Question

A​ gender-selection technique is designed to increase the likelihood that a baby will be a girl. In the results of the​ gender-selection technique,961 births consisted of 501 baby girls and 460 baby boys. In analyzing these​ results, assume that boys and girls are equally likely.a.

Find the probability of getting exactly 501 girls in 961 births.

b. Find the probability of getting 501 or more girls in 961 births. If boys and girls are equally​ likely, is 501 girls in 961 births unusually​ high?

c. Which probability is relevant for trying to determine whether the technique is​ effective: the result from part​ (a) or the result from part​ (b)?

d. Based on the​ results, does it appear that the​ gender-selection technique is​ effective?

a.The probability of getting exactly 501 girls in 961 births is nothing.

​(Round to four decimal places as​ needed.)

b.The probability of getting 501 or more girls in 961 births is nothing.

​(Round to four decimal places as​ needed.)

If boys and girls are equally​ likely, is 501 girls in 961 births unusually​ high?

A.​No, because 501 girls in 961 births is not far from what is​ expected, given the probability of having a girl or a boy.

B.​No, because 501 girls in 961 births is far from what is​ expected, given the probability of having a girl or a boy.

C.​Yes, because 501 girls in 961 births is not far from what is​ expected, given the probability of having a girl or a boy.

D.​Yes, because 501 girls in 961 births is far from what is​ expected, given the probability of having a girl or a boy.

c. Which probability is relevant for trying to determine whether the technique is​ effective, the result from part​ (a) or the result from part​ (b)?

A.The result from part​ (b) is more​ relevant, because one wants the probability of a result that is at least as extreme as the one obtained.

The result from part​ (a) is more​ relevant, because one wants the probability of a result that is exactly equal to the one obtained.

C.

Neither of the results are relevant.

D.

The results from part​ (a) and part​ (b) are​ equal, so they are equally relevant.

d. Based on the​ results, does it appear that the​ gender-selection technique is​ effective?

A.

Yes​,because the probability of having 501 or more girls in 961 births i ​unlikely,and​ thus,is not attributable to random chance.

B.No​, because the probability of having 501 or more girls in 961 births is not ​unlikely,and​ thus, is attributable to random chance.

C.

Yes​, because the probability of having 501 or more girls in 961 births is not ​unlikely, and​ thus,is not attributable to random chance.

D.

No​,because the probability of having 501 or more girls in 961 births is not ​unlikely,and​ thus,is attributable to random chance.

Answer 1