a Is there a statistical significance between males and fema

a.) Is there a statistical significance between males and females eating at McDonalds?

b.) Run a chi-square test and display results

c.) what is the alpha value

Male Female Site (1) Grimes 6pm - 7pm (Tues) 1611 Site (2) Johnston 8pm -9pm (Wed 1218 Site (3) Ankeny 5pm- 6pm (Fri) 21 12 Site (4) Urbandale 8pm -9pm (Sur 15 14 Male Female Overall Total 119 Total Mean 64 53.7815 46.2185

Solution

a)

Doing an Expected Value Chart,          
          
14.5210084   12.4789916  
16.13445378   13.86554622  
17.74789916   15.25210084  
15.59663866   13.40336134  
          
Using chi^2 = Sum[(O - E)^2/E],          
          
chi^2 =    3.956915168      
          
With df = (a - 1)(b - 1), where a and b are the number of categories of each variable,          
          
a =    2      
b =    4      
          
df =    3      
          
Thus, the critical value is          
          
significance level =    0.05      
          
chi^2(critical) =    7.814727903      
          
Also, the p value is          
          
P =    0.266154255      
          
As chi^2 < 7.8147, and P > 0.05, we   FAIL TO REJECT THE NULL HYPOTHESIS.      
          
Thus, there is no significant evidence that there is a difference between the proportions of males and females eating at McDonalds. [ANSWER, A]

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b)

See above for the calculations.

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c)

Here, we have set the alpha value to 0.05. [ANSWER]