Answer:
We are given:
Confidence level = 99%. Therefore, the critical value at 0.01 significance level using the standard normal table is given below:
Margin of error is given in the question as:
Since the previous proportion is not given, therefore, we need to assume
Therefore, the sample size is:
Therefore, 664 sample observations are required.
we have
Equate the expression to zero to find the roots
Group terms that contain the same variable, and move the constant to the opposite side of the equation
Factor the leading coefficient
Complete the square. Remember to balance the equation by adding the same constants to each side.
Rewrite as perfect squares
square roots both sides
the roots are
so
therefore
<u>the answer is the option</u>