Mathematics, 04.12.2020 17:00 maddiemalmstrom

Using a random sample of 5613 TV households, Acme Media Statistics found that 25.1 % watched the final episode of "When Will it End question mark" a. Find the margin of error in this percent.

b. Write a statement about the percentage of TV households in the population who tuned into the final episode of "When Will it End question mark"

Answers: 3

Show answers

Answers

Answer from: bellam302

Margin of Error (MOE) is a function of the critical value. We will choose a confidential interval of 95 %.

Solution is:

a) MOE = 0,011

b) We can affirm with 95 % of confidence that the porcentage of TV households in the population watching th final episode of " When ...

would be between 25,1 - 0,011 and 25,1 + 0,011

In our question we got:

Sample size n = 5613

p = 25.1 % ( positive events expressed as porcentage )

q = 1 - p q = 1 - 0,251 q = 0,749

According to the size of the sample, and the fact that

q×n and p×n are both q×n > 10 p×n > 10

We are in condition to apply the approximation of the binomial distribution to normal distribution and use table z scores

CI = 95 % then confidence level α = 5 % α/2 = 0,025 and fom z-table we get the critical value

z(c) = 1,96

Now to find MOE

MOE = z(c)×√(p×q/n) ⇒ MOE = 1,96 × √ ( 0,251×0,749)5613

MOE = 1,96 × 0,005787

MOE = 0,011

Another question on Mathematics

Mathematics, 20.06.2019 18:04

Missy took the act and was told her standard score (z-score) is –1. frank took the sat and was told his standard score (z-score) is –2. which student has a better chance of getting admitted to college based on their test score?

Answers: 1

Answer

Mathematics, 21.06.2019 13:20

Sherina wrote and solved the equation. x-56=230 x-56-56=230-56 x=174 what was sherina’s error? sherina’s work is correct. sherina only needed to subtract 56 from 230. sherina made a subtraction error when subtracting 56 from 230. sherina should have added 56 to both sides of the equation.

Answers: 2

Answer

Mathematics, 21.06.2019 18:00

In what organelle does photosynthesis take place?

Answers: 2

Answer

Mathematics, 21.06.2019 22:30

Sketch the vector field vector f( vector r ) = 8vector r in the xy-plane. select all that apply. the length of each vector is 8. the lengths of the vectors decrease as you move away from the origin. all the vectors point away from the origin. all the vectors point in the same direction. all the vectors point towards the origin. the lengths of the vectors increase as you move away from the origin.

Answers: 2

Answer

You know the right answer?

Using a random sample of 5613 TV households, Acme Media Statistics found that 25.1 % watched the fin...

Questions