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Suppose​ 30% of the people in your town talk on their cell phones and drive at the same time. If you stood on a busy street corner and watched 50 people drive​ by, what is the standard deviation of the model you would use for the sample proportion you​ observe?

Respuesta :

MrRoyal

Answer:

[tex]SD= 3.24[/tex]

Step-by-step explanation:

Given

[tex]Proportion, p = 30\%[/tex]

[tex]Population, n = 50[/tex]

Required

Determine the standard deviation

Standard Deviation (SD) is calculated as:

[tex]SD= \sqrt{np(1-p)}[/tex]

Substitute values for n and p

[tex]SD= \sqrt{50 * 30\% * (1-30\%)}[/tex]

Convert percentage to decimals

[tex]SD= \sqrt{50 * 0.30 * (1-0.30)}[/tex]

[tex]SD= \sqrt{50 * 0.30 * 0.70}[/tex]

[tex]SD= \sqrt{10.5}[/tex]

[tex]SD= 3.24[/tex] approximated

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