A political scientist wants to estimate the percent of registered voters in Florida who plan to vote for a particular candidate. The political scientist interviews 4000 randomly selected registered voters in Florida and asks who they plan to vote for. 58% say they plan to vote for the candidate. Which of the following statements is true? a. 58% is a parameter because it describes a population characteristic.
b. 58% is a statistic because it describes a sample characteristic.
c. 58% is a statistic because it describes a population characteristic.
d. 58% is a parameter because it describes a samic characteristic.

You can use definition of parameter and statistic and then can use them to find what does 58% denotes here.

The true statement is given by:

Option B: 58% is a statistic because it describes a sample characteristic.

The entire group or system which we are taking in consideration is population. Nothing bigger than it lies there in consideration.

Ex: If we're taking about health problem in a country, then the whole country people form a population.

If we're taking about numbers on a 6 face die, then those 6 numbers on 6 faces form a population.

Those numbers who summarize information about population are called parameter.

A portion of population taken and analyzed to predict information about population is called sample of that population.

Ex: When someone surveys a group, then he/she surveys a portion and not whole population in general.

Those numbers who summarize information about sample are called statistic.

(Statistic is different than statistics)

Since the 58% is from the 4000 people randomly selected by the political scientist, thus, it is information about sample and thus, is a statistic.

Thus,

The true statement is given by:

Option B: 58% is a statistic because it describes a sample characteristic.

Learn more about population and statistic here:

link

b.) 58% is a statistic because it describes a sample characteristic.

Step-by-step explanation:

The randomly selected 4000 voters represents a randomly selected observations from the population of registered voters

Hence, 4000 is a sample.

The percentage of voters who would vote for a particular candidate represents a numerical characteristic derived from the sample drawn.

Recall that, numerical characteristics or values which are calculated from the sample is known as statistic while those derived from the population are called parameter.

Hence, 58% is a statistic as it describes a sample characteristic.

a; x = 0.5

step-by-step explanation:

-10x = -5

x = 0.5