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DA0-002 Data Analysis Practice Question

An analyst is conducting an A/B test to compare two website designs. The null hypothesis is that there is no difference in conversion rates. The p-value obtained is 0.03, and the significance threshold is 0.05. What should the analyst 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; there is a significant difference.

Since p-value (0.03) < α (0.05), we reject the null hypothesis, indicating a statistically significant difference.

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; there is a significant difference.

    Why this is correct

    Correct: p < α, reject null.

  • Accept the alternative hypothesis that the new design is better.

    Why it's wrong here

    We reject null but do not automatically accept alternative; further analysis needed.

  • The test is inconclusive; need a larger sample size.

    Why it's wrong here

    p < α provides evidence to reject null; sample size is adequate if test was properly designed.

  • Fail to reject the null hypothesis; there is no significant difference.

    Why it's wrong here

    p < α means reject null.

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Written by Johnson Ajibi, MSc IT Security

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