A random sample of 1,175 people in a certain country were asked whether they thought climate change was a problem. The sample pr

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A random sample of 1,175 people in a certain country were asked whether they thought climate change was a problem. The sample pr

oportion of those who think climate change is a problem was calculated, and a 95 percent confidence interval was constructed as (0.146, 0.214). Which of the following is a correct interpretation of the interval?
a. We are 95 percent confident that any sample of 1,175 people will produce a sample proportion between 0.146 and 0.214. b. We are 95 percent confident that the proportion of all people in the country who think climate change is a problem is between 0.146 and 0.214.
c. We are 95 percent confident that the proportion of people in the sample who think climate change is a problem is between 0.146 and 0.214.
d. The probability that 95 percent of all people in the country who think climate change is a problem is between 0.146 and 0.214.
e. The probability is 0.95 that the proportion of all people in the country who think climate change is a problem is between 0.146 and 0.214.

Mathematics

1 answer:

tester [12.3K] · Answer 1 · 2026-02-16T20:26:47+03:00

Answer: c. We can state with 95 percent confidence that the percentage of individuals surveyed who regard climate change as a significant issue is between 0.146 and 0.214.

Step-by-step explanation:

Interpretation of the 95% confidence interval :

This means one can be 95% certain that the actual proportion in the broader population falls within this range.

From the provided details, we identify the population parameter as p (the proportion of individuals that believe in climate change )

As a result, the 95 percent confidence interval is represented as (0.146, 0.214)

Interpretation: We can assert with 95% confidence that the actual population proportion of individuals who perceive climate change as a problem ranges from 0.146 to 0.214.

c. We are 95 percent confident that the proportion of people in the sample who think climate change is a problem is between 0.146 and 0.214.

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