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In: Statistics and Probability

The Contingency Table below shows the results of 400 randomly selected Pizza Hut customers in Bellingham,...

The Contingency Table below shows the results of 400 randomly selected Pizza Hut customers in Bellingham, Washington in order to determine if there was significant relationship between their attitude toward anchovies and their political philosophy.

                                                                                       Attitude Toward Anchovies

Political Philosophy                                        Love Anchovies               Neutral                                Hate Anchovies

Anarchist                                                           15                                          20                           50

Radical                                                                0                                             0                             10

Liberal                                                                 2                                             20                           68

Moderate                                                          50                                          30                           10

Conservative                                                    73                                          50                           2

a………If there is no relationship between one’s political philosophy and one’s attitude toward anchovies, how many Conservatives would you expect to hate anchovies?

b……..If you used a Chi-Square Test to analyze this data, how many Degrees of Freedom would this model have?

c……..Compute the Chi-Square test statistic using the Chi-Square Test of Independence.

e……..If you set your α-level at 0.05, what was the Critical Value?

d……..True or False:

                At α = 0.05, there is a significant relationship between anchovy attitude and political philosophy.

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