanuts

What is the value of y?

Answers

Answer:

-1

Step-by-step explanation:

In a school of 1200 students, the ratio of
the number of teachers to students is 1 : 15.
After some teachers join the school, the ratio of
the number of teachers to students becomes 3:40.
Find
(i) the initial number of teachers in the school,
(ii) the number of teachers who join the school.​

Answers

No. Of Teachers Initially = 80
No. of Teachers joined = 10

Step-by-step explanation:

i)Initial School population,

given 15 units = 1200

1 unit =

[tex]1200 \div 15 \\ = 80[/tex]

Number of teachers (initial) = 1 unit = 80.

ii)take j = number of teachers joining the school.

New teacher population = 80+j

[tex] \frac{3}{43} (1280 + j) = 80 + j \\ \frac{3840}{43} + \frac{3}{43} j = 80 + j \\ j - \frac{3}{43} j = \frac{3840}{43} - 80 \\ \frac{40}{43} j = \frac{400}{43} \\ 40j = 400 \\ j = 400 \div 40 \\ = 10[/tex]

what does noncollinear

Answers

9514 1404 393

Answer:

  not on the same line

Step-by-step explanation:

Any two distinct points define a line. Additional points may or may not be on that line. If they are on the line, they are collinear with other points on the same line.

Any point not on the line is noncollinear with the points that are on the line.

Describe the graph of y=-x and compare it with the graph of y = x

Answers

Y=-x is a negative slope starting from the left of the graph and going downwards by one. Y=x is a positive slope that goes up from left to right by one.


Find the area of the trapezoid. Round your answer to the nearest hundredth.

Answers

Answer:

42.50 units²

Step-by-step explanation:

Area of the trapezoid = ½(AB + DC)×AD

AB = 6

DC = 11

AD = ?

Use trigonometric function, TOA to find AD:

Tan 45 = Opp/Adj

Opp = AD

Adj = 11 - 6 = 5

Tan 45 = AD/5

5 × tan 45 = AD

AD = 5

✔️Find Area of trapezoid.

Area = ½(AB + DC)×AD

= ½(11 + 6)×5

= 42.50 units²

A carpenter is creating two new templates for his designs. One template will be in the shape of a right triangle, where the longer leg is 4 inches more than six times the shorter leg. The second template will be in the shape of a rectangle, where the width is 5 inches more than the triangle’s shorter leg, and the length is 3 inches. The carpenter needs the areas of the two templates to be the same. Write a system of equations to represent this situation, where y is the area, and x is the length of the shorter leg of the triangle. Which statement describes the number and viability of the system’s solutions?
A. The system has two solutions, but only one is viable because the other results in negative side lengths.
B. The system has only one solution, and it is viable because it results in positive side lengths.
C. The system has only one solution, but it is not viable because it results in negative side lengths
. D. The system has two solutions, and both are viable because they result in positive side lengths.

Answers

Answer:

The system has two solutions, but only one is viable because the other results in negative side lengths.

Step-by-step explanation:

Took the plato test and passed it, I don't know what the purpose of the first answer is, but here is the correct answer.

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