Sean wants to estimate the percentage of people who have a yearly physical exam from their physician. He surveys 350 individuals
and finds that 238 have a yearly physical exam. What is the correct interpretation of the 95%confidence interval? a. We estimate that 95% of the time a survey is taken, the proportion of people who have a yearly physical exam will be between 0.631 and 0.729. b. We estimate with 95% confidence that the true population proportion of people who have a yearly physical exam is between 0.631 and 0.729. c. We estimate with 95% confidence that the sample proportion of people who have a yearly physical exam is between 0.631 and 0.729.
1 answer:
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The Solution.
Representing the problem in a diagram, we have
By formula,
In this case,
Substituting these values in the formula above, we get
Clearing the bracket, we get
Dividing both sides by 2, we get
Therefore, the correct answer is option C.
