The following table was presented in an article summarizing astudy to compare a new drug to a standard drug and to aplacebo.
Characteristic* | New Drug | Standard Drug | Placebo | p |
Age, years | 45.2 (4.8) | 44.9 (5.1) | 42.8 (4.3) | 0.5746 |
% Female | 51% | 55% | 57% | 0.1635 |
Annual Income, $000s | 59.5 (14.3) | 63.8 (16.9) | 58.2 (13.6) | 0.4635 |
% with Insurance | 87% | 65% | 82% | 0.0352 |
Disease Stage | | | | 0.0261 |
Stage I | 35% | 18% | 33% | |
Stage II | 42% | 37% | 47% | |
Stage III | 23% | 51% | 20% |
*Table entries and Mean (SD) or % Are there any statisticallysignificant differences in the characteristics shown among thetreatments? Justify your answer. Consider the test for differencesin age among treatments. Write the hypotheses and the formula ofthe test statistic used (No computations required – formula only).Consider the test for differences in insurance coverage amongtreatments. Write the hypotheses and the formula of the teststatistic used (No computations required – formula only). Considerthe test for differences in disease stage among treatments. Writethe hypotheses and the formula of the test statistic used (Nocomputations required – formula only).
