In 1993 a national vital statistics report indicated that about 2.4 % of all births produced twins. Is the rate of twin births the same among very young mothers? Data from a large city hospital found only 8 sets of twins were born to 554 teenage girls. Test an appropriate hypothesis and state your conclusion. Be sure the appropriate assumptions and conditions are satisfied before you proceed.
a) Are the assumptions and the conditions to perform a
one-proportion z-test met?
-Yes
-No
b) State the null and alternative hypotheses. Choose the correct
answer below.
A.
H0: p= 0.024
HA: p not = 0.024
B.
H0: p= 0.024
HA: p< 0.024
C.
H0: p= 0.024
HA: p> 0.024
D.
The assumptions and conditions are not met, so the test cannot
proceed.
c) Determine the z-test statistic. Select the correct choice
below and, if necessary, fill in the answer box to complete your
choice.
A.
z=__ (Round to two decimal places as needed.)
B.
The assumptions and conditions are not met, so the test cannot
proceed.
d) Find the P-value. Select the correct choice below and, if
necessary, fill in the answer box to complete your choice.
A.
P-value = __ (Round to three decimal places as needed.)
B.
The assumptions and conditions are not met, so the test cannot
proceed.
e) What is your conclusion? Choose the correct answer below.
A.
Fail to reject H0. The proportion of twin births for teenage
mothers is not different from the proportion of twin births for all
mothers.
B.
Reject H0. The proportion of twin births for teenage mothers is
greater than the proportion of twin births for all mothers.
C.
Reject H0. The proportion of twin births for teenage mothers is
different from the proportion of twin births for all mothers.
D.
The assumptions and conditions are not met, so the test cannot
proceed
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