Parameter and Statistic. In a Harris Interactive survey of 2276 adults in the United States, it was found that 33% of those surveyed never travel using commercial airlines. Identify the population and sample. Is the value of 33% a statistic or parameter?

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22-01-2020
Mathematics

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Parameter and Statistic. In a Harris Interactive survey of 2276 adults in the United States, it was found that 33% of those surveyed never travel using commercial airlines. Identify the population and sample. Is the value of 33% a statistic or parameter?

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dfbustos dfbustos · Answer 1 · 2020-01-23T09:54:12+01:00

Answer:

Our population of interest represent all the adults in United states who never travel using commercial airlines.

The sample on this case represent the people surveyed in United States who never travel using commercial airlines.

For this case the value obtained [tex] \hat p =0.33[/tex] represent a statistic since is a value who represent the sample not the population. Our population parameter is not known and is given by [tex] p[/tex]

Step-by-step explanation:

A statistic is a "characteristic of a sample". And the statistic allows "estimate the value of a population parameter".

A parameter is a value who represent the population of interest.

For this case we have a sample size of size n = 2276

The proportion estimated [tex]\hat p[/tex] of people that nevel travel using commercial airlines was:

[tex] \hat p = \frac{x}{2276}=0.33[/tex] or 33%

Our population of interest represent all the adults in United states who never travel using commercial airlines.

The sample on this case represent the people surveyed in United States who never travel using commercial airlines.

For this case the value obtained [tex] \hat p =0.33[/tex] represent a statistic since is a value who represent the sample not the population. Our population parameter is not known and is given by [tex] p[/tex]