Hypothesis Testing — Practice Quiz
ICSE · Class 12 · Artificial Intelligence
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Quick Quiz: Hypothesis Testing
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For a hypothesis test, sample data show that the mean daily app time after an update is 52 minutes, while the historical average is 45 minutes. Which hypothesis best states the status quo before testing?
A statistical test rejects a true null hypothesis. If the situation is like classifying a legitimate email as spam, what kind of error is this?
A new AI recommendation model is actually useful, but an experiment fails to show its superiority and it is discarded. Which error and consequence are described?
A correct interpretation of a correlation coefficient says r = 0.8. What does this suggest about the relationship between two variables?
Sample Questions
A company wants to test whether a new AI model improves user engagement. Historical average daily app time is 45 minutes, and the claimed improvement is that the average daily time becomes greater than 45 minutes. Which statements are part of the full hypothesis pair?
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Null hypothesis: average daily time is 45 minutes or less, Alternative hypothesis: average daily time is greater than 45 minutes
The null hypothesis states no beneficial effect or no improvement. The alternative hypothesis is the claim that the update worked and increased the average daily time above the historical value.
A fraud detection system fails to detect a fraudulent transaction, although the null hypothesis is false. Which outcomes match this situation?
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Type II error, False negative
Failing to reject a false null hypothesis is a Type II error, also called a false negative. It means the system misses a real effect or real fraud.
A company launches a new AI model after a test incorrectly shows improvement, but the model is not actually better. Which pair is correct?
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Type I error, False positive
Rejecting a true null hypothesis is a Type I error, and it is also called a false positive. The company wrongly thinks the model is better.
A data set has correlation coefficient r = -0.2. Which statements are correct?
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The relationship is weak and negative, The value lies within the range -1 to +1
A value of -0.2 suggests a weak negative linear relationship. Any correlation coefficient r lies between -1 and +1.
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