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Art [367]
3 years ago
11

According to Pew Research, the contact rate (probability of contacting a selected household) was 90% in 1997 and 62% in 2012. Ho

wever, the cooperation rate (probability of someone at the contacted household agreeing to be interviewed) was 43% in 1997 and dropped to 14% in 2012. (a) What is the probability (in 2012) of obtaining an interview with the next household on the sample list
Mathematics
1 answer:
nalin [4]3 years ago
3 0

Answer:

14% probability of obtaining an interview with the next household on the sample list

Step-by-step explanation:

Cooperation rate of 14%

This means that the probability of someone at the contacted household agreeing to be interviewed is 14%, and the probability of a person agreeing to be interviewed in a household is independent of what happened in other households, that is, for each household, there is a 14% probability of obtaining an interview.

14% probability of obtaining an interview with the next household on the sample list

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If n+h/5=f+9/9, then n/5=
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------------------------------------------------------------------
Question
------------------------------------------------------------------
\boxed { \frac{n+h}{5}  =  \frac{f+9}{9}}

------------------------------------------------------------------
Split the fraction on the left
------------------------------------------------------------------
\boxed { \frac{n}{5} + \frac{h}{5}  = \frac{f + 9}{9}}

------------------------------------------------------------------
Take away h/5 from both sides
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\boxed { \frac{n}{5}  = \frac{f+9}{9} - \frac{h}{5}}

------------------------------------------------------------------
Change the denominator to be the same
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\boxed { \frac{n}{5} = \frac{5f+45}{45} - \frac{9h}{45}}

------------------------------------------------------------------
Put it into single fraction
------------------------------------------------------------------
\boxed { \frac{n}{5} = \frac{5f+45-9h}{45} }

-------------------------------------------------------------------
Rearrange (This step may not be necessary)
------------------------------------------------------------------
\boxed {\frac{n}{5} = \frac{5f-9h+ 45}{45} }


\bf \Longrightarrow \ Answer \ : \boxed {\boxed {\frac{n}{5} = \frac{5f-9h+ 45}{45} }}

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