In: Statistics and Probability
A retail branch of a bank is interested in determining whether the proportion of females who transact at the counter is higher than males. The gender of 500 randomly selected customers (Female is 284, male is 216) At a 10% significance level, does the data provide sufficient evidence to conclude that the proportion of females who transact at the counter is higher than males? Then, test whether the proportion of females who perform transactions at the counter is higher than 0.5. Determine the p-value and interpret the result.