A researcher wants to know if more average income in a country is associated with more trust in government. They measure both variables and find that r = .52, with p = .01. But then they wonder if that correlation is actually a by-product of the fact that greater corruption in a country predicts both less average income and less trust. They compute a partial correlation between income and trust, partialling out corruption. They find the partial r = .11, with p = .34. Using a two-tailed α = .05, what is their substantive conclusion?   A) In a two-variable correlation, greater income predicts greater trust in government. This relationship continues to be true even partialling out corruption   B) In a two-variable correlation, greater income predicts greater trust in government. But when partialling out corruption, there is no longer a relationship between income and trust   C) At no point is there is a correlation between average income and trust, whether considering a two-variable correlation or a partial correlation   D) There is not enough information given to determine what their conclusion was.

A First Course in Probability (10th Edition)
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ISBN:9780134753119
Author:Sheldon Ross
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Chapter1: Combinatorial Analysis
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Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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A researcher wants to know if more average income in a country is associated with more trust in government. They measure both variables and find that r = .52, with p = .01. But then they wonder if that correlation is actually a by-product of the fact that greater corruption in a country predicts both less average income and less trust. They compute a partial correlation between income and trust, partialling out corruption. They find the partial r = .11, with p = .34. Using a two-tailed α = .05, what is their substantive conclusion?

  A)

In a two-variable correlation, greater income predicts greater trust in government. This relationship continues to be true even partialling out corruption

  B)

In a two-variable correlation, greater income predicts greater trust in government. But when partialling out corruption, there is no longer a relationship between income and trust

  C)

At no point is there is a correlation between average income and trust, whether considering a two-variable correlation or a partial correlation

  D)

There is not enough information given to determine what their conclusion was.

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