Question: The data below represents the steak preferences for 412 individuals. Is there an association between Gender and Steak Preference? Answer the questions below: Rows: Gender

The data below represents the steak preferences for 412 individuals. Is there an association between Gender and Steak Preference? Answer the questions below:

Rows: Gender Columns: Steak Preference

Medium Medium Rare Medium Well Rare Well Total
Female 53 77 37 12 21 200
Male 74 81 33 10 14 212
Total 127 158 70 22 35 412

Chi-Square test:

Statistic DF Value P-value
Chi-square 4 5.0388565 0.2833

Round all percentages to 2 decimal places and all other calculations to 4 decimal places.

a) What percentage of the entire group prefer their steaks "well done"? Be sure to round this percentage to two decimal places.

b) If there is no association between Gender and Steak Preference, then we would expect 16.9903 females to prefer their steaks well done? With this in mind, what is the expected number of males who prefer their steaks well done?

c) Is there sufficient evidence to say that a relationship exists between gender and steak preference? Yes or no?

d) What type of error is possible as a result of this hypothesis test? Type 1 or Type 2?

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