n 1997 a national vital statistics report indicated that about 3.7% 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 10 sets of twins were born to 471 teenage girls. Test an appropriate hypothesis and state your conclusion. Be sure the appropriate assumptions and conditions are satisfied before you proceed   Question content area bottom Part 1 Are the assumptions and the conditions to perform a​ one-proportion z-test​ met?     State the null and alternative hypotheses. Choose the correct answer below.     A.H0​:p=0.037 HA​:p<0.037 B.H0​:p=0.037 HA​:p≠0.037 C.H0​:p=0.037 HA​:p>0.037 D.The assumptions and conditions are not​ met, so the test cannot proceed.   Determine the​ z-test statistic. Select the correct choice below​ and, if​ necessary, fill in the answer box to complete your choice.   Find the​ P-value. Select the correct choice below​ and, if​ necessary, fill in the answer box to complete your choice.   What is your​ conclusion? Choose the correct answer below.     A. Reject H0. The proportion of twin births for teenage mothers is greater than the proportion of twin births for all mothers.   B. Fail to reject H0. The proportion of twin births for teenage mothers is not different from 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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In 1997 a national vital statistics report indicated that about 3.7% 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 10 sets of twins were born to 471 teenage girls. Test an appropriate hypothesis and state your conclusion. Be sure the appropriate assumptions and conditions are satisfied before you proceed

 

Question content area bottom

Part 1
Are the assumptions and the conditions to perform a​ one-proportion z-test​ met?
 
 
State the null and alternative hypotheses. Choose the correct answer below.
 
 
A.H0​:p=0.037
HA​:p<0.037
B.H0​:p=0.037
HA​:p≠0.037
C.H0​:p=0.037
HA​:p>0.037
D.The assumptions and conditions are not​ met, so the test cannot proceed.
 
Determine the​ z-test statistic. Select the correct choice below​ and, if​ necessary, fill in the answer box to complete your choice.
 
Find the​ P-value. Select the correct choice below​ and, if​ necessary, fill in the answer box to complete your choice.
 
What is your​ conclusion? Choose the correct answer below.
 
 
A. Reject H0. The proportion of twin births for teenage mothers is greater than the proportion of twin births for all mothers.
 
B. Fail to reject H0. The proportion of twin births for teenage mothers is not different from 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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