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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 proportion 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.

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JeanaShupp

Answer: 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.

Step-by-step explanation:

Interpretation for 95% confidence interval :

A person can be 95% confident that the true population parameter lies in it.

By considering the given information , we have

population parameter→ p (Proportion of people who think climate change )

95 percent confidence interval = (0.146, 0.214)

Interpretation : We can be 95% confident that the true population proportion of people who think climate change lies between 0.146 and 0.214.

So , the correct answer is

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.

The interpretation of the confidence interval is that "we can be 95% confident that the true population proportion of people who think climate change lies between 0.146 and 0.214". The correct option is C).

Given :

  • A random sample of 1,175 people in a certain country was asked whether they thought climate change was a problem.
  • The sample proportion of those who think climate change is a problem was calculated, and a 95 percent confidence interval was constructed as (0.146, 0.214).

95% confidence interval means a person is 95% confident that true population lies in it.

95% confidence interval is given by (0.146,0.214).

So, the interpretation of the confidence interval is that "we can be 95% confident that the true population proportion of people who think climate change lies between 0.146 and 0.214".

Therefore, the correct option is 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.

For more information, refer to the link given below:

https://brainly.com/question/23044118

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