a pollster wishes to estimate the number of left-handed scientists. how large a sample is needed in order to be 95% confident that the sample proportion will not differ from the true proportion by more than 4%? a previous study indicates that the proportion of left-handed scientists is 8%.

Respuesta :

If a pollster wishes to estimate the number of left-handed scientists. The sample that is needed in order to be 95% confident that the sample proportion will not differ from the true proportion by more than 4% is: 176.71.

How to find the sample?

Using this formula to find the sample

n =Z²π (1-π) ÷ e²

Where:

n =sample size =?

Z =  Z -score for 95% confidence level =1.960

π = Population proportion = 0.08

e = Margin of error = 0.04

Let plug in the formula

n = 1.96² × 0.08 × (1 - 0.08) ÷ 0.04²

n =  3.8416× 0.08 × 0.92 ÷ 0.0016

n = 176.71

Therefore the sample is 176.71.

Learn more about sample size here:https://brainly.com/question/28583871

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