This data is from the Gallup poll Write the null and alterna

This data is from the Gallup poll. Write the null and alternate hypothesis for this test. Then, run a chi-square test of independence and write a summary of your findings to determine if abortion beliefs are related to gender.

Pro Life

Pro Choice

Total

Men

196

199

395

Women

239

249

488

Total

435

448

883

Solution

Doing an Expected Value Chart,          
          
194.592299   200.407701  
240.407701   247.592299  
          
Using chi^2 = Sum[(O - E)^2/E],          
          
chi^2 =    0.036317736      
          
With df = (a - 1)(b - 1), where a and b are the number of categories of each variable,          
          
a =    2      
b =    2      
          
df =    1      
          
Thus, the critical value is          
          
significance level =    0.05      
          
chi^2(critical) =    3.841458821      
          
Thus, comparing chi^2 < chi^2(crit) [or, p >0.05], we   FAIL TO REJECT THE NULL HYPOTHESIS.      
          
Thus, there is no significant evidence that abortion beliefs are related to gender at 0.05 level. [CONCLUSION]