chetan2u wrote:
The graph shows data for physicians who, in 2000 and 2008, were surveyed about the average number of times per month they used each of 3 methods (telephone, email, and video conferencing) to communicate with their patients. The bars represent the percentage of the respondents who reported using the indicated method the indicated number of times per month.
Select from each drop-down menu the option that completes the statement so that it most accurately reflects the information provided.
It must be the case that the median number of times per month respondents reported having communicated with patients by[Dropdown Placeholder #1]in the 2008 survey was less than that in the 2000 survey.
It must be the case that the percentage of respondents who reported having communicated with patients by both[Dropdown Placeholder #2] was as great or greater in the 2008 survey as it was in the 2000 survey.
The tricky part of this question is the data given to us. Once we understand it, the questions are fairly simple.
Say 10 physicians were surveyed.
2000 survey would look something like this
Question: How many times in a month did you communicate with patients using telephone?
Response of the 10 physicians: 0, 0, 1, 1, 2 , 4, 4, 5, 7, 9
20% people said 0, 20% said 1, 30% said more than 1 but less than or equal to 4 and 30% said more than 4.
Same was repeated for email, video and then again in 2008 too.
It must be the case that the median number of times per month respondents reported having communicated with patients by _____ in the 2008 survey was less than that in the 2000 survey.For which of telephone/email/video was the median for 2008 less than the median for 2000?
The median for telephone in 2000 is 2 or 3 or 4. Black region is where 50% is.
The median for telephone in 2008 is 1. The 50% corresponds to the yellow region.
Hence the median is lower for
telephone (ANSWER). For both email and video, median is the same in both years i.e. 0.
It must be the case that the percentage of respondents who reported having communicated with patients by both ______ was as great or greater in the 2008 survey as it was in the 2000 survey.So we are looking for the overlap of two sets. We need this overlap to be higher or same in 2008 than in 2000.
In 2008, 80% physicians communicated via telephone with their patients. (all regions except white)
In 2008, 40% physicians communicated via email with their patients. (all regions except white)
Hence there must be an overlap of at least 20% here. 20% physicians must have communicated via both. Think Sets.
In 2000, 83% physicians communicated via telephone with their patients. (all regions except white)
In 2008, 18% physicians communicated via email with their patients. (all regions except white)
Is it even possible that 20% communicated via both? No. At the most only 18% could have communicated via both.
Hence answer is
telephone and email. ANSWERMaxsparrowWas it hard to arrive at this? Not at all. Notice the graph. The "communication regions" (yellow, black and blue in which the physician communicated at least once with the patients) for email are much higher in 2008 and the overlap is necessitated with telephone only because its communication region is very high. So you can straight away jump to "telephone and email" and evaluate that to know if it is the answer.
Check out the discussion on another graph here:
https://youtu.be/ilMxPjHNeic