Question

The population proportion is 0.80 . What is the probability that a sample proportion will be within 0.05 of the population proportion for each the following sample sizes? Round your answers to 4 decimals

Answer 1

To find the probability that a sample proportion will be within 0.05 of the population proportion, use the standard deviation formula for sample proportions.

Step-by-step explanation:

To find the probability that a sample proportion will be within 0.05 of the population proportion, we can use the standard deviation formula for sample proportions. The standard deviation formula for sample proportions is:

Standard Deviation (σ) = √[p * (1-p) ÷ n]

where:

• p is the population proportion
• n is the sample size

Using this formula, we can calculate the standard deviation for each sample size and then find the probability using the z-score formula.