Conclusion

 

After running the two proportion z-test we calculated a p-value of .409.  This is a very large p-value meaning we could not disprove our null hypothesis, however if we continued our survey and got more responses or saw a larger difference in proportions develop we might be able to conclude that there is a difference in the true proportions of preference for ice cream preference between males and females at North Olmsted High School.  We fail to reject our null hypothesis at the significance level 0.05 because our p-value is .409 which is greater than 0.05.  This means that have insufficient data to prove that the true proportion of males who prefer vanilla ice cream differs from females who prefer vanilla ice cream.