Slot machines are a very popular video game at casinos across the US. In a random sample of 400 men, 260 rated slot machines as their favorite game. In a random sample if 500 women, 350 rated slit machines as their favorite game. At the 1% significance level, can it be concluded that there is a statistically significant difference in the proportions of men and women who rate slot machines as their favorite game? Formulate and test the appropriate hypothesis use the critical value approach.