Question
In: Statistics and Probability
Write a one to two (1–2) page short paper in which you perform a Chi-square test...
Write a one to two (1–2) page short paper in which you perform a Chi-square test on data, present your findings and conclusion. Upload the paper in the coursework area. Hot Dogs Hamburgers Men 207 282 Women 231 38.
Solutions
Expert Solution
The following cross-tabulation have been provided. The row and column total have been calculated and they are shown below:
| Hot Dogs | Hamburgers | Total | |
| Men | 207 | 282 | 489 |
| Women | 231 | 38 | 269 |
| Total | 438 | 320 | 758 |
Null and Alternative Hypotheses
The following null and alternative hypotheses need to be tested:
H0: The two variables are independent
Ha: The two variables are dependent
This corresponds to a Chi-Square test of independence.
At 5% level of significance
Rejection Region
Based on the information provided, the significance level is α=0.05 , the number of degrees of freedom is df=(2−1)×(2−1)=1, so then the rejection region for this test is R={χ2:χ2>3.841}.
Conclusion
It is concluded that the null hypothesis Ho is rejected. Therefore, there is enough evidence to claim that the two variables are dependent, at the 0.05 significance level.
The corresponding p-value for the test is p=Pr(χ12>134.874)=0
We reject H0 at every level of significance. Hence we can conclude that the variables (gender and type of food preference) are dependent.
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orchestra answered 2 years agoRelated Solutions
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