Question

A poll asked adults in a certain country whether immigration was a good thing or a bad thing for the country. Out of 1,095 ​respondents, 631 said it was a good thing.
c. Find a​ 95% confidence interval for the proportion who believe immigration is a good thing.

Answer 1

A 95% confidence interval for the proportion who believe immigration is a good thing is; CI = (0.4173, 0.7173)

What is the Confidence Interval of Proportions?

The formula for the confidence interval of proportions is;

CI = p ± z√(p(1 - p)/n)

where;

p is sample proportion

z is z-score at confidence level

n is sample size

We are given;

Number of success; x = 631

Sample size; n = 1095

Thus;

sample proportion; p = x/n = 631/1095 = 0.5763

The z-score at 95% confidence level is 1.96. Thus;

CI = 0.5673 ± 1.96√(0.5673(1 - 0.5673)/1095)

CI = 0.5673 ± 0.015

CI = (0.5673 - 0.15), (0.5673 + 0.15)

CI = (0.4173, 0.7173)

Read more about Confidence Interval of Proportions at; brainly.com/question/15712887

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