A CNBC workforce diversity report suggests that about $60\%$ of the employees in high$-$tech firms in Silicon Valley are white and about $20\%$ are Asian. Women, along with blacks and Latinos, are highly underrepresented. Just about $30\%$ of all employees are women, with African Americans and Latinx accounting for only about $15\%$ of the workforce.

Tara Jones is a recent college graduate working for a large high$-$tech firm in Silicon Valley. She wants to determine if her firm faces the same diversity as in the report. She collects sex and ethnicity information on $50$ employees in her firm. The results are presented below.