Provide an Appropriate Response

Provide an appropriate response.
-This exercise gives a headline and a brief description of the statistical news story that accompanied the headline. Tell Whether the headline accurately represents the story.
Headline: "Looks more important than intelligence" Story Summary: A survey found that 78% of 400 people interviewed by phone ranked looks in a mate as Important or very important, while 71% ranked intelligence in a mate as important or very important.

A) The story does not include the margin of error. However, with a sample size of 400, the margin of error is around 2 percentage points, so the likely range for looks in a mate is 76% to 80% and the likely range for Intelligence in a mate is 69% to 73%. Because these ranges do not overlap, it is quite possible that the Headline is correct.
B) The story does not include the margin of error. With a sample size of 400, the margin of error is around 5 percentage points, so the likely range for looks in a mate is 73% to 83% and the likely range for intelligence In a mate is 66% to 76%. Because these ranges overlap, it is quite possible that the headline is incorrect.