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
Elanso [62]
3 years ago
15

We want to know what percentage of the population have college degrees. We take a sample of 100 individuals and find that 28 hav

e college degrees. Answer the following, rounding your answers to 2 decimal places. a. What is the sample proportion? b. Find the SE. c. Construct a 95% confidence interval. d. What does this 95% confidence interval tell us about our population proportion p? (One sentence is the perfect length for an answer)
Mathematics
1 answer:
worty [1.4K]3 years ago
3 0

Answer:

a) p = 28/100    p  =  0,28      or     p  =  28%

b) SE = 0,0448

c) CI 95 %  =  ( 0.1921 ; 0.368 )

We can support with 95 % of confidence that the proportion of people with a College degree would be found within these limits

Step-by-step explanation:

a) Sample proportion:  Is the number of positive success divide by sample size

That is from 100 ( individuals) ( sample size ) it was found that 28 had College degree  ( positive success)

Then p = 28/100    p  =  0,28      or     p  =  28%

b) The standard error is

SE =  (√p*q)/n

p = 0,28   then  q =  1  -  0,28     q  =  0,72

SE =   √ (0.28)*(0.72)/100

SE =  √0.002016

SE = 0,0448

c) CI =  95 %     then  significance level is  α =  5 %    α = 0.05  

α/2 =  0.025

From z- table we find z(c)  = 1.96

Then  CI 95 %  =  p₀  ±  z(c) * SE

CI 95 %  =  0.28  ±  1.96*0.0448

CI 95 %  =  ( 0.28 ±  0.088 )

CI 95 %  =  ( 0.1921 ; 0.368 )

d) We can support with 95 % of confidence that the proportion of people with college degree would be found within these limits

You might be interested in
1. The volume of a rectangular shape 5 feet
Inessa05 [86]

is this for the test on schoolobjects?

3 0
2 years ago
Read 2 more answers
S the following statement always, sometimes, or never true?
liubo4ka [24]

The statement <em>“The supplement of an acute angle is an obtuse angle.”</em> is always true because the sum of any two supplementary angles is 180°, so if one of them less than 90° (acute), then the other must be greater than 90° (obtuse)

Step-by-step explanation:

Let us revise some facts about the supplementary angles

  • Supplementary angles are two angles the sum of their measure is 180°
  • The two angles could be right angles or one of them is acute and the other is obtuse
  • The two angles can not be acute angles or obtuse angles

Let us take some examples to explain the facts above

∵ One of two supplementary angles is a right angle

∵ The measure of the right angle is 90°

∵ The sum of the measures of the supplementary angles is 180°

∴ 90 + the measure of the supplement angle = 180

- Subtract 90 from both sides

∴ The measure of the supplement angle = 90°

∴ The supplement of a right angle <u><em>must be</em></u> a right angle

∵ One of two supplementary angles is 70°

∵ Its measure less than 90°

∴ This angle is an acute angle

∵ The sum of the measures of the supplementary angles is 180°

∴ 70 + the measure of the supplement angle = 180

- Subtract 70 from both sides

∴ The measure of the supplement angle = 110°

∵ Its measure greater than 90°

∴ The supplement angle is an obtuse angle

∴ The supplement of an acute angle <u><em>must be</em></u> an obtuse angle

The two supplementary angles can not be acute angles because their sum is less than 180°

The two supplementary angles can not be obtuse angles because their sum is greater than 180°

The statement <em>“The supplement of an acute angle is an obtuse angle.”</em> is always true because the sum of any two supplementary angles is 180°, so if one of them less than 90° (acute), then the other must be greater than 90° (obtuse)

Learn more:

You can learn more about the supplementary angles in brainly.com/question/11175936

#LearnwithBrainly

4 0
3 years ago
Read 2 more answers
Which of the following is a parent function
agasfer [191]

Answer:

the last one


Step-by-step explanation:


7 0
2 years ago
Read 2 more answers
Find the measure of angle BAC. (The figure is not drawn to scale.)
Lyrx [107]

Answer:

hey there long time!(〃゚3゚〃)

Step-by-step explanation:

your answer is B-34

7 0
2 years ago
What unit rate describes 100
Jobisdone [24]
And you know right this girl has how many years of the first type of quantity of correspond to one unit of the second type of quantity
6 0
3 years ago
Other questions:
  • at a concert, 2/5 of the people were men.there were 3 times as many women as children. if there were 45 more men than children h
    10·1 answer
  • What is the equation of the line that passes through the point (-6,-7)(−6,−7) and has a slope of 0?
    8·2 answers
  • What is the volume of the cone? Use π ≈ 3.14.
    8·2 answers
  • Find each product mentally 4×5 1/8 and 7×3.8​
    6·1 answer
  • Find an equation of the plane that passes through the points p, q, and r. ​ p(7, 2, 1), q(6, 3, 0), r(0, 0, 0)
    8·1 answer
  • adam bought granola bars at the store.The expression 6p + 5n gives the number of bars in p boxes of plain granola bars and n box
    10·1 answer
  • A ratio of 14:40 =13;?
    15·1 answer
  • Which answer choice best fits the given word;
    15·1 answer
  • What is the number of solutions to this system?
    8·1 answer
  • Which fraction is equal to 5/10
    6·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!