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
OLEGan [10]
2 years ago
13

Are you getting enough sleep? Many kids aren’t getting enough sleep, and TV might be part of the problem. Among 2002 randomly se

lected 8- to 18-year-olds in the United States, 71% had a TV in their bedroom. What is the lower boundary of our confidence interval at the 99% level?
a. 6547
b. 6714
c. 6677
d. 6839
Mathematics
1 answer:
Naya [18.7K]2 years ago
4 0

Using the z-distribution, it is found that the lower bound of the 99% confidence interval is given by:

d. 68.39%.

<h3>What is a confidence interval of proportions?</h3>

A confidence interval of proportions is given by:

\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}

In which:

  • \pi is the sample proportion.
  • z is the critical value.
  • n is the sample size.

In this problem, we have a 99% confidence level, hence\alpha = 0.99, z is the value of Z that has a p-value of \frac{1+0.99}{2} = 0.995, so the critical value is z = 2.575.

The sample size and estimate are given by:

n = 2002, \pi = 0.71

Hence, the lower bound is given by:

\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.71 - 2.575\sqrt{\frac{0.71(0.29)}{2002}} = 0.6839

Hence the lower bound is of 68.39%, which means that option D is correct.

More can be learned about the z-distribution at brainly.com/question/25890103

#SPJ1

You might be interested in
Emilie is training for her next track meet. She is running on
Shkiper50 [21]

Answer:

32 laps

Step-by-step explanation:

If each mile is 1600 meters, she will need to run 4 laps per mile. To run 8 miles, multiple the laps for one mile (4) by the total number of miles (8) to get the total laps necessary (32).

Hope this helps!

4 0
3 years ago
Please helppp 3/4+(1/3÷1/6)-(-1/2)=​
geniusboy [140]

Answer:

your answer should be 3 1/4

Step-by-step explanation:

6 0
2 years ago
Rewrite in mathematical language. Every negative integer J is less than or equal to its inverse.
Luda [366]

Answer:

-J \leq J

Step-by-step explanation:

Given

Negative integer J

Required

Represent as an inequality of its inverse

The question didn't state if it's additive inverse or multiplicative inverse;

<em>Since the question has to do with negation, I'll assume it's an additive inverse</em>

<em></em>

The inverse of -J is +J

To represent as an inequality (less than or equal), we have:

-J \leq +J

Solving further, it gives

-J \leq J

3 0
3 years ago
Please help me <br> Look at the image
Leto [7]

Answer:

74 degrees

Step-by-step explanation:

As sum of interior and exterior at a vertex add to 180, subtract 106 from 180 to get 74 degrees

3 0
2 years ago
450 is 75% of what number
Sergeu [11.5K]
•<span>75% = 0.75
•</span><span>450 ÷ 0.75 = 600
•</span><span>450 is 75% 0f 600
There are the steps that I used to get that </span><span>450 is 75% 0f 600</span>
3 0
3 years ago
Read 2 more answers
Other questions:
  • Solution set for 5x + 38<br><img src="https://tex.z-dn.net/?f=%20%5Cleqslant%20" id="TexFormula1" title=" \leqslant " alt=" \leq
    9·2 answers
  • A circular backyard pool has a diameter of 20 feet and is 5 feet deep. One cubic foot of water has a capacity of approximately 7
    6·1 answer
  • Two sides of the triangle are 5 and 7. Which of the following could be the length of the third side?
    7·1 answer
  • What is 1 1/4 + 2/3 it didn’t show me the answer that I was looking for I’m adding there were showing me to multiple.
    14·2 answers
  • What is the answer for this equation "10=z/2+7"
    12·2 answers
  • 2. An investment company pays 9% compounded semiannually. You want to have $8,000 in the future. How much should you deposit now
    13·1 answer
  • The corner candy store had 6 boxes with 30 packages of gum in each in 3 days they had 46 packages left write an equation that th
    10·1 answer
  • Divide the following fractions<br><br> 3/4 ÷ 2/3<br><br> 1/2<br> 8/9<br> 9/8<br> 2
    6·2 answers
  • What is the volume of a sphere that has a radius of 18ft​
    9·1 answer
  • Solve the following equation in terms of x.<br><br> 20x - 3y = z
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!