Freedom of Religion A Gallup poll asked college students in 2016 and again in 2017 whether they believed the First Amendment guarantee of freedom of religion was secure or threatened in the country today. In 2016, 2089 out of 3072 students surveyed said that freedom of religion was secure or very secure. In 2017, 1929 out of 3014 students felt this way. a. Determine whether the proportion of college students who believe that freedom of religion is secure or very secure in this country has changed from 2016. Use a significance level of 0.05. b. Use the sample data to construct a 95 % confidence interval for the difference in the proportions of college students in 2016 and 2017 who felt freedom of religion was secure or very secure. How does your confidence interval support your hypothesis test conclusion?
Freedom of Religion A Gallup poll asked college students in 2016 and again in 2017 whether they believed the First Amendment guarantee of freedom of religion was secure or threatened in the country today. In 2016, 2089 out of 3072 students surveyed said that freedom of religion was secure or very secure. In 2017, 1929 out of 3014 students felt this way. a. Determine whether the proportion of college students who believe that freedom of religion is secure or very secure in this country has changed from 2016. Use a significance level of 0.05. b. Use the sample data to construct a 95 % confidence interval for the difference in the proportions of college students in 2016 and 2017 who felt freedom of religion was secure or very secure. How does your confidence interval support your hypothesis test conclusion?
Solution Summary: The author determines whether the proportion of college students who believe that freedom of religion is secure or very secure in the country has changed from 2016.
Freedom of Religion A Gallup poll asked college students in 2016 and again in 2017 whether they believed the First Amendment guarantee of freedom of religion was secure or threatened in the country today. In 2016, 2089 out of 3072 students surveyed said that freedom of religion was secure or very secure. In 2017, 1929 out of 3014 students felt this way.
a. Determine whether the proportion of college students who believe that freedom of religion is secure or very secure in this country has changed from 2016. Use a significance level of
0.05.
b. Use the sample data to construct a
95
%
confidence interval for the difference in the proportions of college students in 2016 and 2017 who felt freedom of religion was secure or very secure. How does your confidence interval support your hypothesis test conclusion?
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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