American vs European Billionaires

Preregistration of analyses

Analysis #1

• How do billionaires in the year 2014 between North America and Europe differ in the industries they work in?

  • break up by different sectors/industries of wealth and write hypothesis test for each

  • for overall worth in billions do average between America and Europe –>

  • Null: The mean of billionaires net worth is not different between industries in North American and Europe in 2014.

  • Alternative: The mean of billionaires net worth is different between industries in North American and Europe in 2014.

• \[ H_0:\mu_A-\mu_E=0 \] \[ H_A:\mu_A-\mu_E \neq 0 \]

• What is the difference in proportion of billionaires that work in media industries between North America and Europe in the year 2014?

  • Null: The proportions of billionaires that work in media industries is not different between North America and Europe in the year 2014.

  • Alternative: The proportions of billionaires that work in media industries is different between North America and Europe in the year 2014.

    \[ H_0: p_A-p_E = 0 \]

    \[ H_A:p_A-p_E \neq 0 \]

  • In this case, pA would be the proportion of billionaires that work in media industries in North America, while pE would be the proportion of billionaires that work in media industries in Europe.

Analysis #2

• What is the difference between North American and European billionaires’ net worth?

  • Null: The mean of billionaires net worth is not different between North American and Europe.

  • Alternative: The mean of billionaires net worth is different between North American and Europe. \[H_0: \mu_A-\mu_E = 0 \] \[ H_A:\mu_A-\mu_E \neq 0 \]