Given that:
[tex]P(exactly\text{ }58\text{ }girls)=0.0223[/tex][tex]P(\text{ }58\text{ }or\text{ }more\text{ }girls)=0.067[/tex]
You know that in order for the number of girls to be significantly high, the probability must be:
[tex]P(x)\leq0.05[/tex]
In this case, you can determine that 58 girls in 100 births is a significantly high number, because:
[tex]P(exactly\text{ }58\text{ }girls)=0.0223[/tex]
And:
[tex]0.0223<0.05[/tex]
Notice that the probability for exactly 58 girls is less than 0.05.
Hence, the answer is:
The relevant probability is
[tex]P(exactly\text{ }58\text{ }girls)=0.0223[/tex]
so 58 girls in 100 births is a significantly high number because the relevant probability is less than 0.05.
