H0 There is no association between the ratings of movies all

H₀: There is no association between the ratings of movies allowed by parents and smoking habits of their children; H_a: There is an association between the ratings of movies allowed by parents and smoking habits of their children.

H₀: There is an association between the ratings of movies allowed by parents and smoking habits of their children; H_a: There is no association between the ratings of movies allowed by parents and smoking habits of their children.

(c) What is the p-value of the chi-square test? Use 3 decimal places.

(f) What is the difference in the proportions of children who do not smoke in the \"no R rated\" and \"anything\" cells? Use 3 decimal places.


(g) What is the relative risk between the proportions of children who do not smoke in the \"no R rated\" and \"anything\" groups? Use 3 decimal places.


(h) Which of the following is the correct interpretation of the relative risk you calculated in (g)?

Those children whose parents do not allow them to watch R rated movies are 1.128 times as likely to smoke as children whose parents allow them to watch anything.

Those children whose parents allow them to watch anything are 1.128 times as likely to smoke as children whose parents do not allow them to watch R rated movies.    

Those children whose parents do not allow them to watch R rated movies are 1.128 times as likely not to smoke as children whose parents allow them to watch anything.

Those children whose parents allow them to watch anything are 1.128 times as likely not to smoke as children whose parents do not allow them to watch R rated movies.

Solution

(a) What are the hypotheses?

H₀: There is no association between the ratings of movies allowed by parents and smoking habits of their children; H_a: There is an association between the ratings of movies allowed by parents and smoking habits of their children.

H₀: There is an association between the ratings of movies allowed by parents and smoking habits of their children; H_a: There is no association between the ratings of movies allowed by parents and smoking habits of their children.

(c) What is the p-value of the chi-square test? Use 3 decimal places. P=0.000
  

(f) What is the difference in the proportions of children who do not smoke in the \"no R rated\" and \"anything\" cells? Use 3 decimal places.
p=698/750 – 4125/5000

= 0.1057

(g) What is the relative risk between the proportions of children who do not smoke in the \"no R rated\" and \"anything\" groups? Use 3 decimal places.=RR =1.128


(h) Which of the following is the correct interpretation of the relative risk you calculated in (g)?

Those children whose parents do not allow them to watch R rated movies are 1.128 times as likely to smoke as children whose parents allow them to watch anything.

Those children whose parents allow them to watch anything are 1.128 times as likely to smoke as children whose parents do not allow them to watch R rated movies.    

Those children whose parents do not allow them to watch R rated movies are 1.128 times as likely not to smoke as children whose parents allow them to watch anything.

Those children whose parents allow them to watch anything are 1.128 times as likely not to smoke as children whose parents do not allow them to watch R rated movies.