Question

You have collected data on voters and their recent voting habits. You sample 174 Republicans, 167 Democrats, and 113 Independents (which you have determined to be a reasonable representation of the party-affiliation of voters in your region of interest). The resulting contingency table for your results is provided:

Party Affiliation |
Voted | |
---|---|---|

Yes | No | |

Republican | 69 | 105 |

Democrat | 78 | 89 |

Independent | 66 | 47 |

Construct the conditional distribution of the voting habits by
party affiliation:

Party Affiliation |
Voted | |
---|---|---|

Yes | No | |

Republican | ||

Democrat | ||

Independent |

For comparison purposes, calculate the relative frequency marginal
distribution for voting habits:

Voted | |
---|---|

Yes | No |

Though you do not need to answer it here, what is the association
between voting habits and party affiliation?

Answer #1

dividing each value by row total:

conditional distribution of the voting habits by party affiliation :

Yes | No | |

Republican | 0.3966 | 0.6034 |

Democrat | 0.4671 | 0.5329 |

Independent | 0.5841 | 0.4159 |

relative frequency marginal distribution for voting habits :

Yes | No | ||

total | 0.4692 | 0.5308 |

there appear to be an association between voting habits and party affiliation

repulican is least likely to vote while independent category people are most likely to vote

The data below represents the gender and political affiliation
of 100 randomly selected voters at a voting site. Suppose you
select a voter at random from this sample. Answer the following
questions.
Women
Men
Republicans
22
28
Democrats
23
14
Independents
5
8
1. What is the probability that you select a man? Use
cell references to find your answers.
a.Number of Men
b.Total Number of Voters
c.Probability of Selecting a Man
2. What is the probability of selecting a...

Bivariate Data & Probability
After completing the calculation by hand in Q1 you can use
Excel to check your answers before submitting. Q2 assesses your
general understanding of probability and linear associations using
Excel to analyse a large dataset.
Question 1
Covariance and Correlation
The table below shows a set of sample bivariate data. Calculate
the covariance and correlation coefficient by completing the below
table. Show all working.
X
Y
(X - )
(Y - )
(X - )(Y -...

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