when we say 'there is no association between gender and opinion' does this mean the percentages should be equal to make the statement true? or are there exceptions like plus/minus a certain variance?

i think so, because when you say "there is an association between gender and opinion" it means that different genders have different opinions...based on the table, anyway

I dont understand what to on this page

What he means is that for the first row, the total 90 people is your 100%. Divide 14 by 90 to find what percent for neutral opinion for males. If it is a long decimal, round it. Then use the table that you completed to answer the questions below.

I answered 50.91% and was made wrong but 51% is correct. I am little surprised with that as it was not asked that answer need to in whole numbers.

“Round… …to the nearest percent”: This also means “round to the whole percent.”

The sample size is a bit small imo to conclude that there is an association between campus opinion and gender and the margin between the percentages aren't that large.

Hi Zepper, For us to say the sample size is "small" or "adequate" or "good" etc., we need to know what is is total number of male and female students in the university. We do not have this information; hence, we cannot say anything about our sample size in the above example. We'll learn in detail about this in our Statistics class. If you're interested, read the below article- https://en.m.wikipedia.org/wiki/Sample_size_determination I hope this helped. Aiena.

I don't get how we can conclusively establish an association here, doesn't the fact that there are more female respondents in the sample make the comparison of relative frequencies biased.

Great question Akhil :-) Now, if you randomly take 100 of those male and 100 of those female students, 40 of the male students will have a negative opinion and 51 female students will have a negative opinion of campus housing. Although we have 90 males and 110 females, percentages can still help us draw conclusions. Pay attention to the word "Association", which means you can relate them/ compare them (after you've converted them in a percentage form). I hope this helped. Aiena.

Main content

Two-way relative frequency tables and associations

Google Classroom

Two-way relative frequency tables show us percentages rather than counts. They are good for seeing if there is an association between two variables.

Part 1: Making a relative frequency table

A university surveyed its

200

students on their opinions of campus housing.

Convert the two-way frequency table of the data into a two-way table of row relative frequencies.
(If necessary, round your answers to the nearest percent.)

Gender	Positive opinion	Negative opinion	Neutral opinion	TOTAL
Male	$40$ ‍	$36$ ‍	$14$ ‍	$90$ ‍
Female	$42$ ‍	$56$ ‍	$12$ ‍	$110$ ‍
TOTAL	$82$ ‍	$92$ ‍	$26$ ‍	$200$ ‍

Gender	Positive opinion	Negative opinion	Neutral opinion	TOTAL
Male	Your answer should be an integer, like $6$ ‍ a simplified proper fraction, like $3 / 5$ ‍ a simplified improper fraction, like $7 / 4$ ‍ a mixed number, like $1 3 / 4$ ‍ an exact decimal, like $0.75$ ‍ a multiple of pi, like $12 pi$ ‍ or $2 / 3 pi$ ‍ $%$ ‍	Your answer should be an integer, like $6$ ‍ a simplified proper fraction, like $3 / 5$ ‍ a simplified improper fraction, like $7 / 4$ ‍ a mixed number, like $1 3 / 4$ ‍ an exact decimal, like $0.75$ ‍ a multiple of pi, like $12 pi$ ‍ or $2 / 3 pi$ ‍ $%$ ‍	Your answer should be an integer, like $6$ ‍ a simplified proper fraction, like $3 / 5$ ‍ a simplified improper fraction, like $7 / 4$ ‍ a mixed number, like $1 3 / 4$ ‍ an exact decimal, like $0.75$ ‍ a multiple of pi, like $12 pi$ ‍ or $2 / 3 pi$ ‍ $%$ ‍	$100 %$ ‍
Female	Your answer should be an integer, like $6$ ‍ a simplified proper fraction, like $3 / 5$ ‍ a simplified improper fraction, like $7 / 4$ ‍ a mixed number, like $1 3 / 4$ ‍ an exact decimal, like $0.75$ ‍ a multiple of pi, like $12 pi$ ‍ or $2 / 3 pi$ ‍ $%$ ‍	Your answer should be an integer, like $6$ ‍ a simplified proper fraction, like $3 / 5$ ‍ a simplified improper fraction, like $7 / 4$ ‍ a mixed number, like $1 3 / 4$ ‍ an exact decimal, like $0.75$ ‍ a multiple of pi, like $12 pi$ ‍ or $2 / 3 pi$ ‍ $%$ ‍	Your answer should be an integer, like $6$ ‍ a simplified proper fraction, like $3 / 5$ ‍ a simplified improper fraction, like $7 / 4$ ‍ a mixed number, like $1 3 / 4$ ‍ an exact decimal, like $0.75$ ‍ a multiple of pi, like $12 pi$ ‍ or $2 / 3 pi$ ‍ $%$ ‍	$100 %$ ‍

Part 2: Reading a relative frequency table

problem a

What percent of males had a negative opinion of campus housing?
Round your answer to the nearest percent.

problem b

What percent of females had a negative opinion of campus housing?
Round your answer to the nearest percent.

