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Q24Section I (Objective (Q1–Q80))24 of 80

Statistical Inference — test for a two-group recovery rate comparison

Two independent groups A and B consist of 100 people each who have a disease. A serum is given to group A but not to group B; otherwise the two groups are treated identically. It is found that in groups A and B, 75 and 65 people respectively, recover from the disease. Given Z0.05=1.645Z_{0.05}=1.645 and Z0.10=1.28Z_{0.10}=1.28. Consider the following statements: 1. The results are due to chance only at 5% level of significance. 2. The serum is effective at 10% level of significance. 3. Assuming that the serum has no effect, 70 people are expected to recover in group A. 4. The standard deviation of the difference in proportions is given by 0.06. Which of the above statements are correct?

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