You want to obtain a sample to estimate a population proportion. Based on previous evidence, you believe the population proportion is approximately p ∗ = 22 % . You would like to be 95% confident that your esimate is within 1% of the true population proportion. How large of a sample size is required?

The large of a sample size is required is 6,592

Step-by-step explanation:

In order to calculate large of a sample size is required we would have to calculate the following formula:

large of a sample size is required=(Z∝I2/E)∧2* P(1-P)

According to the given data we have the following:

E= margin of error= 1%=0.01

95% confident that your esimate is within 1% of the true population proportion, therefore, level of significance=∝=1-0.95=0.05

Z value for the 95% confident is 1.960, therefore, Z∝I2=1.960

Therefore, large of a sample size is required=(1.960/0.01)∧2* (0.22)(1-0.22)

large of a sample size is required=6,592

The large of a sample size is required is 6,592

18.75 gallons

step-by-step explanation: