DA0-002 Data Analysis Practice Question
A data scientist is performing a hypothesis test with a significance level α=0.05. The p-value obtained is 0.03. What should the scientist conclude?
Answer choices
Why each option matters
Answer the question above first, then reveal the full breakdown to understand why each option is right or wrong.
Correct answer & explanation
✓
Reject the null hypothesis because the p-value is less than the significance level.
Since 0.03 < 0.05, we reject the null hypothesis, indicating statistically significant evidence against it.
Answer analysis
Option-by-option breakdown
For each option: why learners choose it and why it is or isn't the right answer here.
- ✓
Reject the null hypothesis because the p-value is less than the significance level.
Why this is correct
A p-value less than α leads to rejection of the null hypothesis.
- ✗
Fail to reject the null hypothesis because the p-value is greater than 0.01.
Why it's wrong here
The threshold is 0.05, not 0.01.
- ✗
The test is inconclusive, need a larger sample size.
Why it's wrong here
The p-value is clear; the test is conclusive given α=0.05.
- ✗
Accept the null hypothesis because the p-value is small.
Why it's wrong here
We never accept the null; we either reject or fail to reject.
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