A large clothing manufacturer plans to introduce a new line of sports clothes for women if preliminary market research shows that more than 88% of the population is favorably impressed by the new line. Four hundred women were surveyed; 360 of the women were favorably impressed. The research manager wants to test the hypothesis at the 0.05 significance level.
What is the approximate standard error of the sample?
A) 0.5
B) 0.3
C) 0.8
D) 0.9
E) More information is needed.