One hundred thirtyfive citizens were selected at random and

One hundred thirty-five citizens were selected at random and were asked to state their opinion regarding U.S. foreign policy. Forty-three were opposed to the U.S. foreign policy. After several weeks, during which they received an informative newsletter, they were again asked their opinion; 37 were opposed, and 30 of the 37 were persons who originally were not opposed to the U.S. foreign policy. Is the change in numbers of people opposed to the U.S. foreign policy significant?

Solution

Number of People Opposed Initially = 43

Total Number of People = 135

Number of People opposing the US Policy now = 43 + (30) = 73

30 out of 37 candidates were not opposing earlier but remaining people are already in the 43 opposing list

Hence the number of people opposing = 73

Percentage of people opposing = 73/135 * 100 = 54.07%

Yes, since the number of people opposing is more than 50%, hence the policy will be diluted and the law will not be going to implemented