Researchers at UCLA were interested in whether working mothers were more likely to suffer workplace injuries than women without children. They studied 1400 working women, and a summary of their findings was reported in the San Luis Obispo Telegram-Tribune (February 28, 1995). The information in the following table is consistent with summary values reported in the article:

The researchers drew the following conclusion: Women with children younger than age 6 are much more likely to be injured on the job than childless women or mothers with older children. Provide a justification for the researchers€™ conclusion. Use the information in the table to calculate estimates of any probabilities that are relevant to your justification.

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Children, No Children but None Children Under 6 Under 6 Total Injured on the 32 68 56 156 Job in 1989 Not Injured on the lob 368 in 1989 232 644 1244 Total 400 300 700 1400