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
solong [7]
3 years ago
15

The manufacturer of the ColorSmart-5000 television set claims 95 percent of its sets last at least five years without needing a

single repair. In order to test this claim, a consumer group randomly selects 420 consumers who have owned a ColorSmart-5000 television set for five years. Of these 420 consumers, 303 say their ColorSmart-5000 television sets did not need a repair, whereas 117 say their ColorSmart-5000 television sets did need at least one repair. (a) Find a 99 percent confidence interval for the proportion of all ColorSmart-5000 television sets that have lasted at least five years without needing a single repair.
Mathematics
1 answer:
Leya [2.2K]3 years ago
7 0

Answer: (0.665 , 0.777)

Step-by-step explanation:

Given : Sample size of consumers: n=420  ;

Number of consumers say their ColorSmart-5000 television sets did not need a repair=303

The the sample proportion for consumers say their ColorSmart-5000 television sets did not need a repair : \hat{p}=\dfrac{303}{420}\approx0.721

Significance level : \alpha:1-0.99=0.01

Critical value = z_{\alpha/2}=\pm2.576

The confidence interval for population proportion is given by :_

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

i.e.  0.721\pm (2.576)\sqrt{\dfrac{0.721(1-0.721)}{420}}

\approx0.721\pm 0.056=(0.721-0.056,0.721+0.056)\\\\=(0.665\ ,\ 0.777)

Hence,  a 99 percent confidence interval for the proportion of all ColorSmart-5000 television sets that have lasted at least five years without needing a single repair = (0.665 , 0.777)

You might be interested in
Instructions: Find the missing side lengths. Leave your answers as radicals in simplest form.
luda_lava [24]

Answer: m=3 radical 2 and n=3

7 0
2 years ago
What is the recriprocal of 8
Dmitriy789 [7]
The reciprocal of 8 is 1/8
5 0
2 years ago
Read 2 more answers
Three muffin pans with six in each pan what is the fraction for this
irakobra [83]

Answer:

1/18 ?

Step-by-step explanation:

I'm not sure if you're written the whole question?

3 pans with 6 muffins in each pan, so total number of muffins = 3 x 6 = 18

So each muffin is 1/18

4 0
2 years ago
Read 2 more answers
Light from the sun can travel a million miles in 5.368 second how many seconds is that rounded to the nearest tenth of a second
weqwewe [10]
5.4 rounded to the nearest tenth of a second
3 0
3 years ago
Read 2 more answers
OPENER: Select all the names for the answers to a polynomial equation
alexira [117]
Roots stems finite solution
6 0
3 years ago
Other questions:
  • The graph shows the relationship between the total cost and the number of gift cards that Raj bought for raffle prizes.
    7·2 answers
  • 127.90 in expanded form
    9·1 answer
  • T x 3/4 for t = 8/9
    8·2 answers
  • Write 21/35 in simplest form
    5·2 answers
  • Graph the inequality: a) 4x&gt;18<br><br> b) x-8&gt;_24
    13·1 answer
  • Alina can blow 48 balloons in 16 minutes. What is the unit rate of blowing per minute?
    8·1 answer
  • 8 pts
    5·1 answer
  • Explain how to solve this
    8·1 answer
  • Look at this graph:
    7·1 answer
  • Someone help please
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!