Preparing to Test a Claim about a Population Proportion
Question 7 • AQR_A_IC
According to historical data, it is believed that 12% of American adults work more than one job. To investigate if this claim is still accurate, a random sample of 100 American adults is selected. It is discovered that 18 of them work more than one job. A researcher would like to know if the data provide convincing evidence that the true proportion of American adults who work more than one job differs from 12%. 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 described as random, so the randomness condition is met. For a one-proportion test, check large counts using the claimed proportion: 100(0.12) = 12 and 100(0.88) = 88, both at least 10. The sample of 100 is also less than 10% of the population of American adults, so the 10% condition is met. Thus, the conditions for inference are met.
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