In a test of a technique of gender selection, the 100 babies born consist of at least 94 girls. Because there is less than 1 chance in a billion of getting at least 94 girls among 100 babies, the results are statistically significant
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It is given that there is less than 1 chance in a billion of getting at least 94 girls among 100 babies so if using gender selection technique if get 100 babies born consist of at least 94 girls, results will be significant.
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Another way:
The proportion of girls with gender technique is
p = 0.5
Hypotheses are:

It is given that p-value of the test is
p-value = 1 / 1000000000 = 0.000000001
Since p-value is very small so results are statistically significant.
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