Sugar-Sweetened Beverages In 2017, the journal Obesity reported on trends in sugar-sweetened beverage (SSB) consumption. A random sample of youths aged 12 to 19 years old were asked to monitor all food and beverages consumed in a 24-hour period. The study was done in 2003 and repeated in 2014. The numbers who consumed a sugary beverage such as soda or fruit juice in a day are shown in the table. (Bleich et al., “Trends in Beverage Consumption among Children and Adults, 2003-2014,” Obesity, vol. 26 [2018]: 432-441. doi:10.1002/oby.22056) a. Calculate and compare the percentages of youths in this age group who consumed an SSB during the recording period. b. Check that the conditions for using a two-population confidence interval hold. c. Find the 95 % confidence interval for the difference in the proportion of youth consuming an SSB in 2003 and 2014. Based on your confidence interval, do you think there has been a change in sugar-sweetened beverage consumption among this age group? Explain.
Sugar-Sweetened Beverages In 2017, the journal Obesity reported on trends in sugar-sweetened beverage (SSB) consumption. A random sample of youths aged 12 to 19 years old were asked to monitor all food and beverages consumed in a 24-hour period. The study was done in 2003 and repeated in 2014. The numbers who consumed a sugary beverage such as soda or fruit juice in a day are shown in the table. (Bleich et al., “Trends in Beverage Consumption among Children and Adults, 2003-2014,” Obesity, vol. 26 [2018]: 432-441. doi:10.1002/oby.22056) a. Calculate and compare the percentages of youths in this age group who consumed an SSB during the recording period. b. Check that the conditions for using a two-population confidence interval hold. c. Find the 95 % confidence interval for the difference in the proportion of youth consuming an SSB in 2003 and 2014. Based on your confidence interval, do you think there has been a change in sugar-sweetened beverage consumption among this age group? Explain.
Solution Summary: The author compares the required percentages of youth who consumed SSB in 2003 and 2014.
Sugar-Sweetened Beverages In 2017, the journal Obesity reported on trends in sugar-sweetened beverage (SSB) consumption. A random sample of youths aged 12 to 19 years old were asked to monitor all food and beverages consumed in a 24-hour period. The study was done in 2003 and repeated in 2014. The numbers who consumed a sugary beverage such as soda or fruit juice in a day are shown in the table. (Bleich et al., “Trends in Beverage Consumption among Children and Adults, 2003-2014,” Obesity, vol. 26 [2018]: 432-441. doi:10.1002/oby.22056)
a. Calculate and compare the percentages of youths in this age group who consumed an SSB during the recording period.
b. Check that the conditions for using a two-population confidence interval hold.
c. Find the
95
%
confidence interval for the difference in the proportion of youth consuming an SSB in 2003 and 2014. Based on your confidence interval, do you think there has been a change in sugar-sweetened beverage consumption among this age group? Explain.
During busy political seasons, many opinion polls are conducted. In apresidential race, how do you think the participants in polls are generally selected?Discuss any issues regarding simple random, stratified, systematic, cluster, andconvenience sampling in these polls. What about other types of polls, besides political?
Please could you explain why 0.5 was added to each upper limpit of the intervals.Thanks
28. (a) Under what conditions do we say that two random variables X and Y are
independent?
(b) Demonstrate that if X and Y are independent, then it follows that E(XY) =
E(X)E(Y);
(e) Show by a counter example that the converse of (ii) is not necessarily true.
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