According to a report on workforce diversity, about 60% of the employees in high-tech firms in Silicon Valley are white and about 20% are Asian (www.money.cnn.com, November 9, 2011). Women, along with blacks and Latinos, are highly underrepresented. Just about 30% of all employees are women, with blacks and Latinos 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 gender and ethnicity information on 50 employees in her firm as shown in the accompanying Excel file.

GenderEthnicityGenderEthnicityFemaleWhiteMaleWhiteMaleWhiteFemaleNonwhiteMaleNonwhiteMaleWhiteMaleWhiteMaleWhiteMaleNonwhiteFemaleWhiteFemaleWhiteMaleWhiteMaleWhiteFemaleWhiteMaleWhiteMaleWhiteFemaleWhiteMaleNonwhiteMaleWhiteMaleNonwhiteFemaleWhiteFemaleWhiteMaleNonwhiteMaleNonwhiteMaleNonwhiteFemaleNonwhiteMaleNonwhiteFemaleNonwhiteFemaleNonwhiteMaleWhiteMaleWhiteMaleNonwhiteFemaleWhiteMaleWhiteFemaleNonwhiteFemaleWhiteMaleWhiteMaleWhiteFemaleWhiteFemaleNonwhiteFemaleWhiteMaleWhiteMaleNonwhiteFemaleNonwhiteMaleWhiteMaleWhiteMaleWhiteMaleWhiteFemaleWhiteMaleNonwhite

Click here for the Excel Data File

a-1.At the 5% level of significance, determine if the proportion of women in Tara's firm is different from 0.30. First, specify the competing hypotheses to test this belief.

multiple choice 1

• H₀:p= 0.30;H_A:p 0.30
• H₀:p 0.30;H_A:p< 0.30
• H₀:p 0.30;H_A:p> 0.30

a-2.Calculate the value of the test statistic.(Round your final answer to 3decimal places.)

a-3.Find thep-value.(Round your final answer to 4decimal places.)

a-4.Interpret your results.

b-1.At the 5% level of significance, determine if the proportion of whites in Tara's firm is more than 0.50. First, specify the competing hypotheses to test this belief.

multiple choice 2

• H₀:p= 0.50;H_A:p 0.50
• H₀:p 0.50;H_A:p< 0.50
• H₀:p 0.50;H_A:p> 0.50

b-2.Calculate the value of the test statistic.(Round your final answer to 2decimal places.)

b-3.Find thep-value.(Round your final answer to 4decimal places.)

b-4.Interpret your results.