ACT Math · Statistics and data analysis

In a survey of 400 people, 250 said they prefer Product A. What is the sample proportion who prefer Product A?

In a survey of 400 people, 250 said they prefer Product A. What is the sample proportion who prefer Product A?

Answer and explanation

Answer: C: 0.625

The sample proportion is the part of the sample with the characteristic divided by the sample size: 250400=0.625\frac{250}{400}=0.625, choice C. This means 62.5%62.5\% of the surveyed people prefer Product A. Choice A (0.3750.375) is the proportion that do not prefer Product A, 150400\frac{150}{400}. Choice B (0.600.60) compares the 150150 who do not prefer it to the 250250 who do, which is a ratio between the groups. Choice D (1.61.6) is 400250\frac{400}{250}, which divides in the wrong order. A proportion can never be greater than 11.

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