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
andriy [413]
3 years ago
13

Two polls were conducted about the upcoming election for new governor. The first poll said that 45% of the people asked would vo

te for Mr. Johnson with a margin of error of plus or minus 4.6%. The second poll said that 42% of the people asked would vote for Mr. Johnson with a margin of error of plus or minus 3.6%.
Can the conclusions of both polls be correct?
a. yes, the two corresponding confidence intervals overlap.
b. no, the difference between 45% and 42% is too large.
c. no, the two corresponding confidence intervals do not overlap.
Mathematics
1 answer:
castortr0y [4]3 years ago
6 0

Answer:

A. Yes, the two corresponding confidence intervals overlap.

Step-by-step explanation:

The correct option is - A. Yes, the two corresponding confidence intervals overlap.

Reason -

P(1) = 45% = 0.45

E(1) = 4.6% = 0.046

Confidence Interval = P(1) ± E(1)

                                 = 0.45 ± 0.046

So, the interval is -

0.45 + 0.046 ≤ P ≤ 0.45 - 0.046

⇒0.496 ≤ P ≤ 0.404                       .............(1)

Now,

P(2) = 42% = 0.42

E(2) = 3.6 % = 0.036

Confidence Interval = P(2) ± E(2)

                                 = 0.42 ± 0.036

So, the interval is -

0.42 + 0.036 ≤ P ≤ 0.42 - 0.036

⇒0.456 ≤ P ≤ 0.384                    ...............(2)

From equation (1) and (2), we get

The two corresponding confidence intervals overlap.

You might be interested in
Cherries are 80% water by mass. The freezing point for cherries is 29 degrees F and heat absorbed when liquid changes to solid i
maksim [4K]

Answer:

61

Step-by-step explanation:

8 0
3 years ago
write a real world problem in which you need to find the volume of a right rectangular prism. solve your problem
Afina-wow [57]

Answer:

Find the sum of the series

∑(4x−5)

such that

1≤x≤7

.

answer is 77

Step-by-step explanation:

3 0
3 years ago
Dsfsdfsdfsdfdfsdfwekjlfsdf
Verizon [17]

Answer:

SDFGHJKLJJS HI

Step-by-step explanation:

8 0
2 years ago
The difference between 3 times a number and 21
pashok25 [27]
The difference (-) between 3 times a number (3n) and 21.

3n - 21
7 0
3 years ago
Which number line model represents the expression -5+2.5
sukhopar [10]
B would be the closest answer
6 0
3 years ago
Read 2 more answers
Other questions:
  • WILL GIVE BRAINLIEST<br> plz help me
    6·1 answer
  • Jamal wants to buy a gift for a friend. He opened his piggy bank to find 3 one-dollar bills, 4 five-dollar bills, 7 ten-dollar b
    12·2 answers
  • Help it’s worth 10 points I’m not very good at math
    10·1 answer
  • Solve for x in the diagram below.
    8·2 answers
  • What is the factorization of the polynomial below? -x^2-15x-56
    13·1 answer
  • If i have to do 60 hours in 5 weeks how many mintues do i do a day
    6·2 answers
  • Ground Turkey meat costs 1.29 per pound. how much would 1.08 pounds of turkey meat cost.
    13·1 answer
  • What is the solution to the following equation? 4x - 9 - 35​
    6·1 answer
  • What’s the correct answer for this question?
    5·2 answers
  • Divide: 5/8 ÷ 3/4<br>1/8<br>5/6<br>3/4<br>1 1/2​
    7·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!