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
Firdavs [7]
2 years ago
5

In a recent survey of 1002 people, 701 said that they voted in a recent presidential election. Voting records show that 61% of e

ligible voters actually did vote. a) Find the 95% confidence interval estimate of the proportion of people who say that they voted.
Mathematics
1 answer:
steposvetlana [31]2 years ago
7 0

Answer:

The 95% confidence interval estimate of the proportion of people who say that they voted

(0.67122 , 0.72798)

Step-by-step explanation:

<u><em>Step(i)</em></u>:-

In a recent survey of 1002 people, 701 said that they voted in a recent presidential election.

Sample proportion

                          p = \frac{x}{n} = \frac{701}{1002} = 0.6996  

<u><em>Step(ii)</em></u>

The 95% confidence interval estimate of the proportion of people who say that they voted

(p^{-} - Z_{0.05} \sqrt{\frac{p(1-p)}{n} } , p^{-} + Z_{0.05} \sqrt{\frac{p(1-p)}{n} } )

(0.6996 - 1.96\sqrt{\frac{0.6996(1-0.6996)}{1002} } , 0.6996 + 1.96 \sqrt{\frac{0.6996(1-0.6996)}{1002} } )

(0.6996 - 1.96 X 0.01448 , 0.6996 + 1.96 X 0.01448)

(0.6996 - 0.02838 , 0.6996 + 0.02838)

(0.67122 , 0.72798)

<u><em>Final answer</em></u>:-

The 95% confidence interval estimate of the proportion of people who say that they voted

(0.67122 , 0.72798)

You might be interested in
What is the value of h(x)=x/2 when x=-2
djverab [1.8K]
H(-2)=(-2)/2
h(-2)=-2
hope this helps!!!
4 0
3 years ago
Read 2 more answers
Express the confidence interval 0.555 less than 0.777 in the form Modifying above p with caret plus or minus Upper E.
Elina [12.6K]

Complete Question

Express the confidence interval 0.555 less than p less than  0.777 in the form Modifying above p with caret plus or minus Upper E.

Answer:

The modified representation is \r p \pm  E  = 0.666 \pm  0.111

Step-by-step explanation:

From the question we are told that

    The  confidence interval interval is  0.555 <  p <  0.777

Now looking at the values that make up  the up confidence interval we see that this is a symmetric  confidence interval(This because the interval covers 95%  of the area under the normal curve which mean that the probability of a value falling outside the interval is 0.05 which is divided into two , the first half on the left -tail and the second half on the right tail  as shown on the figure in the first uploaded image(reference - Yale University ) ) which means

     Now  since the confidence interval is  symmetric , we can obtain the sample proportion as follows

             \r p  =  \frac{0.555 + 0.777}{2}

            \r p  =0.666

Generally the margin of error is mathematically represented as

            E  =  \frac{1}{2}  *  K

Where  K is the length of the confidence interval which iis mathematically represented as

           K  =  0.777 -0.555

         K  = 0.222

Hence  

          ME  =  \frac{1}{2}  *  0.222

           ME  =  0.111

So the confidence interval can now be represented as

        \r p \pm  E  = 0.666 \pm  0.111

     

3 0
3 years ago
I NEED HELP ASAP PLEASE!!!!!
valkas [14]

Answer:

the answer is 83 degrees

Step-by-step explanation:

most angles that connect diagonally are vertically opposite angles. hope it helps have a great day and can i get brainliest

7 0
2 years ago
PLZ HELP! Determine the value of k. Round your answer to the nearest hundredth if necessary.
Anton [14]

Answer:15

Step-by-step explanation

4 0
2 years ago
I need help fast please
Mademuasel [1]
306 cause 2448divided by 8
5 0
2 years ago
Other questions:
  • At the nature center, pond exploring began at 10:40 a.m. and lasted 2 hours and 28 minutes. Then lunch began and lasted 30 minut
    13·2 answers
  • In order to lower his monthly auto insurance bill, Henry has decided to change his existing policy by increasing the deductible
    10·2 answers
  • Idk how to work this out 6h-11-h+4-27h-2
    6·1 answer
  • A bag contains 80 marbles: 40 are red, 20 are blue, and 20 are black. what is the probability of selecting a red or blue marble
    6·1 answer
  • The left and right page numbers of an open book are two consecutive integers whose sum is 519. Find these page numbers.
    5·1 answer
  • Mark knows that his yard is 214 times as long as it is wide. Which equation shows the length, in feet, of the fence that goes al
    6·1 answer
  • Anna has a points card for a movie theater.
    15·2 answers
  • Plz answer I'll give brainliest
    5·1 answer
  • What is the 70th term in the sequence? 4, 8, 12, 16...​
    8·1 answer
  • Work out the value of angle x ​
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!