Part 3: Seeing a relationship in a two-way relative frequency table

Based on the relative frequencies from above, which is a valid conclusion about the relationship between gender and opinion in this data?

(Choice A)
There is an association between gender and opinion. Males are more likely to have a negative opinion of campus housing.
(Choice B)
There is an association between gender and opinion. Females are more likely to have a negative opinion of campus housing.
(Choice C)
There is no association between gender and opinion.

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alanyusanchez
Posted 8 years ago. Direct link to alanyusanchez's post “when we say 'there is no ...”
when we say 'there is no association between gender and opinion' does this mean the percentages should be equal to make the statement true? or are there exceptions like plus/minus a certain variance?
Button navigates to signup pageComment on alanyusanchez's post “when we say 'there is no ...”
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- miahf23854
  Posted 8 years ago. Direct link to miahf23854's post “i think so, because when ...”
  i think so, because when you say "there is an association between gender and opinion" it means that different genders have different opinions...based on the table, anyway
  Button navigates to signup page
  (6 votes)
Salah
Posted 7 years ago. Direct link to Salah's post “I dont understand what to...”
I dont understand what to on this page
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(5 votes)
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- I'm not sure, please try again later
  Posted 7 years ago. Direct link to I'm not sure, please try again later's post “What he means is that for...”
  What he means is that for the first row, the total 90 people is your 100%. Divide 14 by 90 to find what percent for neutral opinion for males. If it is a long decimal, round it. Then use the table that you completed to answer the questions below.
  Button navigates to signup page
  (11 votes)
laveshagrawal
Posted 8 months ago. Direct link to laveshagrawal's post “I answered 50.91% and was...”
I answered 50.91% and was made wrong but 51% is correct. I am little surprised with that as it was not asked that answer need to in whole numbers.
Button navigates to signup pageComment on laveshagrawal's post “I answered 50.91% and was...”
(3 votes)
Answer
- millsk
  Posted 8 months ago. Direct link to millsk's post ““Round… …to the nearest p...”
  “Round… …to the nearest percent”: This also means “round to the whole percent.”
  Button navigates to signup page
  (13 votes)
akhil.andr3ws
Posted 6 years ago. Direct link to akhil.andr3ws's post “I don't get how we can co...”
I don't get how we can conclusively establish an association here, doesn't the fact that there are more female respondents in the sample make the comparison of relative frequencies biased.
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(1 vote)
Answer
- Aiena
  Posted 5 years ago. Direct link to Aiena's post “Great question Akhil :-) ...”
  Great question Akhil :-)
  
  Now, if you randomly take 100 of those male and 100 of those female students, 40 of the male students will have a negative opinion and 51 female students will have a negative opinion of campus housing.
  
  Although we have 90 males and 110 females, percentages can still help us draw conclusions. Pay attention to the word "Association", which means you can relate them/ compare them (after you've converted them in a percentage form).
  
  I hope this helped.
  
  Aiena.
  Button navigates to signup page
  (12 votes)
Ford.Powerstroke.Alumiduty
Posted a year ago. Direct link to Ford.Powerstroke.Alumiduty's post “I agree with big daddy”
I agree with big daddy
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(6 votes)
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mcqueedd7331
Posted 5 years ago. Direct link to mcqueedd7331's post “im obama and im a good ob...”
im obama and im a good obama
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(5 votes)
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ZepperIncorporated
Posted 6 years ago. Direct link to ZepperIncorporated's post “The sample size is a bit ...”
The sample size is a bit small imo to conclude that there is an association between campus opinion and gender and the margin between the percentages aren't that large.
Button navigates to signup pageComment on ZepperIncorporated's post “The sample size is a bit ...”
(2 votes)
Answer
- Aiena
  Posted 5 years ago. Direct link to Aiena's post “Hi Zepper, For us to say...”
  Hi Zepper,
  
  For us to say the sample size is "small" or "adequate" or "good" etc., we need to know what is is total number of male and female students in the university.
  
  We do not have this information; hence, we cannot say anything about our sample size in the above example.
  
  We'll learn in detail about this in our Statistics class. If you're interested, read the below article-
  https://en.m.wikipedia.org/wiki/Sample_size_determination
  
  I hope this helped.
  
  Aiena.
  Button navigates to signup page
  (5 votes)
ICEAGE BABYYYYYYY!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Posted 4 years ago. Direct link to ICEAGE BABYYYYYYY!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!'s post “Why? Is my question just ...”
Why? Is my question just why
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(4 votes)
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elikramer2022
Posted 6 years ago. Direct link to elikramer2022's post “What is the point of this...”
What is the point of this page?
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Mathew Sharyn
Posted 4 years ago. Direct link to Mathew Sharyn's post “So when there is an assoc...”
So when there is an association based off of the gender and the opinion the reason why females were the answer is because there percentage was higher?
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Statistics and probability

Course: Statistics and probability > Unit 1

Part 1: Making a relative frequency table

Part 2: Reading a relative frequency table

Part 3: Seeing a relationship in a two-way relative frequency table

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