Question

How many American adults must be interviewed to estimate the proportion of all American adults who actively try to avoid drinking regular soda or pop within +0.01 with 99% confidence using the large- sample confidence interval? Use 0.5 as the conservative guess for p

Answer 1

To estimate the proportion of all American adults who actively avoid drinking regular soda or pop with a +0.01 margin of error and a 99% confidence level, a minimum of 6657 adults must be interviewed.

Step-by-step explanation:

To estimate the proportion of all American adults who actively try to avoid drinking regular soda or pop with a confidence interval of +0.01 and a 99% confidence level, we can use the formula:

n = (Z^2*p*(1-p))/E^2

Where:

Using the formula, we can calculate the minimum number of American adults to be interviewed as:

n = (2.58^2*0.5*(1-0.5))/(0.01^2) = 6656.02

Therefore, to estimate the proportion with the specified margin of error and confidence level, a minimum of 6657 American adults must be interviewed.