According to a report on workforce diversity, about 60% of the employees in high-tech firms in Silicon Valley are white. It is argued that these companies employ fewer women and people who identify as Black and Latinx. According to a study¹in 2011, 20% of employees identify as Asian, 30% identify as women, and combined Black and Latinx employees account for 15% of the workforce. Complete the following about a sample from a certain firm in Silicon Valley.

a.The firm collects gender and ethnicity information on 50 employees, of which 31 identify as male and 19 identify as female.

At the 5% significance level, conduct a hypothesis test to determine if the proportion of female employees at this certain firm is different than 30%. Show or explain your thinking.