Question

In a recent poll, 600 people were asked if they liked dogs, and 43% said they did. Find the margin of error of this poll, at the 95% confidence level.Give your answer to three decimals

Answer 1

`0.040`

Step-by-step explanation:

Here, we want to find the margin of error of the pool

From the question, we have the following:

n = 600

p = 43% = 43/100 = 0.43

q = 1-p = 1-0.43 = 0.57

At 95% confidence level, z = 1.96

We can calculate the margin of error by using the formula below:

`\begin{gathered} MOE\text{ = }(z\sigma)/(√(n)) \\ \\ \sigma\text{ = SD = }√(pq) \end{gathered}`

Substituting the values, we have it that:

`\begin{gathered} MOE\text{ = }(1.96*√(0.43*0.57))/(√(600)) \\ \\ MOE\text{ = 0.040} \end{gathered}`