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The p-value for the hypothesis test is 0.0062 , which means the observed difference [ Select ] statistically significant at the 1% level.

Question

The p-value for the hypothesis test is 0.0062, which means the observed difference [ Select ] statistically significant at the 1% level.

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Solution

The p-value of 0.0062 indicates that the probability of observing a result as extreme as, or more extreme than, the one obtained is 0.62% under the null hypothesis. Since the p-value is less than 0.01 (1%), we conclude that the observed difference is statistically significant at the 1% level. This suggests that there is strong evidence against the null hypothesis, and it can be rejected in favor of the alternative hypothesis.

To summarize:

  1. P-value: 0.0062
  2. Significance Level: 0.01 (1%)
  3. Conclusion: The observed difference is statistically significant at the 1% level.

Thus, we can infer that the observed result is unlikely to have occurred by chance alone under the null hypothesis.

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