Suppose you have the following information on whether households have a landline phone or not, broken down by age of “Household Heads.”  A sample of 500 households was drawn in each of two communities (a) What is the overall (or “crude”) proportion of households in Community A that had a landline phone?  What is the corresponding proportion in Community B?    (b) What is the set of age-specific household landline rates for each community – that is, the rate within each age of household head category (<35 and 35+ hours, separately) for each community (A vs. B)?     (c) Please compare the age-specific landline rates of Community A vs. Community B and then compare the overall rates of the two communities.  Please “make sense” of the two different stories that these two measures imply.  Put differently, please “weave” these different results into one explanation that helps us understand landline use rates in these two communities.

College Algebra
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ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter9: Sequences, Probability And Counting Theory
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Suppose you have the following information on whether households have a landline phone or not, broken down by age of “Household Heads.”  A sample of 500 households was drawn in each of two communities

(a) What is the overall (or “crude”) proportion of households in Community A that had a landline phone?  What is the corresponding proportion in Community B? 

 

(b) What is the set of age-specific household landline rates for each community – that is, the rate within each age of household head category (<35 and 35+ hours, separately) for each community (A vs. B)?  

 

(c) Please compare the age-specific landline rates of Community A vs. Community B and then compare the overall rates of the two communities.  Please “make sense” of the two different stories that these two measures imply.  Put differently, please “weave” these different results into one explanation that helps us understand landline use rates in these two communities. 

 

COMMUNITYA
COMMUNITYB
Age of
Household
<35
35+
<35
35+
Head:
No. of
200
300
300
200
households
No. of
households with
40
150
бо
100
a landline phone
Transcribed Image Text:COMMUNITYA COMMUNITYB Age of Household <35 35+ <35 35+ Head: No. of 200 300 300 200 households No. of households with 40 150 бо 100 a landline phone
Expert Solution
Step 1

Given data 

Sample size, n=500

    Community A   Community B
  Age of Household Head <35 35+   <35 35+
             
No. of households   200 300   300 200
No. of households with a landline phone    40 150   60 100

Let A denote Community A.

Let B denote Community B.

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