A certain researcher thinks that the proportion of women favoring stricter gun control is higher than the proportion of men favoring stricter gun control.
In a sample of 360 women, 65% favored stricter gun control laws.
In a random sample of 220 men, 60% favored stricter gun control laws.
At the 0.05 significance level, is there sufficient evidence to support the claim that the proportion of women favoring stricter gun control is higher than the proportion of men favoring stricter gun control? Show all work and justify your answer.