AnswersAQR_A_ICPreparing to Test a Claim about a Population ProportionQuestion 4
4
QuizMultiple Choice

Preparing to Test a Claim about a Population Proportion

Question 4 • AQR_A_IC

A reporter claims that 90% of American adults cannot name the current vice president of the United States. To investigate this claim, the reporter selects a random sample of 50 American adults and finds that 28 are unable to name the current vice president. The reporter would like to know if the data provide convincing evidence that fewer than 90% of American adults are unable to name the current vice president. Are the conditions for inference met?

Answer
A
Yes, the conditions for inference are met.
B
No, the 10% condition is not met.
C
No, the Large Counts Condition is not met.
D
No, the randomness condition is not met.

Explanation

The sample is random, and 50 adults is less than 10% of the U.S. adult population, so those conditions are met. For a one-proportion test, check the Large Counts Condition using the claimed proportion, 0.90: 50(0.90) = 45 and 50(0.10) = 5. Since 5 is less than 10, the Large Counts Condition is not met; the correct choice is “No, the Large Counts Condition is not met.”

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