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Compare the percentages of the Yes
responses.
Is the share of each medicine the same for the Yes
responses?
Medicine B
Yes, see solution.
We are asked to complete the following sentence based on the relative frequencies presented in the column two-way relative frequency table.
A greater percent of people given saw an improvement. |
Improvement? | |||
---|---|---|---|
Type | Yes | No | Total |
Medicine A | 26 % | 64 % | 50 % |
Medicine B | 74 % | 36 % | 50 % |
Total | 100 % | 100 % | 100 % |
We should compare the share of Yes
responses to determine for which medicine a greater percent of people saw an improvement. Let's highlight these values.
Improvement? | |||
---|---|---|---|
Type | Yes | No | Total |
Medicine A | 26 % | 64 % | 50 % |
Medicine B | 74 % | 36 % | 50 % |
Total | 100 % | 100 % | 100 % |
Among the patients who saw an improvement, only 26 % of them were given Medicine A, while 74 % got Medicine B. 26 %& < 74 % Medicine A & < Medicine B This means that the majority of patients that saw an improvement were given Medicine B. We can now complete the sentence.
A greater percent of people given Medicine B saw an improvement. |
Yesresponses.
Improvement? | |||
---|---|---|---|
Type | Yes | No | Total |
Medicine A | 26 % | 64 % | 50 % |
Medicine B | 74 % | 36 % | 50 % |
Total | 100 % | 100 % | 100 % |
We can see that about three quarters of the respondents that saw the improvement were given Medicine B. On the other hand the majority of patients that did not see the improvement were given Medicine A. This can be seen as evidence that improvement is related to the type of medicine.