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At the  = 0.05 level. In question 7, the decision on the null hypothesis is:  Do not reject reject None of the above

Question

At the α=0.05 \alpha = 0.05 level. In question 7, the decision on the null hypothesis is:

  • Do not reject
  • reject
  • None of the above
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Solution

To provide an accurate answer, I would need more context about the hypothesis test you are referring to in question 7. However, I can explain the general interpretation of hypothesis testing at the alpha level (α) of 0.05.

In hypothesis testing, the steps typically involve:

  1. State Null and Alternative Hypothesis: The null hypothesis (H₀) represents a statement of no effect or no difference, while the alternative hypothesis (H₁) represents what you want to prove.

  2. Choose Significance Level: In this case, α = 0.05 means that you are willing to accept a 5% chance of incorrectly rejecting the null hypothesis.

  3. Compute Test Statistic: Depending on the test type (e.g., t-test, z-test), calculate the test statistic from your sample data.

  4. Determine Critical Value(s): Based on the test statistic and the chosen significance level, determine the critical value(s) that define the rejection region.

  5. Make a Decision: If the test statistic falls into the rejection region (or if the p-value is less than α), you reject the null hypothesis. Otherwise, you do not reject it.

  6. Conclusion: State your conclusion based on whether you rejected or did not reject the null hypothesis.

Since I don’t have the specific data or results from question 7, I cannot make a definitive decision on whether to reject or not reject the null hypothesis. If you provide the specific details of question 7, including the test statistic and the corresponding p-value or critical values, I could further assist you with a precise response.

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