26
AssignmentMultiple Choice

Preparing to Estimate a Population Proportion

Question 26 • CA-Statistics and Probability B

Interpret this interval.

Answer
A
90% of all doctors are satisfied with the current state of US health care.
B
Between 39.7% and 50.3% of the sample of doctors are satisfied with the current state of US health care.
C
We are 90% confident that the interval from 0.397 to 0.503 captures p = the true proportion of all US doctors who are satisfied with the current state of US health care.
D
A majority of the doctors in the sample are satisfied with the current state of US health care.

Explanation

A 90% confidence interval describes uncertainty about the population proportion, not the sample proportion. We are 90% confident that the interval from 0.397 to 0.503 contains p, the true proportion of all US doctors who are satisfied with the current state of US health care. Choice B describes a sample proportion, while choice A claims a specific population percentage rather than interpreting the interval.

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