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

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.

your answer is d 2,500

step-by-step explanation:

question 1 is 8, question 2 is 9, question 3 is 24

step-by-step explanation:

now, the numbers they give you at the top are the key. from there, you just have to plug and chug! let's try 1, 2, and 3!

key: a=3, b=5, c=6

1. a+5

remember, a=3, so we plug that in to get 3+5=8

2. 15-c

c=6, so we plug that in to get 15-6=9

3. 4b

b=6, so we plug it in to get 4*6=24

time to try the rest on your own! if you put the answers below in a comment, i'll check them for you!