A company that designs websites primarily for minority-owned businesses conducted a survey of minority-owned businesses in the United States that do not currently have a website. The survey was designed to help determine what respondents see as the potential benefits of adding a website. The results of that survey are shown in the table.
please see attachment
Question
For each of the following conclusions, select Supported if it is supported by the information in the table. Otherwise select Not supported.
please see attachment
Spoiler: OA
1. Supported
2. Supported
3. Not supported
___________________________________________________
I have some problems with Question 2……
Preserve Market Share(PMS) : 28 Respondents
Expand Customer Base (ECB): 30 Respondents
How can we assume that ‘’fewer than 25% of 459*26%(119)—or say, in ECB, fewer than 30 also ‘’all’’ believe can PMS….??”
Is there anything I miss out?
Here’s my question point
If we try to solve/understand question2 from the opposite side
1.
Less than 25%-if here we assume maybe it’s “20%”
Then 459*26%=119
119*20%=23.8 ,after rounding it's 24
24people are also all included in the set of group which believe can maintain their market share(459*0.06=28), well, this maybe true/established
However, there’s a possibility that all these 24people also belong to a group of people who ‘’all’’ did not believe can maintain their market share-then question2’s assumption will be denied
2.
Besides, if the number just fall on ‘’29’’ people, then obviously these 29 people cannot ‘’all’’ be included in ‘’28’’ people of PMS
3.
As EMPOWERgmatRichC says
Preserve Market Share(PMS) : 28 Respondents
Expand Customer Base (ECB): 30 Respondents
In simple terms, is 28 less than 30? YES - it clearly is. This does not change regardless of the number of people who are in "both" groups because the overall totals (28 and 30) will still be the same. You are given EXACT data/numbers to work with here, and no 'hypothetical' situation changes those numbers.
If you add up all of the percentages in the first column, you end up with a total of 110%. That would not happen if each person chose just one reason. Thus, some of those people chose 2 (or more) reasons.-however, will the overlapping must be occur in ECB&PMS , not in other categories???maybe ECB&PMS do not overlap between each us…this is also a possibility
As Spoiler OA, I saw somebody said that Official answer is ‘supported’, well, like other students, I’m really confused about this Official answer, what’s its logic to support this statement as true ,how can you categorically assume this assumption to be true/supported????