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

Question

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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Alexandra 2 weeks 2022-01-08T07:03:42+00:00 1 Answer 0 views 0

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    2022-01-08T07:04:59+00:00

    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.

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