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
amid [387]
3 years ago
6

Insurance companies are interested in knowing the population percent of drivers who always buckle up before riding in a car. Whe

n designing a study to determine this population proportion, what is the minimum number of drivers you would need to survey to be 95% confident that the population proportion is estimated to within 0.05?
If it was later determined that it was important to be more than 95% confident and a new survey was commissioned, how would that affect the minimum number you would need to survey? Why?

a. If the confidence level is increased, then the sample size would need to increase because a higher level of confidence increases the margin of error.
b. If the confidence level is increased, then the sample size would need to decrease because increasing the sample size would create an even larger interval.
c. If the confidence level is increased, then the sample size would need to decrease because we would like the proportion of people who buckle up to be around 50%.
d. If the confidence level is increased, then the sample size would not be affected.
Mathematics
1 answer:
podryga [215]3 years ago
8 0

Answer:

The value  is  n = 384

The correct option is a

Step-by-step explanation:

From the question we are told that

   The margin of error is  E =  0.05

From the question we are told the confidence level is  95% , hence the level of significance is    

      \alpha = (100 - 95 ) \%

=>   \alpha = 0.05

Generally from the normal distribution table the critical value  of   is  

   Z_{\frac{\alpha }{2} } =  1.96

Generally since the sample proportion is not given we will assume it to be

      \^ p = 0.5

Generally the sample size is mathematically represented as  

    n = [\frac{Z_{\frac{\alpha }{2} }}{E} ]^2 * \^ p (1 - \^ p )

=>   n = [\frac{ 1.96 }{0.05} ]^2 *0.5 (1 - 0.5)

=>   n = 384

Generally the margin of error is mathematically represented as  

      E = Z_{\frac{\alpha }{2} } *  \frac{\sigma }{\sqrt{n} }

Generally if the level of confidence increases,  the critical value of  \frac{\alpha }{2}  increase and from the equation for margin of error we see the the critical  value varies directly with the margin of error , hence the margin of error  will increase also  

So  If the confidence level is increased, then the sample size would need to increase because a higher level of confidence increases the margin of error.

You might be interested in
-4 y over 5 equals -20
AlladinOne [14]

y = 25 is the answer.

8 0
3 years ago
9.
Travka [436]

Answer: Right angled triangles and parallelograms; Pythagorean triplets, triangles meet maths; Shadows and right triangles (radius of the Earth). The right ...

Step-by-step explanation:

5 0
3 years ago
Relationships in Figures
chubhunter [2.5K]

Answer:

A. 8.737

Step-by-step explanation:

I calculated it logically

4 0
2 years ago
Can someone help me please?
stich3 [128]

Have you tried asking a teacher for help before this


and did you try to take notes cuse notes are your best friends

6 0
3 years ago
Read 2 more answers
∠A and ∠B are complementary. m∠A=29°. find m∠B.
Georgia [21]

Answer:

55 degrees

Step-by-step explanation:

Add the expressions up and set up an equation.

( 2 x − 29 ) + ( x + 23 ) = 90 Simplify and solve for x.

3 x − 6 = 90 3 x = 96 x = 32 Find angle B.

x + 23 = 32 + 23 = 55

Hope this helps, have a nice day/night! :D

5 0
3 years ago
Read 2 more answers
Other questions:
  • Jeremy plays basketball. He scored a total of 1489 points consisting of 2-point and 3-point baskets. If he made 640 baskets, how
    12·1 answer
  • The figure below shows the ideal pattern of movement of a herd of cattle, with the arrows showing the movement of the handler as
    14·1 answer
  • The parametric equations of a curve are x=e^-t*cost y=e^-t*sint show that dy/dx=tan(t-pi/4)
    10·1 answer
  • Can anyone help me fill this out please :( . <br> I’ll mark you as a brainliest:) .
    7·2 answers
  • 3x + 2z - 4y - 6 + 4z + 7y
    14·1 answer
  • Plz answer this choice question<br> ;)
    6·2 answers
  • True or False? The quotient to this expression is negative 9/10 ÷ (−6/12) (9/10 and 6/12 are fractions.)
    7·1 answer
  • Calculate x you must include the steps in your solution and the definitions and/or conjecture that u use
    15·1 answer
  • Find the Surface Area of the following figure.<br><br> a. 64 <br> b . 32
    14·2 answers
  • Round to the nearest ten thousand.<br><br> 233,316
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!