You came across some data showing that the proportion of every births in a certain country-A that are male is equals 0.512 (a ratio of about 105 boys to every 100 girls born). However, you know (assume so) that men when exposed to a high dose of radiation are less likely to father a son than the normal probability. During a specific study of male x-ray machine workers that are “overly exposed to radiation” from their job, only 30 of 87 of their children were male.
Is there sufficient body of proof from the data (employing the 0.05 level of significance) that the proportion of children fathered by these men that are “overly exposed to radiation” is lower than that nationwide?
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