Question

A minor is a person less than 18 years of age. Consider the following statement: "At the 90% confidence level, we estimate that the true population proportion of minors living in the United States who use vaping products is at least 0.2 but no more than 0.3. If we were to construct a confidence interval at the 95% confidence level, the resulting interval would be narrower."
Are there any errors in this statement?

A. This interpretation is correct. There are no errors.

B. In the first sentence, the phrase "true population proportion" should be replaced with "sample proportion."

C. In the second sentence, "narrower" should be replaced with "wider."

D. In the first sentence, the word "estimate" should be replaced with "know for certain."

E. In the second sentence, "95%" should be replaced with "99%."

Answer 1

We know that,

Higher the confidence level, wider the range of confidence interval.

Therefore,

95% confidence interval is always wider than the 90% confidence interval.

Hence,

The correct answer is given by,

C. In the second sentence, "narrower" should be replaced with "wider."

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