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In 2017 the Gallup poll surveyed 1021 adults in the United States and found that 57% supported a ban on smoking in public places.

a. Identify the population and the sample.

b. What is the parameter of interest? What is the statistic?

a. Identify the population. Choose the correct answer below.

O A. The population is the 57% of adults who support smoking bans.

O B. The population is people in the United States.

O C. The population is adults in the United States.

OD. The population is adults.

O E. The population is adults in the United States who support smoking bans.

OF. The population is the 1021 adults surveyed.

1 Answer

3 votes

Answer:

Explained below.

Explanation:

(a)

A population is the set of all the data that can be collected and from which a smaller set of data is drawn for further examination. A population may denote to a group of individuals, articles, trials or measurements. A population can thus be called as a collection of information regarding subjects combined together by a common characteristic.

  • The population is adults in the United States.

A sample denotes a smaller, controllable form of a larger cluster. It is a subset comprising of the characteristics of a bigger population. Samples are used in statistical experiments when the population under consideration is too large for the test to include all the members.

  • The sample is the 021 adults surveyed.

(b)

A parameter is a valuable element of statistical analysis. It denotes the characteristics that are used to define a given population. It is used to define a particular attribute of the population. For instance, population mean, population standard deviation, population proportion and so on.

  • The parameter of interest is population proportion of adults in the United States who support smoking bans.

While making a statistical conclusion about the population under study, the parameter value is unknown. This is because it would not be possible to gather data from every single member of the population. So a sample is selected from the population to derive a conclusion about the parameter.

A statistic is the value of the characteristics that are computed using this sample. For instance, sample mean, sample standard deviation, sample proportion and so on.

  • The statistic is the 57% of adults who support smoking bans.
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