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
allochka39001 [22]
3 years ago
9

Fewer young people are driving. In year A, 67.9% of people under 20 years old who were eligible had a driver's license. Twenty y

ears later in year B that percentage had dropped to 47.7%. Suppose these results are based on a random sample of 1,800 people under 20 years old who were eligible to have a driver's license in year A and again in year B.a. At 95% confidence, what is the margin of error and the interval estimate of the number of nineteen year old drivers in year A?b. At 95% confidence, what tis the margin of error and the interval estimate of the number of nineteen year old drivers in year B?c. Is the margin of error the same in parts (a) and (b)?
Mathematics
1 answer:
aleksley [76]3 years ago
3 0

Answer:

                                 Case a                               Case b

margin of error       0.0216                                   0.0231

Interval estimate   (0.7016 , 0.6795)                (0.5031 , 0.4569)

margin of error is not same in both cases.

Step-by-step explanation:

a

At 95% confidence interval the interval estimate of number of 20 year old drivers in year A can be computed as

  p'  ±  z  \sqrt{\frac{p'(1-p')}{n} }

= 0.68 ± 1.96 \sqrt{\frac{0.68(1-0.68)}{1800} }

= 0.7016 , 0.6795

the margin of error can be written as

z  \sqrt{\frac{p'(1-p')}{n} }

= 1.96 \sqrt{\frac{0.68(1-0.68)}{1800} }

= 0.0216

b

At 95% confidence interval the interval estimate of number of 20 year old drivers in year B can be computed as

p'  ±  z  \sqrt{\frac{p'(1-p')}{n} }

= 0.48 ± 1.96 \sqrt{\frac{0.48(1-0.48)}{1800} }

=  0.5031 , 0.4569

the margin of error can be written as

z  \sqrt{\frac{p'(1-p')}{n} }

=  1.96 \sqrt{\frac{0.48(1-0.48)}{1800} }

= 0.0231

c

Sample size is same in case A and B but proportion is different in both cases so margin of error is different in both cases

You might be interested in
Which description best describes the solution to the following system of equations? (4 points)
UNO [17]

Answer:

Step-by-step explanation: was the same same

8 0
3 years ago
Read 2 more answers
At the park, there is a triangular sandbox with base = 12ft and height = 4ft. A drawing of the sandbox is shown above. Brie want
sammy [17]

Your question is not clear, but it looks as though you want to know how Brie can make a similar sandbox with base = 8ft.

Answer:

For Brie to make a similar sandbox, he must use a base = 8ft, and height = (8/3)ft

Step-by-step explanation:

It is possible for Brie to make a similar triangular sandbox with base = 12ft and height = 4ft.

All he must ensure is that the ratio of base to height of the original sandbox is the same ratio of base to height of the one he is trying to make.

The original sandbox is 12:4

Because he wants to use a base = 8ft, the sandbox he is trying to make is 8:x

Where x is the height of the sandbox he is trying to make.

Then for these sandboxes to be similar, the ratio 12:4 = 8:x

=> 12/4 = 8/x

12x = 8 × 4

12x = 32

x = 8/3

The height must be (8/3)ft

3 0
3 years ago
Solve the inequality.
shusha [124]

Answer:

(3/2)x - 2 < 7

(3/2)x < 9

3x < 18

x < 6

answer is b

5 0
3 years ago
If nine times a certain number is subtracted from 7 the result is 52. Find the number.
mezya [45]

Answer:

Let the number to find be x

7 - 9x = 52

-9x = 52-7

- 9x = -45

Divide by - 9

x = 5

The number is 5

Hope this helps.

6 0
3 years ago
Read 2 more answers
A bank exchanges United States currency for British courrency at the rate of 1.60 dollars to the £ .
kompoz [17]

Answer:

Remember that £ has a greater value compared to $ and vice versa.

5 0
3 years ago
Other questions:
  • One number is 4 less than a second number. twice the second number is 16 less than 5 times the first. find the two numbers
    14·1 answer
  • Write a real -world word problem that can be solved using elapsed time. Include the solution.
    5·1 answer
  • The speed of train a is 16 mph slower than the speed of train
    12·1 answer
  • If lines p and q are perpendicular and the slope of line p is 2 what is th slope of line q
    14·1 answer
  • 71+(-43)-13 give me the answer
    6·2 answers
  • Which equation represents the partial sum of the geometric series?
    12·2 answers
  • Given that O is the center of the circle, find the measure of angle c.
    11·1 answer
  • What is the LATERAL surface area of the rectangular pyramid below???
    7·2 answers
  • If bc+ad=b solve for a
    5·2 answers
  • at an assembly 7 out of the first 10 students who entered the gym were carrying the backpack. Based on the information, if 700 s
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!