Are based on a report of a Field poll printed in the Sacramento Bee on July 7, 2000 (Dan Smith, p. A4), with the headline, "Ratings Up for Boxer, Feinstein in New Poll." The results were reported with a graphical display containing the information that "results are based on a statewide survey of 750 adults conducted June 9-18. The sample includes 642 voters considered likely to vote in the Nov. 7 general election. The margin of error is 3.8 percentage points."

Read the headline that accompanied the article, which stated that ratings were "up" for both senators. For the June 2000 poll, 57% approved of Feinstein's performance, compared with 56% and 53%, respectively, for similar polls taken in February 2000 and October 1999.

Presumably, the headline refers to all registered voters in the state, not just those in the samples. Considering the margin of error accompanying each poll, do you agree with the headline? Explain.