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
Murljashka [212]
3 years ago
7

A survey of 85 families showed that 36 owned at least one DVD player. Find the 99% confidence interval estimate of the true prop

ortion of families who own at least one DVD player. Place your limits, rounded to 3 decimal places, in the blanks. Place the lower limit in the first blank and the upper limit in the second blank
Mathematics
1 answer:
attashe74 [19]3 years ago
8 0

Answer:

0.424 - 2.58\sqrt{\frac{0.424(1-0.424)}{85}}=0.286

0.424 + 2.58\sqrt{\frac{0.424(1-0.424)}{85}}=0.562

The 99% confidence interval would be given by (0.286;0.562)

Step-by-step explanation:

Information given:

X= 36 represent the families owned at least one DVD player

n= 85 represent the total number of families

\hat p=\frac{36}{85}= 0.424 represent the estimated proportion of families owned at least one DVD player

In order to find the critical value we need to take in count that we are finding the interval for a proportion, so on this case we need to use the z distribution. Since our interval is at 99% of confidence, our significance level would be given by \alpha=1-0.99=0.01 and \alpha/2 =0.05. And the critical value would be given by:

z_{\alpha/2}=-2.58, z_{1-\alpha/2}=2.58

The confidence interval for the mean is given by the following formula:  

\hat p \pm z_{\alpha/2}\sqrt{\frac{\hat p (1-\hat p)}{n}}

If we replace the values obtained we got:

0.424 - 2.58\sqrt{\frac{0.424(1-0.424)}{85}}=0.286

0.424 + 2.58\sqrt{\frac{0.424(1-0.424)}{85}}=0.562

The 99% confidence interval would be given by (0.286;0.562)

You might be interested in
There are 90 people in the lunchroom. If there are 9 times as many students as teachers, how many students are in the lunchroom?
uranmaximum [27]

Answer:

there are 80 students

Step-by-step explanation:

you divide 9 by 90 to find how many teachers there are, then subtract it by 90

5 0
3 years ago
Which correlation coefficient indicates the stronger linear relationship between random variables for a fixed sample size?
Lyrx [107]
I think it b r=.5 nnnnn
8 0
3 years ago
Write the following as a mixed number. ( use the / symbol in your answer).<br> 3.7777777...
Arlecino [84]

Answer: 3/7

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
How do you do this ? Need some help ASAP!
Ivan

Answer:

On what

Step-by-step explanation:

6 0
2 years ago
Need your help, Answer ASAP PLZZ!!!
ss7ja [257]

Answer: m∠IJH = m∠JHL because they are Alternate Interior Angles

Step-by-step explanation:

6 0
3 years ago
Other questions:
  • Hannah has only nickels and dimes in her wallet she has a total of $2.50 and a total of 30 coins how many nickels does she have?
    7·1 answer
  • A number p minus 19 algebraic expression
    11·2 answers
  • An accountant makes 57,000 per year. what is the monthly salary
    5·1 answer
  • What is the center of the hyperbola?<br> (1,-2)<br> (1,1) (1,3)<br> (1,6)
    9·2 answers
  • The school store opened on the first day of school with 35 notebooks and 15 pencils. Within 2 days it sold all of those items. O
    10·2 answers
  • What is the additive inverse of -3.2?
    13·1 answer
  • At an airport it cost $7 to park for up to one hour and $5 per hour for each additional hour. Let x represent the number of hour
    6·1 answer
  • NEED HELP<br> Solve using elimination.<br> –8x − 4y = –20<br> 8x + 5y = 13
    13·1 answer
  • Please help with test offering big points pt 4
    13·1 answer
  • PLEASE HELP!! 8th grade
    9·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!