1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Shtirlitz [24]
2 years ago
12

The authors of a paper concluded that more boys than girls listen to music at high volumes. This conclusion was based on data fr

om 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.)
Mathematics
1 answer:
schepotkina [342]2 years ago
8 0

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.

You might be interested in
2(t+1)=10. <br><br><br><br> need the answer for t I got the rest just can't get t
harkovskaia [24]

Answer: t=4

<u>Simplify both sides of the equation</u>

<u></u>(2)(t)+(2)(1)=10(Distribute)\\2t+2=10<u></u>

<u></u>

<u>Subtract 2 from both sides</u>

<u></u>2t+2-2=10-2\\2t=8<u></u>

<u></u>

<u>Divide both sides by 2</u>

<u></u>\frac{2t}{2} =\frac{8}{2} \\t=4<u></u>

6 0
3 years ago
Read 2 more answers
30 people go for dinner it costs £240.93 how much should each person pay
yKpoI14uk [10]
The answer is 8.031 per person 
5 0
3 years ago
A movie theater seating is arranged with 15 seats in the front row, 14 seats in the middle row, and 26 seats in the back row. Th
Kryger [21]

Answer:

3/11

Step-by-step explanation:

i did this question it 3/11

6 0
2 years ago
The average heart pumps about 80ml of Blood each contraction. if your heart rate was 70 beats per minute, calculate the volume o
Anuta_ua [19.1K]
The heart beat rate is 70beats/minute with 80ml of blood pumped every beat. Then, the <span>volume of blood your heart pumps in one minute would be:

volume of blood per minute= volume per beat * beat per minute
</span>volume of blood per minute= 80ml/beat * 70beat/minute= 560ml/ minute<span>

</span>volume of blood per hour would be: 560ml/minute * 60 minute/hour= 33.600 ml/hour
5 0
3 years ago
mr. smith has a maximum of $50 to spend at a museum. a ticket to the museum costs $7. he can spend p dollars to buy other things
7nadin3 [17]

The inequality that can be used to find the values for p is p + 7 ≤ 50.

Given the information,

Mr. Smith can only spend up to $50 at a museum. The museum admission ticket is $7. He can use his P dollars to purchase other items from the museum.

The total budget is $50.

The cost per ticket is $7

⇒ Total spent ≤  Total Budget

⇒ p + 7 ≤ 50

⇒ p ≤ 43

Therefore, p + 7 ≤ 50 will be the inequality that aids in determining the range of values for p.

To learn more about inequality click here:

brainly.com/question/20383699

#SPJ4

5 0
1 year ago
Other questions:
  • How do i find the radius of a cylinder with only surface area and height
    11·1 answer
  • Jenna opens a savings account with $20 and each week after that she deposits $30. Write an equation that models the amount of mo
    7·1 answer
  • Which inequality can be used to find h, the number of hours they must stay open to make their goal ? ​
    11·1 answer
  • What is the common ratio of the geometric sequence: -1/12, -1/2,-3,-18...?
    8·1 answer
  • -3x+2y=-17<br> -6x+3y=-30
    6·1 answer
  • Which is equivalent to (3/125)*?
    8·2 answers
  • A bag with 6 marbles is shown below. (3 marbles are red, 1 is yellow, and 2 are blue.) A marble is chosen from the bag at random
    13·2 answers
  • Jayden buys a game for $10.67 and some batteries for $5.14 he pays with a twenty dollar bill estimate how much change he should
    10·1 answer
  • Raquel works in a pet store every day after school and sometimes on weekends. She earns $5.20 per hour. If Raquel works 21 hours
    10·2 answers
  • Find m∠D. Put the answer below.<br> m∠D =
    7·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!