Q: A teacher calculates the percentage of students who passed an exam. If 18 out of 24 students passed, what is the percentage?

$$\frac{18}{24} \times 100 = 75\%$$

Question 1

A pharmaceutical company reports that a new drug reduces blood pressure by an average of 2 mmHg with a p-value of 0.001. Which statement best describes the result?

Accepted Answer

The result is statistically significant but may not be practically significant.

Question 2

Which of the following best defines a parameter in statistics?

Accepted Answer

A numerical value that describes a characteristic of a population.

Question 3

A researcher claims that 80% of students prefer online classes based on a survey of 50 students. What is a potential flaw in this statistical claim?

Accepted Answer

The sample may not be representative of the entire student population.

Question 4

Which sampling method involves dividing a population into subgroups and randomly selecting members from each subgroup?

Accepted Answer

Stratified sampling

Question 5

A survey is conducted at a local gym to determine the average exercise time of adults in the city. Which flaw is most likely present in this sampling method?

Accepted Answer

Selection bias due to convenience sampling.

Question 6

Given a dataset: {Red, Blue, Green, Yellow}, how should this data be classified?

Accepted Answer

Qualitative

Question 7

Which of the following is an example of discrete quantitative data?

Accepted Answer

The number of cars sold at a dealership each day.

Question 8

A hospital records the time (in minutes) it takes for patients to be seen by a doctor. What level of measurement is this data?

Accepted Answer

Ratio

Question 9

A teacher calculates the percentage of students who passed an exam. If 18 out of 24 students passed, what is the percentage?

Accepted Answer

$$\frac{18}{24} 	imes 100 = 75\%$$

Question 10

Which of the following best describes the difference between statistics and parameters?

Accepted Answer

Statistics are calculated from samples, parameters are calculated from populations.

Question 11

A study finds a statistically significant difference in test scores between two teaching methods with $$p = 0.03. $$However, the average difference is only 1 point. What is the best interpretation?

Accepted Answer

The difference is statistically significant but may not be practically significant.

Question 12

Which of the following is an example of continuous quantitative data?

Accepted Answer

The weight of apples measured in grams.

Question 13

A researcher uses cluster sampling to select participants for a study. Which scenario best illustrates cluster sampling?

Accepted Answer

Dividing the population into groups and randomly selecting entire groups.

Question 14

Which level of measurement allows for meaningful ratios and has a true zero point?

Accepted Answer

Ratio

Question 15

A survey asks respondents to rate their satisfaction on a scale from 1 (very dissatisfied) to 5 (very satisfied). What level of measurement is this?

Accepted Answer

Ordinal

Question 16

A study reports that a new teaching method increases test scores by 0.5 points with $$p = 0.04. $$Which statement is most accurate?

Accepted Answer

The result is statistically significant but may lack practical significance.

Question 17

Which of the following is a potential flaw of convenience sampling?

Accepted Answer

It may lead to biased results that are not generalizable.

Question 18

A researcher wants to evaluate the validity of a statistical measure. Which of the following is most important?

Accepted Answer

Whether the measure accurately reflects the concept being studied.

Question 19

A study reports that 60% of patients improved after treatment. If 90 patients were treated, how many improved?

Accepted Answer

$$0.60 	imes 90 = 54$$

Introductory Statistics Study Guide: Key Concepts and Practice

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