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
Please help with this area problem:
Mama L [17]

Answer:

Answer is B hope this helps

Step-by-step explanation:

6 0
3 years ago
What is 30% written as a fraction in simplest form? (Lol I asked the wrong question earlier this is what I meant )
igor_vitrenko [27]

Answer:

3/10

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
What’s 5x8-6+5x7 divided by 4
olga nikolaevna [1]

Answer:

17.25

Step-by-step explanation:

5x8-6+5x7 = 69

69 / 4 = 17.25

3 0
3 years ago
2x<15 solve for x
Nadusha1986 [10]

Answer:

x < 7.5

Step-by-step explanation:

Divide by 2 on both sides to find x

2x/2 < 15/2

x <15/2

x<7.5

4 0
3 years ago
Complete the equation of the line through (-9,7) &amp; (-6,-3)
scZoUnD [109]

Answer:

y=-\frac{10}{3}x-23

Step-by-step explanation:

we have the points

(-9,7) and (-6,-3)

step 1

Find the slope

The formula to calculate the slope between two points is equal to

m=\frac{y2-y1}{x2-x1}

substitute the values

m=\frac{-3-7}{-6+9}

m=-\frac{10}{3}

step 2

Find the equation in point slope form

y-y1=m(x-x1)

we have

m=-\frac{10}{3}

(x1,y1)=(-6,-3)

substitute

y+3=-\frac{10}{3}(x+6)  ---> equation in point slope form

step 3

Find the equation of the line in slope intercept form

y=mx+b

we have

y+3=-\frac{10}{3}(x+6)

Isolate the variable y

Distribute right side

y+3=-\frac{10}{3}x-20

subtract 3 both sides

y=-\frac{10}{3}x-20-3

y=-\frac{10}{3}x-23

7 0
3 years ago
Other questions:
  • Tristan wants to build a square garden in his backyard.If the garden is going to be 64 ft2 how many feet of material will he nee
    14·2 answers
  • 21. Mike deposited $700 in his savings account and it earned $39.90 in simple interest over 3 years. Find the simple
    7·2 answers
  • Write the decimal equivalent for each rational number. Use a bar over any repeating digits. 2/3 , 3/11 and 8 4/9
    7·1 answer
  • How is the quotient of 8,552 and 16 determined using an area model?
    13·1 answer
  • The number of home runs scored by a certain team in one baseball game is a random variable with the distribution x 0 1 2 P(x) 0.
    14·1 answer
  • 90+ POINTS PLEASE HELP Choose one problem below and use trigonometry to solve for a missing angle x of the right triangle
    13·2 answers
  • If the value of 2x3 is 2, then what is the value of x?<br><br> A.1/3<br> B.1/2<br> C.1
    15·1 answer
  • Hi please help me thank you!
    13·1 answer
  • What correction does Petri need to make? BRAINLIEST I WILL CROWN
    10·1 answer
  • Is it A or B or C or D
    7·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!