What is the alternative hypothesis in a statistical test?
The statement that is always true.
The statement we are trying to disprove.
The statement of no change or no relationship.
The statement we accept if the null hypothesis is rejected.
If the range of a dataset is 20, and the smallest value is 5, what is the largest value?
Cannot be determined
20
25
15
Which of the following is NOT a core component of statistical analysis?
Data Interpretation
Probability Assessment
Algorithm Development
Data Collection
What is the primary goal of hypothesis testing in statistics?
To calculate the exact value of the population parameter.
To prove the null hypothesis is true.
To determine the likelihood of observing the data if the null hypothesis were true.
To prove the alternative hypothesis is true.
In a deck of 52 cards, what is the probability of drawing a heart, given that you know the card is red?
1/13
1/4
1/2
1/52
A researcher wants to ensure representation from different age groups (20-30, 31-40, 41-50, etc.) in their sample. Which sampling method is most appropriate?
Simple Random Sampling
Systematic Sampling
Stratified Sampling
Cluster Sampling
What is the primary use of a bar chart?
Comparing values across different categories
Displaying the relationship between two continuous variables
Representing parts of a whole
Showing the distribution of a continuous variable
What does a pie chart primarily illustrate?
Distribution of a single variable
Parts of a whole
Trend over time
Correlation between variables
Events A and B are independent. The probability of A is 0.4, and the probability of B is 0.5. What is the probability of both A and B happening?
0.1
0.9
0.2
0.7
Which of the following is an example of a discrete variable?
Number of siblings someone has
Temperature of a room
Weight of a package
Height of a student