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ETC1000 - Business and economic statistics - S2 2025

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How do we write the probability that someone is unemployed given they are in the 15-19 age group? 

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100%
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Present the pivot table as "% of Column Total".

What is the probability that someone who is 15-19 years old is unemployed?

That is, what is ?

(Report as a probability to 4 decimal places, e.g. 0.6521)

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You have previously calculated the probability that someone is unemployed given they are in the age group 15-19 and the probability they are unemployed given they are in the age group 45-49. 

What do these two probabilities indicate about the possible relationship between employment status and age group?  

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Australia's unemployment rate for 15-19 year olds is 15%. If you were interested in comparing Timor-Leste's unemployment rate for 15-19 year olds with that in Australia, which presentation would be best for the pivot table?

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33%
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What is the marginal probability that someone is in the age group 35-39?

That is, what is

(Report as a probability to 4 decimal places, e.g. 0.6521)

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Present the pivot table as "% of Row Total".

You will see that the first entry is 58.61%. What is the interpretation of this value? 

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The values in the "% of Grand Total" pivot table can be interpreted as joint and marginal probabilities.

What is the joint probability that someone is in the age group 35-39 and unemployed?

That is, what is

(Report as a probability to 4 decimal places, e.g. 0.6521)

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Change the pivot table presentation to "% of Grand Total".

What percentage of men are employed? (Report to 2 decimal places and include appropriate units, e.g. 65.21%)

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Construct a pivot table with "Employed" down the rows and "Age Group" along the columns.

Which age group has the highest number of unemployed men?

Instructions

(1) Select the columns "A:E" and go to the tab "Insert" and click "Pivot Table".

(2) Put "Employed" in the "Row" area and "Age Group" in the columns area. Put "ID" (or other variable) in the "Values" area. 

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How many males tried the product? 

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