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A scientist wants to study the null hypothesis boy and girl births are equally likely and independent within a family. To this end he samples

A scientist wants to study the null hypothesis "boy and girl births are equally likely and independent within a family". To this end he samples 1000 random two-child families and obtains the following statistics:

2 boys

1 boy and 1 girl

2 grils

222

492

286

Based on this data, can he reject the null hypothesis with 95% confidence?

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