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.

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.

I don't have many questions but to what extent will their be no relation between the two percents, in this case the genders.

the blank gender is supreme tell me your thoughts children

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, slash, 5 a simplified improper fraction, like 7, slash, 4 a mixed number, like 1, space, 3, slash, 4 an exact decimal, like 0, point, 75 a multiple of pi, like 12, space, start text, p, i, end text or 2, slash, 3, space, start text, p, i, end text percent	Your answer should be an integer, like 6 a simplified proper fraction, like 3, slash, 5 a simplified improper fraction, like 7, slash, 4 a mixed number, like 1, space, 3, slash, 4 an exact decimal, like 0, point, 75 a multiple of pi, like 12, space, start text, p, i, end text or 2, slash, 3, space, start text, p, i, end text percent	Your answer should be an integer, like 6 a simplified proper fraction, like 3, slash, 5 a simplified improper fraction, like 7, slash, 4 a mixed number, like 1, space, 3, slash, 4 an exact decimal, like 0, point, 75 a multiple of pi, like 12, space, start text, p, i, end text or 2, slash, 3, space, start text, p, i, end text percent	100, percent
Female	Your answer should be an integer, like 6 a simplified proper fraction, like 3, slash, 5 a simplified improper fraction, like 7, slash, 4 a mixed number, like 1, space, 3, slash, 4 an exact decimal, like 0, point, 75 a multiple of pi, like 12, space, start text, p, i, end text or 2, slash, 3, space, start text, p, i, end text percent	Your answer should be an integer, like 6 a simplified proper fraction, like 3, slash, 5 a simplified improper fraction, like 7, slash, 4 a mixed number, like 1, space, 3, slash, 4 an exact decimal, like 0, point, 75 a multiple of pi, like 12, space, start text, p, i, end text or 2, slash, 3, space, start text, p, i, end text percent	Your answer should be an integer, like 6 a simplified proper fraction, like 3, slash, 5 a simplified improper fraction, like 7, slash, 4 a mixed number, like 1, space, 3, slash, 4 an exact decimal, like 0, point, 75 a multiple of pi, like 12, space, start text, p, i, end text or 2, slash, 3, space, start text, p, i, end text percent	100, percent

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 7 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 ...”
(22 votes)
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- miahf23854
  Posted 7 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
  (4 votes)
Salah
Posted 6 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 6 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)
ICEAGE BABYYYYYYY!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Posted 3 years ago. Direct link to ICEAGE BABYYYYYYY!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!'s post “Why? Is my question just ...”
Why? Is my question just why
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Ford.Powerstroke.Alumiduty
Posted 6 months ago. Direct link to Ford.Powerstroke.Alumiduty's post “I agree with big daddy”
I agree with big daddy
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elikramer2022
Posted 5 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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(3 votes)
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ZepperIncorporated
Posted 5 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 ...”
(1 vote)
Answer
- Aiena
  Posted 4 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
  (4 votes)
akhil.andr3ws
Posted 5 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.
Button navigates to signup pageButton navigates to signup page
(0 votes)
Answer
- Aiena
  Posted 4 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
  (4 votes)
Bridget Wells
Posted 5 years ago. Direct link to Bridget Wells's post “So, my question is, how w...”
So, my question is, how would we answer questions about a relative frequency table that already has the percentages calculated? For example, what is the probability that a university student has a negative opinion about university housing given that the student is male? If I've already calculated all the percentages, would I just take the probability that is at the intersection of male and negative opinion? Or would that be an "and"/"intersection" answer?
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(2 votes)
Answer
- Ian Pulizzotto
  Posted 5 years ago. Direct link to Ian Pulizzotto's post “You would need to divide ...”
  You would need to divide the probability of the intersection of male and negative opinion, by the probability of male, because of the word "given".
  
  Note that "given" is different from "and".
  P(A and B) = P(A intersect B), but P(A given B) = P(A intersect B)/P(B).
  
  Have a blessed, wonderful day!
  Button navigates to signup page
  (0 votes)
91105796
Posted 5 years ago. Direct link to 91105796'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?
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(1 vote)
Answer
Ramon Partida
Posted 6 years ago. Direct link to Ramon Partida's post “I don't have many questio...”
I don't have many questions but to what extent will their be no relation between the two percents, in this case the genders.
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(0 votes)
Answer
- yung gay
  Posted 5 years ago. Direct link to yung gay's post “the blank gender is supre...”
  the blank gender is supreme tell me your thoughts children
  Button navigates to signup page
  (3 votes)

Statistics and probability

Course: Statistics and probability > Unit 1

Two-way relative frequency tables and associations

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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