Question

After calculating the sample size needed to estimate a population proportion to within 0.04, your statistics professor told you the maximum allowable error must be reduced to just .01. If the original calculation led to a sample size of 800, the sample size will now have to be: a. 800 b. 3200 c. 12,800 d. 6400 e. 1600

Answer 1

To calculate the new sample size needed to estimate a population proportion to within 0.01, use the formula N1 = N0 * (E0 / E1)^2. Plugging in the values, we find that the new sample size will have to be 12,800.

Step-by-step explanation:

To calculate the new sample size, we can use the formula:

N1 = N0 * (E0 / E1)2

Where N1 is the new sample size, N0 is the original sample size, E0 is the original maximum allowable error, and E1 is the new maximum allowable error.

Plugging in the values, we get:

N1 = 800 * (0.04 / 0.01)2 = 12,800

Therefore, the new sample size will have to be 12,800.