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According to a 2018 report by CNBC on workforce diversity, about 60% of the employees in high-tech firms in Silicon Valley are white and about

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According to a 2018 report by CNBC on workforce diversity, 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. A portion of the data is shown in the accompanying table. (You may find it useful to reference the z table.) Sex Ethnicity Woman Nonwhite Woman Nonwhite Man White 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 0.50. First, specify the competing hypotheses to test this belief. O Ho: p = 0.50; HA: P * 0.50 OHo: p 2 0.50; HA: P 0.50 a-2. Calculate the value of the test statistic. (Round final answer to 2 decimal places.) Test statistic 1.41 a-3. Find the p-value. O 0.05 s p-value 0.30 b-2. Calculate the value of the test statistic. (Round final answer to 2 decimal places.) Test statistic 0.58 b-3. Find the p-value. O p-value 2 0.10 O p-value

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