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
1
skelet666 [1.2K]

Step-by-step explanation:

f°g=f(g(x))

g(x)=x^2-6x

f(x)=1/x

f(g(x))=\frac{1}{x^2-6x}

if the denominator is zero the number is undefined which makes it not in the domain of the function

set x^2-6x equal to 0

the values for x is 0 or 6

so the only value that is not in the domain of f°g is 0 and 6

Hope that helps :)

6 0
2 years ago
how many outfits of shoes does a female have for school if she has the choice of 2 pairs of shoes, 4 skirts, and 5 tops in her w
frez [133]

Answer:

if you are asking for a math equation then 2+4+5=11  

Step-by-step explanation:

4 0
3 years ago
The measure of an angle is 6°. What is the measure of its complementary angle?
stealth61 [152]

Answer:

84 degrees.

Step-by-step explanation:

First, let's define what a complementary angle is. It's when two angles add up to 90 degrees. So we do 90-6=84 and 84+6 does in fact equal 90, so they are complementary.

5 0
3 years ago
Read 2 more answers
What is 2x 2 5/6 I need help due in 6 min
sleet_krkn [62]

Answer:

5 2/3

Step-by-step explanation:

2 * 2 5/6

2 * (12+5/6)

2 * (17/6)

34/6

17/3 = 5 2/3

4 0
3 years ago
) Solve this equation: − 10 + = 8 + 2 − 18
nikitadnepr [17]

Answer:

I think the question is wrong check ur question and I will answer

4 0
2 years ago
Other questions:
  • a rectangular flying carpet in 1 and 1/2 meters wide and 2 meters long what is the area of the carpet
    9·2 answers
  • Suzanne needs material for her school project. She buys 3 1/4 yards of material at &2.50 a yard. What is the total cost of t
    9·1 answer
  • Antonio purchased adult and child tickets for the fair. Tickets cost $29.35 for each adult and $17.45 for each child. Let x repr
    11·2 answers
  • What is the equivalent radical expression for the exponetial expressiom below? 7 1/2
    10·1 answer
  • Find the measure of side c.<br><br> c=<br><br> (Round the answer to the nearest whole number.)
    9·1 answer
  • 7. Of 101 randomly selected adults
    6·1 answer
  • A pasta recipe calls for 2 tablespoons of water for every 3 eggs. Using this
    13·2 answers
  • Solve for the value of y​
    8·2 answers
  • Factoriza la diferencia de cubos
    9·2 answers
  • The point (3, 5) when reflected across the y-axis maps onto
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!