For 100 births, P (exactly 56 girls = 0.0390 and P 56 or more girls = 0.136. Is 56 girls in 100 births a significantly high number of girls? Which probability is relevant to answering that question? Consider a number of girls to be significantly high if the appropriate probability is 0.05 or less V so 56 girls in 100 birthsa significantly high number of girls because the relevant probability is The relevant probability is 0.05 IS

Question

Mathematics

Josephine Middleton

16 August, 17:59

For 100 births, P (exactly 56 girls = 0.0390 and P 56 or more girls = 0.136. Is 56 girls in 100 births a significantly high number of girls? Which probability is relevant to answering that question? Consider a number of girls to be significantly high if the appropriate probability is 0.05 or less V so 56 girls in 100 birthsa significantly high number of girls because the relevant probability is The relevant probability is 0.05 IS

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Amaris Salazar · Answer 1

The relevant probability is P (56 or more girls).

56 girls in 100 births is not a significantly high number of girls.

Step-by-step explanation:

To evaluate if 56 girls in 100 births a significantly high number of girls we must look at the cumulative probability of 56 girls or more in 100 births (P (n≥56) = 0.136). The probability of exactly 56 girls is not particularly relevant since it represents only 1 of 100 possible outcomes and thus its likelihood is quite low, the higher the number of outcomes the less significant the probability of a single outcome occurring becomes.

Since the relevant probability is higher than 0.05, (0.136 > 0.05), 56 girls in 100 births is not a significantly high number of girls.