Question 1

Which of the following best describes a population in a statistical study?

Accepted Answer

The complete set of people or things being studied.

Question 2

In a survey of 2,000 college students, 65% reported using online resources for studying. What is the sample statistic in this scenario?

Accepted Answer

65%

Question 3

Which of the following is the correct formula for a confidence interval given a sample statistic $$\hat{p}$$ and margin of error $$E$$?

Accepted Answer

$$\hat{p} \pm E$$

Question 4

A poll found that 52% of respondents support a new law, with a margin of error of 3 percentage points. What is the 95% confidence interval for the proportion of the population that supports the law?

Accepted Answer

$$[0.49, 0.55]$$

Question 5

Which step in the statistical study process involves making generalizations about the population based on sample statistics?

Accepted Answer

Making inferences about the population.

Question 6

If a sample statistic is 40% with a margin of error of 5%, what is the lower bound of the confidence interval?

Accepted Answer

$$0.45$$

Question 7

Which of the following best describes a sample statistic?

Accepted Answer

A number describing a characteristic of the sample.

Question 8

A researcher wants to estimate the average height of all adult males in a city. She measures the heights of 150 randomly selected adult males. What is the population parameter in this study?

Accepted Answer

The average height of all adult males in the city.

Question 9

Which of the following is NOT a step in the statistical study process?

Accepted Answer

Publish the results in a scientific journal.

Question 10

A news report states: 'In a survey of 1,500 adults, 60% said they exercise regularly. The margin of error is 2%.' What can you conclude about the population proportion?

Accepted Answer

The true proportion is likely between 58% and 62%.

Question 11

Which of the following statements about margin of error is correct?

Accepted Answer

It measures the amount by which a sample statistic may vary from the population parameter.

Question 12

In the context of the statistical study process, what is the main purpose of collecting raw data from a sample?

Accepted Answer

To calculate sample statistics that can be used to infer population parameters.

Question 13

A poll reports a 95% confidence interval for the proportion of voters supporting a candidate as $$[0.48, 0.54]. $$What does this mean?

Accepted Answer

If the poll were repeated many times, about 95% of the confidence intervals would contain the true population proportion.

Question 14

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

Accepted Answer

The mean body temperature of all adults in the United States.

Question 15

A researcher collects data from a sample and finds a sample mean of $$\bar{x} = 72$$ with a margin of error of $$4. $$What is the upper bound of the 95% confidence interval?

Accepted Answer

$$76$$

Introduction to Statistics: Populations, Samples, and the Statistical Study Process

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