Question: Child care workers. A large study of child care used samples from the data tapes of the Current Population Survey over a period of several years. The result is close to an SRS of child care workers. The Current Population Survey has three classes of child care workers: private household, non - household, and preschool teacher. Here are data on the number of blacks

1. What percent of each class of child care workers is black?
2. Make a two-way able of class of worker by race (black or other).
3. Can we safely use the chi-square test? What null and alternative hypotheses does \(X^{2}\) rest?
4. The chi-square statistic for this table is \(X^{2}=53.194\). What are its degrees of freedom? What is the mean of \(X^{2}\) if the null hypothesis is true? Use Table E to approximate the \(P\) -value of the test.
5. What do you conclude from these data?

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