Question

In a 2010 SurveyUSA poll, 70% of the 119 respondents between the ages of 18 and 34 said that they would vote in the 2010 general election for Prop19, which would change California law to legalize marijuana and allow it to be regulated and taxed. At a 95% confidence level, the sample has an 8% margin of error. Based on this information, indicate which of the following statement(s) is/are false, and explain your reasoning.

a) We are 95% confident that between 62% and 78% of the California voters in this sample support Prop19.

b) We are 95% confident that between 62% and 78% of all California voters between the ages of 18 and 34 support Prop19.

c) If we considered many random samples of 119 California voters between the ages of 18 and 34, and we calculated 95% confidence intervals for each, 95% of them will include the true population proportion of Californians who support Prop19.

d) In order to decrease the margin of error to 4%, we would need to quadruple (multiply by 4) the sample size.

e) Based on the confidence interval, there is sufficient evidence to conclude that a majority of California voters between the ages of 18 and 34 support Prop 19.

Answer 1