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
Firlakuza [10]
2 years ago
5

A national survey of 2000 adult citizens of a nation found that 24​% dreaded​ Valentine's Day. The margin of error for the surve

y was 8.9 percentage points with 85​% confidence. Explain what this means. Which statement below is the best​ explanation? A. There is 85​% confidence that the proportion of the adult citizens of the nation that dreaded​ Valentine's Day is between 0.151 and 0.329. B. There is 76.1​% to 93.9​% confidence that 24​% of the adult citizens of the nation dreaded​ Valentine's Day. C. In 85​% of samples of adult citizens of the​ nation, the proportion that dreaded​ Valentine's Day is between 0.151 and 0.329. D. There is 85​% confidence that 24​% of the adult citizens of the nation dreaded​ Valentine's Day.
Mathematics
1 answer:
Goryan [66]2 years ago
7 0

Answer:

The correct option is (A).

Step-by-step explanation:

The (1 - <em>α</em>)% confidence interval for the population proportion is:

CI=\hat p \pm MOE

The information provided is:

\hat p = 0.24

MOE = 0.089

The 85% confidence interval for the population proportion of adults who dreaded​ Valentine's Day is:

CI=\hat p \pm MOE

     =0.24\pm 0.089\\=(0.151, 0.329)

So, the 85% confidence interval for the population proportion of adults who dreaded​ Valentine's Day is (0.151, 0.329).

The (1 - <em>α</em>)% confidence interval for population parameter implies that there is a (1 - <em>α</em>) probability that the true value of the parameter is included in the interval.

Or, the (1 - <em>α</em>)% confidence interval for the parameter implies that there is (1 - <em>α</em>)% confidence or certainty that the true parameter value is contained in the interval.

So, the 85%  confidence interval for the population proportion, (0.151, 0.329), implies that there is 85% confidence that the proportion of the adult citizens of the nation that dreaded​ Valentine's Day is between 0.151 and 0.329.

Or there is 0.85 probability that the true proportion of the adult citizens of the nation that dreaded​ Valentine's Day is between 0.151 and 0.329.

Thus, the correct option is (A).

You might be interested in
On a two question true or false quiz what is the probability of guessing both answer answer correctly
algol13
25% chance of guessing each question correctly

50% chance to guess one correctly
6 0
2 years ago
Factor<br> 80x5-70x2 60x?
LuckyWell [14K]

Answer:

200(−91x+2)

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
find the equation of the striaght line passing through (3, 3) which is perpendicular to the line y=-1/2x-4
blagie [28]

Answer:

it like the Same question I asked and I told u to draw a graph then solve

5 0
3 years ago
There are 7 bags. 2 bags are big. The rest are small.How many bags are small?
siniylev [52]
7-2=5
Ans: 5 bags are small.
6 0
3 years ago
6/4=x/18 what is the answer to this question or proportion
kotegsom [21]
The answer is x=27. your welcome. :)
4 0
2 years ago
Read 2 more answers
Other questions:
  • Two square roots of 25 equals
    10·1 answer
  • A number k is increased by 7 is 34.
    5·1 answer
  • Indicate the method you would use to prove the two triangles congruent. If no method applies, enter “none”.
    7·1 answer
  • How do I solve for x since the triangles are similar?
    5·1 answer
  • write the computation in words for an expression that uses all four operations (addition, subtraction, multiplication, and divis
    5·1 answer
  • Solve |x−4|+3=3 Then explain your result that you discovered. How many solutions did you get and why?
    8·1 answer
  • What value is equivalent to (8 + 2)2 + (6 − 4) × 3?
    9·2 answers
  • Please help me with the correct answer
    10·1 answer
  • Is the following a function?
    9·1 answer
  • Match the following three dimensional figures to the appropriate nets below.
    12·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!