A drug manufacturer is interested in the proportion of perso

A drug manufacturer is interested in the proportion of persons who have hypertension whose condition can be controlled by a new drug the company has developed. A study involving 5000 individuals with hypertension is conducted and it is found 4000 are able to control their hypertension with the drug.

Carefully describe the following items as they apply to this study.

            a)         the population

            b)         the variable

            c)         the sample

            d)         the parameter

            e)         the statistic

Solution

a)

Statisticians define a population as the entire collection of items that is the focus of concern. The branch of Statistics called Descriptive Statistics, provides us with ways to describe the characteristics of a given population by measuring each of its items and then summarizing the set of measures in various ways.

The branch of Statistics called Inferential Statistics consists of procedures to make educated inferences about the characteristics of a population by drawing a random sample and appropriately analyzing the information it provides.

here A study involving 5000 individuals with hypertension is conducted hence 5000 individual can be defined as population.

b)         the variable

A numerical value or a characteristic that can differ from individual to individual.

here the numerical value are indicated as variable that is not a constant it can varies from individual to individual.

c)         the sample

A subset of a *population usually chosen in such way that it can be taken to represent the population .

here the sample 4000 are able to control their hypertension with the drug.

d)         the parameter

Parameter.

A numerical property of a population, such as its mean.

5000 individuals with hypertension is conducted can be taken as population

mean is =x/n=4000/5000=.8

e)         the statistic

Statistic.

A number that can be computed from data, involving no unknown parameters. As a function of a random sample, a statistic is a random variable. Statistics are used to estimate parameters, and to test hypotheses.