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 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 dont understand what to on this page

You are just converting from raw numbers to percents. On the first one, it asks for row relative, so divide 40/90 • 100 (%) and round to 44. Do this for all the top row, and divide by 110 to get bottom row Next questions just use the data you found.

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?

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alanyusanchez
Posted 6 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?
(0 votes)
Answer
- miahf23854
  Posted 6 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
  (4 votes)
Dodge/Ram.Cummins.2ndGen
Posted 2 months ago. Direct link to Dodge/Ram.Cummins.2ndGen's post “I agree with big daddy”
I agree with big daddy
(2 votes)
Answer
akhilandy.24
Posted 4 years ago. Direct link to akhilandy.24'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.
(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.
  (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
(0 votes)
Answer
- David Severin
  Posted 6 years ago. Direct link to David Severin's post “You are just converting f...”
  You are just converting from raw numbers to percents.
  On the first one, it asks for row relative, so divide 40/90 • 100 (%) and round to 44. Do this for all the top row, and divide by 110 to get bottom row
  Next questions just use the data you found.
  (3 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?
(1 vote)
Answer
daddy brooks
Posted 7 hours ago. Direct link to daddy brooks's post “this is dumb and should b...”
this is dumb and should be no longer possible this is the worst part of my dad every day,i always start getting sad when i do map acc and i always want to trow up i want it sent to the grave yard
Love Brooks
(1 vote)
Answer
Mathew Sharyn
Posted 3 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?
(1 vote)
Answer
louisaandgreta
Posted a year ago. Direct link to louisaandgreta's post ““We saw that 40% of males...”
“We saw that 40% of males had a negative opinion of housing, while about 51% of females had a negative opinion of housing.”

Again how can you compare data that’s in a column when this is a row relative frequency table?
(1 vote)
Answer
nihal.al.dibany
Posted 3 years ago. Direct link to nihal.al.dibany's post “Frankely I am confused re...”
Frankely I am confused regarding to the relationship in the relative frequency.
for last question, why we said that there are association although we are dealt with percent?
(1 vote)
Answer
Roslyn Goulding
Posted 2 years ago. Direct link to Roslyn Goulding's post “If a question were to ask...”
If a question were to ask,"what is the probability that a randomly selected person was male and had a non-positive opinion?" How would one answer this
(1 vote)
Answer
- Aiena
  Posted 2 years ago. Direct link to Aiena's post “Hi Roslyn, When you say ...”
  Hi Roslyn,
  
  When you say non-positive opinion, do you mean all people who have a positive AND neutral opinion?
  Please clarify, and I'll be happy to help.
  
  Aiena.
  (1 vote)

Statistics and probability

Unit 1: Lesson 2

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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