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Statistics:
2. Statistics on cure rates for drug resistant bacterial infections in laboratory rats have established that when treated with traditional antibiotics, only 55% of the rats survive for one month or longer. A new cocktail of antibiotics is tested on 500 rats. For each of the following statements, determine if it is true or false, and give reasons: If more than 275 of the rats survive for one month or longer, the new treatment is superior a. b. If only slightly more than 275 of the rats survive for one month or longer, this is not strong evidence that the new treatment is superior, since the difference could be explained by sampling variation. c. If significantly more (whatever this ends up meaning) than 275 of the rats survive for one month or longer, this does provide strong evidence that the new treatment is superior, since it is very unlikely that such a difference could be entirely explained by sampling variation. No experimental result can give strong evidence that the new treatment is superior, since even a 100% survival rte could occur as a result of sampling variation. d.
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