Question 1

Which of the following best defines a population in the context of statistical studies?

Accepted Answer

The complete set of people or things being studied.

Question 2

A sample statistic is:

Accepted Answer

A number that describes a characteristic of the sample.

Question 3

In a survey of 1,000 adults in a country, 52% said that they smoke cigarettes. What is the sample in this study?

Accepted Answer

The 1,000 adults who were surveyed.

Question 4

Which of the following statements about sample size and population size is correct?

Accepted Answer

A sample is a subset of the population and cannot be larger than the population.

Question 5

A pollster claims to improve survey results by only conducting polls in which the margin of error is zero. What is wrong with this claim?

Accepted Answer

The statement does not make sense. Margin of error of zero implies that there is no uncertainty in a survey result. This could happen only if the entire population was surveyed, rather than just a sample.

Question 6

In a study, the population parameter of interest is the percentage of adults in a country who smoke at least one cigarette per week. The sample statistic is:

Accepted Answer

The percentage of the 1,000 adults surveyed who smoke at least one cigarette per week.

Question 7

Suppose a poll of 1,000 randomly selected adults finds that 52% are unemployed, with a margin of error of 4 percentage points. What is the confidence interval for the population parameter?

Accepted Answer

$$52\% \pm 4\%$$

Question 8

Which of the following best describes raw data in a statistical study?

Accepted Answer

The individual measurements collected.

Question 9

A pharmaceutical company wants to estimate the proportion of patients who experience side effects from a new drug. They survey 500 patients and find that 60 report side effects. What is the sample statistic?

Accepted Answer

The proportion of the 500 surveyed patients who report side effects.

Question 10

Which of the following is a population parameter?

Accepted Answer

The mean income of all adults in a country.

Question 11

A researcher wants to estimate the average height of students at a university. She measures the heights of 200 randomly selected students. What is the population?

Accepted Answer

All students at the university.

Question 12

If a confidence interval for a population proportion is $$[35\%, 41\%]$$, what is the margin of error?

Accepted Answer

$$6\%$$

Question 13

Which of the following statements is true regarding confidence intervals?

Accepted Answer

A confidence interval provides a range of values likely to contain the population parameter.

Question 14

A poll finds that 62% of randomly selected adults believe climate change is a serious issue, with a margin of error of 3 percentage points. What is the interval likely to contain the population proportion?

Accepted Answer

$$[59\%, 65\%]$$

Question 15

Which of the following is NOT a plausible reason for a margin of error to be zero in a survey?

Accepted Answer

The sample size was smaller than the population.

Question 16

A medical researcher wants to estimate the average blood pressure of adults in a city. She collects data from 300 randomly selected adults. What is the sample?

Accepted Answer

The 300 adults whose blood pressure was measured.

Question 17

Which of the following best describes the relationship between a sample and a population?

Accepted Answer

A sample is a subset of the population.

Question 18

A poll of 1,500 randomly selected voters finds that 45% support a new law, with a margin of error of 2 percentage points. What is the confidence interval for the population proportion?

Accepted Answer

$$[43\%, 47\%]$$

Question 19

Which of the following is an example of a population parameter?

Accepted Answer

The mean cholesterol level of all adults in a country.

Fundamental Concepts in Statistics: Populations, Samples, and Statistical Inference

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