Apoll asked adults in a certain country whether immigration was a good thing or a bad thing for the country. out of 10781078 respondents, 659659 said it was a good thing. a. what percentage of those taking the poll said immigration was a good thing? b. check the conditions to determine whether you can apply the clt to find a confidence interval. c. find a 95% confidence interval for the proportion who believe immigration is a good thing.

a. Given : Sample size : n= 1078

The number of adults said it was a good thing= 659

Then , the proportion of success :

b. The conditions to determine whether you can apply the CLT to find a confidence interval are :-

Since the given data satisfies all the above  conditions , so we can apply the CLT to find a confidence interval.

c. Given : Significance level :

Critical value :

The confidence interval for population proportion is given by :-

Hence, a 95% confidence interval for the proportion who believe immigration is a good thing is (0.582, 0.64).

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