A gender-selection technique is designed to increase the likelihood that a baby
ID: 3338662 • Letter: A
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,
893893
births consisted of
448448
baby girls and
445445
baby boys. In analyzing these results, assume that boys and girls are equally likely.a. Find the probability of getting exactly
448448
girls in
893893
births.b. Find the probability of getting
448448
or more girls in
893893
births. If boys and girls are equally likely, is
448448
girls in
893893
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
448448
girls in
893893
births is
nothing.
(Round to four decimal places as needed.)
b.
The
probability of getting
448448
or more girls in
893893
births is
nothing.
(Round to four decimal places as needed.)
If boys and girls are equally likely, is
448448
girls in
893893
births unusually high?
A.
No, because
448448
girls in
893893
births is not far from what is expected, given the probability of having a girl or a boy.
B.
No, because
448448
girls in
893893
births is far from what is expected, given the probability of having a girl or a boy.
C.
Yes, because
448448
girls in
893893
births is far from what is expected, given the probability of having a girl or a boy.
D.
Yes, because
448448
girls in
893893
births is not 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 (a) is more relevant, because one wants the probability of a result that is exactly equal to the one obtained.
B.
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.
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.
NoNo,
because the probability of having
448448
or more girls in
893893
births
isnbsp unlikely,
and thus,
isnbsp attributable
to random chance.
B.
YesYes,
because the probability of having
448448
or more girls in
893893
births
isnbsp unlikely,
and thus,
isnbsp not nbsp not attributable
to random chance.
C.
NoNo,
because the probability of having
448448
or more girls in
893893
births
isnbsp not nbsp not unlikely,
and thus,
isnbsp attributable
to random chance.
D.
YesYes,
because the probability of having
448448
or more girls in
893893
births
isnbsp not nbsp not unlikely,
and thus,
isnbsp not nbsp not attributable
to random chance.
Explanation / Answer
(a) probability of getting exactly 448448 girls in 893893 = 448448/893893 = 50.17%
(b) probability of getting 448448 or more girls in 893893 births = 50.17%
No birth is almost equal likely it's not unusually high
(c) The results from part (a) and part (b) are equal, so they are equally relevant.
(d) No, because 448448 girls in 893893 births is far from what is expected, given the probability of having a girl or a boy.
Related Questions
drjack9650@gmail.com
Navigate
Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.