Question content area top Part 1 Most pregnancies are full​ term, but some are preterm​ (less than 37​ weeks). Of those that are​ preterm, they are classified as early​ (less than 34​ weeks) and late​ (34 to 36​ weeks). A report examined those outcomes for one​ year, broken down by age of the mother. Is there evidence that the outcomes are not independent of age​ group?   Early Preterm Late Preterm   Under 20 129   276   20 to 29 246   594   30 to 39 168

MATLAB: An Introduction with Applications
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Part 1
Most pregnancies are full​ term, but some are preterm​ (less than 37​ weeks). Of those that are​ preterm, they are classified as early​ (less than 34​ weeks) and late​ (34 to 36​ weeks). A report examined those outcomes for one​ year, broken down by age of the mother. Is there evidence that the outcomes are not independent of age​ group?
 
Early Preterm
Late Preterm
 
Under 20
129
 
276
 
20 to 29
246
 
594
 
30 to 39
168
 
427
 
40 or Over
15
 
45
 
 
 
 

Question content area bottom

Part 1
Choose the correct null and alternative hypotheses below.
 
 
A.
H0​:
The proportions of​ early/late preterm births are the same for all age groups.
HA​:
The proportions of​ early/late preterm births are not the same for all age groups.
 
B.
H0​:
Age group and outcome are not independent.
HA​:
Age group and outcome are independent.
 
C.
H0​:
The proportions of​ early/late preterm births are not the same for all age groups.
HA​:
The proportions of​ early/late preterm births are the same for all age groups.
 
D.
H0​:
Age group and outcome are independent.
HA​:
Age group and outcome are not independent.
Part 2
Compute the
χ2
statistic.
 
χ2=enter your response here
​(Round to three decimal places as​ needed.)
Part 3
Find the​ P-value.
 
​P-value=enter your response here
​(Round to three decimal places as​ needed.)
Part 4
State the conclusion. Choose the correct answer below.
 
 
A.
The​ P-value is greater than or equal to the level of​ significance,
α=0.01.
There is insufficient evidence to reject
H0
and conclude that age group and outcome are not independent.
 
B.
The​ P-value is less than the level of​ significance,
α=0.01.
There is sufficient evidence to reject
H0
and conclude that age group and outcome are independent.
 
C.
The​ P-value is less than the level of​ significance,
α=0.01.
There is insufficient evidence to reject
H0
and conclude the proportions of​ early/late preterm births are not the same for all age groups.
 
D.
The​ P-value is greater than or equal to the level of​ significance,
α=0.01.
There is sufficient evidence to reject
H0
and conclude the proportions of​ early/late preterm births are not the same for all age groups.
 
 
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