Question

A Vermont study published by the American Academy of Pediatrics examined parental influence on teenagers' decisions to smoke. A group of students who had never smoked were questioned about their parents' attitudes toward smoking. These students were questioned again two years later to see if they had started smoking. The researchers found that, among the 284 students (we call group A) who had indicated that their parents disapproved of kids smoking, 54 had become established smokers. Among the 41 students (we call group B) who had initially said their parents were lenient about smoking, 11 had become smokers. What are the proportion of students become smokers in each group? Suppose pB^ and pA^represent the proportion for the group B and A

pB^=9371410=0.6645,pA^=19452815=0.6909

pB^=14104225=0.333,pA^=28154225=0.666

pB^=9374225=0.222,pA^=19454225=0.46

pB^=9372815=0.333,pA^=19452815=0.6909

A Vermont study published by the American Academy of Pediatrics examined parental influence on teenagers' decisions to smoke. A group of students who had never smoked were questioned about their parents' attitudes toward smoking. These students were questioned again two years later to see if they had started smoking. The researchers found that, among the 284 students (we call group A) who had indicated that their parents disapproved of kids smoking, 54 had become established smokers. Among the 41 students (we call group B) who had initially said their parents were lenient about smoking, 11 had become smokers. What test is used to proof if parental attitude influences teenagers decisions about smoking? Suppose pB^ and pA^represent the proportion for the group B and A

z=0.725−0.6910.6821×(1−0.6821)(11945+12815)

t=0.46−0.2220.6821×(1−0.6821)(14225+14225)

t=0.6909−0.66450.6821×(1−0.6821)(11410+12815)

t=0.666−0.3330.6821×(1−0.6821)(14225+14225)

A Vermont study published by the American Academy of Pediatrics examined parental influence on teenagers' decisions to smoke. A group of students who had never smoked were questioned about their parents' attitudes toward smoking. These students were questioned again two years later to see if they had started smoking. The researchers found that, among the 284 students (we call group A) who had indicated that their parents disapproved of kids smoking, 54 had become established smokers. Among the 41 students (we call group B) who had initially said their parents were lenient about smoking, 11 had become smokers.

Construct a 95\% confidence interval for the difference in the proportion of kids who smoke depending on the two different parental attitudes toward smoking. Suppose pB^ and pA^represent the proportion for the group B and A

(pA^−pB^)±t∗pA^qA^nA+pB^qB^nB,   where nA and nB denotes total students in group A and group B

(pA^−pB^)±z∗p^q^nA+p^q^nB,    where nA and nB denotes total students in group A and group B and p^ is pooled proportiong

(pA^−pB^)±z∗pA^qA^nA+pB^qB^nB,   where nA and nB denotes total students in group A and group B

Answer 1

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