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A well-designed survey of American adults is conducted to investigate a claim that less than 10% of the population approve of attempts to clone a human. The following 99% confidence interval is found using the results of the survey: (4%, 14%). Which of the following statements about the claim that less than 10% of the population approve of attempts to clone a human is supported by the confidence interval?

A. The results of the survey do support the claim since 10% is within our interval.
B. The results of the survey do not support the claim since we are 99% confident the true proportion of the population who approve is between 4% and 14%. This is includes results less than 10%.
C. The results of the survey do not support the claim since we are 99% confident the true proportion of the population who approve is between 4% and 14%. This is includes results of 10% and higher
D. The results of the survey do support the claim since we are 99% confident the true proportion of the population who approve could be as low as 4%.

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User Sslepian
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1 Answer

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Final answer:

The survey's 99% confidence interval does not support the claim that less than 10% of the population approve of human cloning, as the interval includes values greater than 10%.

Step-by-step explanation:

The question concerns a well-designed survey that produced a 99% confidence interval of (4%, 14%) for American adults' approval of attempts to clone a human. The claim being investigated is that less than 10% of the population approve such attempts.

When evaluating the claim against the confidence interval, it's important to understand what a confidence interval represents. It provides a range between which we can be certain, to the degree of confidence chosen (in this case, 99%), the true proportion lies. Since the provided interval is from 4% to 14%, it does include 10% but also includes values greater than 10% up to 14%. Therefore, the correct statement in relation to the claim is: Option B: The results of the survey do not support the claim since we are 99% confident the true proportion of the population who approve is between 4% and 14%. This includes results less than 10%.

An increase in the confidence percentile means a wider interval and, conversely, a decrease in the confidence percentile would result in a narrower interval if we were to alter it from 99% to 90%, for example.

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User Mental
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