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DA0-002 Data Analysis Practice Question

A data analyst runs an A/B test on a new website layout. The test yields a p-value of 0.04 with the null hypothesis being no difference in conversion rates. The significance threshold is α=0.05. Which of the following is the correct conclusion?

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 statistically significant difference in conversion rates.

Since p-value (0.04) < α (0.05), we reject the null hypothesis and conclude there is a statistically significant difference. However, statistical significance does not guarantee practical significance.

Answer analysis

Option-by-option breakdown

For each option: why learners choose it and why it is or isn't the right answer here.

  • The result is not significant; accept the alternative hypothesis.

    Why it's wrong here

    We never accept the null; we either reject or fail to reject.

  • Reject the null hypothesis; the new layout is proven to increase conversions.

    Why it's wrong here

    Rejecting null indicates a difference, but does not 'prove' increase; direction and effect size matter.

  • Reject the null hypothesis; there is a statistically significant difference in conversion rates.

    Why this is correct

    Correct interpretation: statistically significant difference exists.

  • Fail to reject the null hypothesis; there is no evidence of a difference.

    Why it's wrong here

    p < α means we reject the null.

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