Question

in a test of a sex - selection technique, results consisted of 277 female babies and 11 male babies. based on this result, what is the probability of a female being born to a couple using this technique? does it appear that the technique is effective in increasing the likelihood that a baby will be a female?
the probability that a female will be born using this technique is approximately 0.962. (type an integer or decimal rounded to three decimal places as needed.)
does the technique appear effective in improving the likelihood of having a female baby?
yes
no

Explanation:

Step1: Calculate total number of babies

$277 + 11=288$

Step2: Calculate probability of female birth

$\text{Probability}=\frac{\text{Number of female babies}}{\text{Total number of babies}}=\frac{277}{288}\approx 0.962$
Since the probability of having a female baby with this technique is approximately $0.962$, which is much higher than the natural - expected probability of around $0.5$ for a female birth.

Answer:

The probability that a female will be born using this technique is approximately $0.962$.
Yes