A statistical study was performed on teenagers aged 14-19. 69% of the population of 577 teenagers were found to agree with the proposal.
Calculate the 90% confidence interval estimate for the true population proportion, p, given the study.
What is the largest possible sample size needed to estimate the true population proportion, p, within a margin of error of ± 0.02 with a confidence level of 95% if there was no prior knowledge concerning the proportion of respondents who would agree with the study's question?
If the survey in part a had a margin of error of ± 0.04 percentage points, determine the level of confidence that was used in estimating the population proportion if there was no prior knowledge concerning the percentage of teenagers who would respond as they did.