Question: A larger 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: private household, non-household, and preschool teacher. Here are the data on the number of blacks among women and workers in these three classes:

1. What percent of each class of child care workers is black?
2. Make a two-way table of class of worker by race (black or other)
3. Can you safely use the Chi-Square test? What null and alternative hypotheses does the \({{\chi }^{2}}\) test use?
4. The Chi-Square statistics for this table is \({{\chi }^{2}}=53.194\). What are its degrees of freedom? What is the mean of \({{\chi }^{2}}\) if the null hypothesis is true? Estimate the p-value
5. What do you conclude?

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