when designing a study to determine this population proportion, what is the minimum number of drivers you would need to survey to be 95% confident that the population proportion is estimated to within 0.05? (round your answer up to the nearest whole number.)

Respuesta :

The minimum number of drivers is 385.

For 95% confidence, z = 1.96

p = q = 0.5 [Since no estimated proportion is given]

E = 0.05

Hence,

Minimum number of drivers needed

n = (0.5) x (0.5) x ((1.96) / (0.05)) ^2

n = 384.16

Hence,

Number of drivers needed = 385    

(Because we can't have number of drivers in decimal so rounded off to next integer)

In data, a population proportion, normally denoted with the aid of P or the Greek letter π, is a parameter that describes a percent value associated with a populace. as an example, the 2010 America Census confirmed that 83.7% of the American population changed into recognized as not being Hispanic or Latino; the price of .837 is a population proportion. In popular, the population percentage and other populace parameters are unknown. A census may be carried out a good way to determine the real cost of a population parameter, but often a census is not realistic because of its fees and time consumption.

A population proportion is usually anticipated via an independent sample statistic acquired from an observational observe or experiment. for instance, the countrywide Technological Literacy convention performed a country wide survey of 2,000 adults to determine the share of adults who're economically illiterate. The take a look at showed that 72% of the two,000 adults sampled did not recognize what a gross domestic product is. The value of 72% is a pattern percentage. The sample proportion is commonly denoted by and in some textbooks with the aid of p.

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