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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