Question

A “random survey” was conducted of $3,274$people of the “microprocessor generation” (people born since $1971$, the year the microprocessor was invented). It was reported that 48% of those individuals surveyed stated that if they had $\$2,000$to spend, they would use it for computer equipment. Also, $66\%$of those surveyed considered themselves relatively savvy computer users.

a. Do you consider the sample size large enough for a study of this type? Why or why not?

b. Based on your “gut feeling,” do you believe the percents accurately reflect the U.S. population for those individuals born since $1971$? If not, do you think the percents of the population are actually higher or lower than the sample statistics? Why? Additional information: The survey, reported by Intel Corporation, was filled out by individuals who visited the Los Angeles Convention Center to see the Smithsonian Institute's road show called “America’s Smithsonian.”

c. With this additional information, do you feel that all demographic and ethnic groups were equally represented at the event? Why or why not?

d. With the additional information, comment on how accurately you think the sample statistics reflect the population parameters

Short answer

(a) A sample of $3,274$people has been considered; thus, the study can be conducted.

(b) The percentage of the U.S population is indeed higher than the sample statistics indicate.

(c) All demographic and ethnic groups are not equally represented.

(d) The population parameter is not reflected in the sample statistic.

Step-by-step solution

Given information

Given a random survey conducted of $3,274$people of the microprocessor generation.

Explanation (part a)

As a total of $3,274$participants were considered, the sample size was large enough for the study to be conducted.

Explanation (part b)

The percentage of the population is accurately higher than the sample statistics because only a few of the U.S. The Los Angeles Convention Center was visited by a population of people born after $1971$.

Explanation (part c)

All demographic and ethnic groups are not represented equally because there are not given how much population demographic and ethnic had. so, it can be said that it is not represented equally at events.

Explanation (part d)

The sample statistic does not accurately represent the population parameter since no such parameter is evaluated in the sample to determine the sample's behaviour for which the entire sample will act.