Question 18 A survey of 1000 American citizens conducted by

Question 18) A survey of 1000 American citizens conducted by a newspaper reported that 81% of those surveyed like business tycoon Donald Trump. The unknown true percentage of American citizens who like Donald Trump is a

A) parameter.
B) population.
C) statistic.
D) sample.

Question 19) A survey of 1000 American citizens conducted by a newspaper reported that 81% of those surveyed like business tycoon Donald Trump. The number 81% is a

A) parameter.
B) population.
C) statistic.
D) sample.

Please explain your answers for each question i need to understand the logic.

Solution

Sample proportion is known as statistics and true proportion is known as parameter. Example of statistics: sample mean, sample proportion, sample standard devaition.

Parameters are used to define popualtion. Example of parameter: populaiton mean, true proporiton or populaiton proportion, populaiton standard devaition.

18):

In the given question sample proportion (statistics) is given and true proportion (parameter ) is unknown. So option A is correct.

19) 81% shows the proportion of American citizens otu of a sample of 1000 American citizens who  like business tycoon Donald Trump. So 85% is statistics. hence, option (c) is correct.