Question

When treated with a standard hypertension drug, half of patients experience a marked decrease in blood pressure, a quarter of them have a moderate decrease in blood pressure, 10% have only a slight decrease, and the rest have either no change or a slight increase in blood pressure. When a new drug was trialled on a random sample of 200 hypertension patients, the following results were obtained: Marked Moderate Slight No change or Decrease Decrease Decrease slight increase Count118 14 10 58 Do these results indicate that outcomes under the new drug differ from those on the standard treatment? Evaluate with a suitable hypothesis test at 1% significance level. If you think the outcomes differ, indicate, with reasons, whether the new drug is better or worse than the standard drug.

(please show thorough working & indicate where software was used for calculations, cheers)

Answer 1

Console Terminal >#since we have counts here for different responses we need to perform chi sq test to find the relation between outcome and trial > x-C(118,58,14,10) > chisq.test (x) Chi-squared test for given probabilities data: x x-squared- 151.68, df -3, 2. 2e-16 p-value < >. #since the test stat i, e. p value is 2.2*10^-16 which is very very less than 0.01 we have to reject Ho here > #H0 : There is no difference betwen the reason > #Ha : There is significant difference betwen the reason > #we have taken criteria of measurement as p<0.01 since we rae checking for 1% significance level > #since we can see the count of marked decrease very large as compared to rest of the parameters we can say that there the reason we rejected the Ho is because the new drug is better than the standard drug

Done the above analysis in R. You can use any tool to do the same.

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