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805+ (Hard)|   Tables|                  
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Official Explanation

For each of the following conclusions, select Supported if it is supported by the information in the table. Otherwise select Not supported.

Explanation

A majority of the respondents believe adding a website could benefit their businesses.

Adding the percentages in the "No benefit" and "Uncertain" rows for each group shows that the total percent of respondents who indicated that adding a website could not benefit their businesses or that they were uncertain whether adding a website would benefit their businesses was at most 37%—far less than 50%. This suggests that a majority of the respondents in each group, and thus a majority of all the respondents, believe that adding a website could benefit their businesses.

The correct answer is Supported.

Fewer than 25% of the respondents who believe a website could help expand their customer base also believe a website could help them maintain their current market share.

Each percentage in the "Preserve market share" row is less than one-fourth (25%) of the percentage in the same column in the "Expand customer base" row. Thus, the survey results suggest that the number of respondents who believe that adding a website could help them maintain their current market share is less than 25% of the number of respondents who believe that adding a website could help expand their customer base.

The correct answer is Supported.

Only a small proportion of the respondents are concerned that they are losing market share.

The "Preserve market share" row only lists the percentages of respondents who indicated that adding a website would help them preserve market share. Far more of the respondents may be concerned that they are losing market share, but nonetheless doubt that adding a website would help solve that problem.

The correct answer is Not Supported.
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­1. A majority of the respondents believe adding a website could benefit their businesses. => Supported

By a quick look, we can see that for each ethnic group, the total for [No Benefit] + [Uncertain] is less than 50%
=> That means [Benefit] > 50%


2. Fewer than 25% of the respondents who believe a website could help expand their customer base also believe a website could help them maintain their current market share. => Supported
 
For [Preserve market share] category, 4x of each ethnic group is
  • Latino: 24% < 26% in [Expand customer base]
  • African: 24% < 29%
  • Asian: 16% < 25%
  • Native: 24% < 25%
That means even all those in [Preserve market share] categor are also in [Expand customer base] category, that doesn't add up to 25% (or in other words, fewer than 25%)


3. Only a small proportion of the respondents are concerned that they are losing market share. => Not supported

Losing market share is not mentioned anywhere
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How does one calculate these percentages nad not exceed the 2.5 mins goal, suhc as 26% 459, etc, I could try approximations but how much can I approximate so that I don't get the wrong answer?

As shown HERE, you don't really need to calculate that at all.
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Question 3



“Losing market share” is not a category in the table at all. You cannot support this statement from the data





Please note the distinction between question 2 and 3

Fewer than 25% of the respondents who believe a website could help expand their customer base also believe a website could help them maintain their current market share.
Only a small proportion of the respondents are concerned that they are losing market share.


2 says maintain their current market share. - data of which is there in table

3 says losing market share, data of which is not there in table and hence not supported





@varunbharadwaj also gave a good explanation

The potential benefit listed is Preserve market share NOT Losing or Gaining market share.People gave opinion about only preserving market share not gaining or losing it.Information about losing market share is not available.

We only know that 94 % (100 - 6%) people think otherwise that Potential benefit is Gaining, Losing,Cant say etc .But we can find values of individuals.
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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.

Potential benefitLatino (459
respondents)
African American
(394 respondents)
Asian American
(438 respondents)
Native American
(279 respondents)
Expand customer base26%29%25%25%
Improve communication15%4%4%6%
Increase customer satisfaction5%17%28%6%
Increase ratio of profits to costs14%19%17%19%
Increase tax savings0%1%0%0%
Preserve market share6%6%4%6%
Save time4%3%13%2%
Other3%3%5%4%
No benefit27%17%22%21%
Uncertain10%11%13%10%

For each of the following conclusions, select Supported if it is supported by the information in the table. Otherwise select Not supported

ID: 100425
Stmt 1:
A majority of the respondents believe adding a website could benefit their businesses.
Supported
We see No benefit <50% each of categories of respondents.


Stmt 2:
Fewer than 25% of the respondents who believe a website could help expand their customer base also believe a website could help them maintain their current market share.
Supported



Potential benefitLatino (459
respondents)
African American
(394 respondents)
Asian American
(438 respondents)
Native American
(279 respondents)
Expand customer base26%29%25%25%
Improve communication15%4%4%6%
Increase customer satisfaction5%17%28%6%
Increase ratio of profits to costs14%19%17%19%
Increase tax savings0%1%0%0%
Preserve market share6%6%4%6%
Save time4%3%13%2%
Other3%3%5%4%
No benefit27%17%22%21%
Uncertain10%11%13%10%

Case 1:

Let's say there's no common respondent between "Expand customer base" and "Preserve market share"
In that case definitely we can say fewer than 25%...

Case 2:
Let's say maximum common respondents

Expand customer base, 25% of each category: 26/4 = 6.5, 29/4 = 7.25, 25/4 = 6.25, 25/4 = 6.25
Preserve market share 6, 6, 4, 6

Clearly
Fewer than 25% of the respondents who believe a website could help expand their customer base also believe a website could help them maintain their current market share.

Stmt 3:
Only a small proportion of the respondents are concerned that they are losing market share.
Not Supported
What is small proportion, also preserving doesn't mean concern for loosing
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