## 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?

Question

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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4 months 2022-01-12T01:30:40+00:00 1 Answer 0 views 0

## Answers ( )

1. Answer:

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.