An article discussing a rise in the proportion of Americans with tattoos over a seven year period describes a survey of 1,003 adult Americans. Suppose that it is reasonable to regard this sample as a random sample from the population
of adult Americans. Of the survey participants, 288 reported that they had at least one tattoo.
Suppose you are interested in learning about the value of p, the proportion of all adult Americans who have at
least one tattoo. This proportion can be estimated using the sample proportion, p̂. What is the value of p̂ for this
sample? (Round your answer to four decimal places.)
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To find the value of p̂, we divide the number of survey participants who reported having at least one tattoo (288) by the total number of survey participants (1,003):
p̂ = 288/1,003
p̂ ≈ 0.2867
Therefore, the value of p̂ for this sample is approximately 0.2867.
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