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Assume that a Chi-square test provided a probability value of 0.02. Should the null hypothesis be accepted?

User Lowitty
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Final answer:

If the p-value of 0.02 is less than the significance level α (typically 0.05), which it is in this case, the null hypothesis is rejected, indicating sufficient evidence against it.

Step-by-step explanation:

When a Chi-square test yields a p-value of 0.02, this indicates the probability of obtaining test results at least as extreme as the ones observed, assuming that the null hypothesis is true. To determine whether to reject the null hypothesis or not, we must compare the p-value to the predetermined level of significance, α (alpha). If the p-value is less than α, which is often set at 0.05 for many tests, then we reject the null hypothesis. In this case, since a p-value of 0.02 is less than the commonly used alpha level of 0.05, the decision would be to reject the null hypothesis. This means there is sufficient evidence to suggest that the observed data is not consistent with the null hypothesis.

User Shawnay
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