2. Researchers want to find out what percent of the US labor force is female. Of the 10,000 employment records that the US Department of Labor has on file, they take a random sample of 525 workers, and find that 229 are female. We know that 46% of Europe's labor force is female. Does this sample indicate that the percentage of women in the labor force is different in the United States? a. Check the appropriate assumptions and conditions for inference about the proportion. b. State your null and altermative hypotheses. c. Calculate the standard error and draw and label the sampling distribution. d. Calculate a test statistic and P-value. e. Explain what your P-value means in this context. f. If a (alpha) = .05, what do you conclude?

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