Question

the venn diagram on the right shows the results of a gfk roper public affairs and media survey of 1967 american adults taken on october 9, 2012. use the venn diagram to determine whether the following statement is true or false. if the statement is false, make the necessary change to produce a true statement. 60% of those surveyed liked cats or dogs. choose the correct answer below. a. the statement is true. b. the statement is false because 60% of those surveyed liked cats or dogs. c. the statement is false because 33% of those surveyed liked cats or dogs. d. the statement is false because 93% of those surveyed liked cats or dogs.

Explanation:

Step1: Calculate percentage of those who liked cats or dogs

Add the percentage of those who like cats only, dogs only and both. $41\%+26\% + 26\%=93\%$.

Step2: Analyze the statement

The statement says 60% of those surveyed liked cats or dogs, but we calculated 93%. So the statement is false.

Answer:

C. The statement is false because 93% of those surveyed liked cats or dogs.