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
Yakvenalex [24]
3 years ago
15

Joe heard from a reliable source that only 22% of people actually sleep 8 hours or more per night. You do a survey and find 58 o

ut of 148 sleep for 8 hours or longer. Build a 95% confidence interval. Round to the nearest hundredth.
Mathematics
1 answer:
Juliette [100K]3 years ago
8 0

Answer:

95% Confidence interval:  (31.32%,47.04%)

Step-by-step explanation:

We are given the following in the question:

Sample size, n = 148

Number of people who sleep for 8 hours or longer, x = 58

\hat{p} = \dfrac{x}{n} = \dfrac{58}{148} = 0.3918

95% Confidence interval:

\hat{p}\pm z_{stat}\sqrt{\dfrac{\hat{p}(1-\hat{p})}{n}}

z_{critical}\text{ at}~\alpha_{0.05} = 1.96

Putting the values, we get:

0.3918\pm 1.96(\sqrt{\dfrac{0.3918(1-0.3918)}{148}})\\\\ = 0.3918\pm 0.0786\\\\=(0.3132,0.4704)=(31.32\%,47.04\%)

(31.32%,47.04%)  is the required 95% confidence interval.

You might be interested in
More free points just say thanks!
balu736 [363]

Answer:

Thank you

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
Of the 81 people who answered "yes" to a question, 6 were male. of the 70 people that answered "no" to the question, 6 were male
Stells [14]

there is about a 4% chance that they answer yes and about an 8% chance they are male.

Yes probability- 6/151≈.039 which rounds to .4 or 4%

Male probability- 12/151≈.079 which rounds to .8 or 8%

7 0
3 years ago
Solve the system of equations.<br> ​<br><br> 2x−9y=14<br> x=−6y+7<br> ​
ipn [44]

Step-by-step explanation:

put \: x \: into \: equation \: 1

2( - 6y + 7) - 9y = 14

- 12y + 14 - 9y = 14

- 21y + 14 = 14

- 21y = 14 - 14

- 21y = 0

\frac{ - 21y}{12}  =  \frac{0}{21}

y = 0

put \: y = 0 \: into \: equation \: 2

x = 6y + 7

x = 6(0) + 7

x = 0 + 7

x = 7

3 0
2 years ago
Read 2 more answers
If Jimin is 5'9" and Namjoon is 5'11" what is the difference in height? (You don't have to answer this)
xz_007 [3.2K]
3" is the difference in height.
8 0
3 years ago
Read 2 more answers
Please help don’t understand
sergejj [24]

Answer:

x=35

Step-by-step explanation:

2x+15+2x-10+x=180

combine factors

5x+5=180

-5 from both sides

5x=175

divide 175/5x

x=35

8 0
2 years ago
Other questions:
  • 5 Any organism that has a skeletal system is a A. single-celled organism. B. colonial organism. C. multicellular organism. D. pa
    9·1 answer
  • If a machine requires an output of 5,000 joules of work to put out 4,000joules of work, what is the machines efficieny? (Hint: t
    9·1 answer
  • A point is chosen at random on a line segment of length L. Interpret this statement, and find the probability that the ratio of
    5·1 answer
  • Tom walked to school at a steady pace, met his sister, and they walked home at a steady pace. Select the description for this gr
    8·1 answer
  • i have to comapre numbers in comaprison problems, and im having trouble understanding the process on how to solve. can you guys
    10·1 answer
  • Happy birdday. Ur present is 50 pts u frick
    15·2 answers
  • Using the slope formula above, find the slope of the line between two points.
    14·1 answer
  • According to a weather​ report, there is a ​19% chance it will rain tomorrow. What is the probability that it will not rain​ tom
    12·2 answers
  • Answer part C. I want step by step on this problem.
    9·1 answer
  • Help me with this problem please ​
    11·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!