Question

Margin of Error. The following summaries of statistical studies give a sample statisticand a margin of error. Find the confidence interval and answer any additional questions.A national survey by the Pew Research Center of 1521 respondents reached on land linesand cell phones found that 46% of adults favored legalized abortion. The margin of errorwas 3 percentage points. Is it reasonable to claim that a majority of Americans opposedlegalized abortion (at the time of the survey)? Explain.

Answer 1

Since 46% of adults favored legalized abortion, and the margin of error was 3%, the value(let's call it as x) resides in the following interval

[tex]\begin{gathered} 46-3Since the maximum value for people that favored legalized abortion represents 49% of our sample, and this value is less than 50%, it is safe to assume that a majority of Americans opposed legalized abortion.