Question

For 100​ births, P(exactly 5555 ​girls)=0.0485 and ​P(5555 or more ​girls)=0.184. Is 5555 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.

Answer 1

`P(X \geq 55) = 0.184 \geq 0.05`, so 55 girls in 100 births is not a significantly high number of​ girls

The appropriate probability to determine if a value x is significantly high is the probability of being equal or higher than x. It this probability is 0.05 or less, x is significantly high.

Explanation:

A number x is said to be significantly high if:

`P(X \geq x) \leq 0.05`

The appropriate probability to determine if a value x is significantly high is the probability of being equal or higher than x. It this probability is 0.05 or less, x is significantly high.

Is 55 girls in 100 births a significantly high number of​ girls?

We have that:

`P(X \geq 55) = 0.184 \geq 0.05`, so 55 girls in 100 births is not a significantly high number of​ girls