Step 1 Recall that for a 95% confidence level, the formula for the sample size n required to estimate a population proportion p with a margin of error M. 2. 1.96 n = p(1 – p) M. We are asked to...

Extracted text: Step 1 Recall that for a 95% confidence level, the formula for the sample size n required to estimate a population proportion p with a margin of error M. 2. 1.96 n = p(1 – p) M. We are asked to suppose we wanted to conduct a survey to estimate the proportion of Americans who would like to have an Internet connection in their car. We want to determine how large a random sample would be required to estimate this proportion with a margin of error of 0.05. Therefore, M = 0.05 0.05 Step 2 The true value of the population proportion p is unknown. To use the formula for sample size, we must have an estimate of p. We are given that a preliminary survey of adult Americans suggests that p is around 0.30, so we can use that value as an estimate of p. Therefore, p = 0.30 Step 3 We have determined that M = 0.05 and p = 0.30. Substitute these values into the formnula to determine the required sample size. Round the result up to the nearest integer. 21 1.96 - P(1 – p)( - p(1 - 1.96 0.30(1 – 0.30) 2.