The American Heart Association is about to conduct an anti-smoking campaign and wants to know the fraction of Americans over 44 who smoke. Step 1 of 2 : Suppose a sample of 2653 Americans over 44 is drawn. Of these people, 2149 don't smoke. Using the data, estimate the proportion of Americans over 44 who smoke. Enter your answer as a fraction or a decimal number rounded to three decimal places.

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Answer:

The proportion of Americans over 44 who smoke is 0.189.

Step-by-step explanation:

We are given the following in the question:

Sample size, n = 2653

Number of Americans over 44 who does not smoke = 2149

Thus,

Number of Americans over 44 who smoke,x =

[tex]x=2653-2149\\x=504[/tex]

We have to estimate the proportion of Americans over 44 who smoke.

Formula:

[tex]\hat{p} = \dfrac{x}{n} = \dfrac{504}{2653}=0.189[/tex]

The proportion of Americans over 44 who smoke is 0.189.