A survey of American adults asks​ "Would you like to see more or less government spending on natural​ disasters?" Of the 1496​ respondents, 723 responded​ "more&q…

Question

A survey of American adults asks​ "Would you like to see more or less government spending on natural​ disasters?" Of the 1496​ respondents, 723 responded​ "more" or​ "much more".The proportion of respondents who responded "more" or "much more" is an example of what?A) random samplingB) the populationC) a parameterD) a statisticE) the sample

Answer 1

D) a statistic

Explanation:

Previous concepts

A parameter is "any numerical quantity that characterizes a given population or some aspect of it". Or a value who represent the population of interest.

A statistic is "used to estimate the value of a population parameter".

Solution to the problem

For this case the parameter of interest is the true proportion of people who think that the government would expend much or much more on natural disasters. And we can denote our parameter as
`p`

In order to estimate our parameter we use the sample proportion who represent a statistic and is given by:

`\hat p = (723)/(1496)=0.483`

For our case we want to answer this question: "The proportion of respondents who responded "more" or "much more" is an example of what.."

And for this case the sample proportion represent a statistic.