Question

You are examining if people like Coke or Pepsi equally. The p value came out to be .03. Interpret this number (and explain as clearly as you could without using statistical jargon). Will your interpretation be any different if the p value had been .06 instead of .03? Please explain. What are all the null and alternate hypotheses in this case?

Answer 1

here null hypothesis: p1=p2 (where p1 and p2 are proporiton of people using Coke and Pepsi respectively

alternate hypothesis: p1p2

here p value =0.03 represent ; probability of having proportion difference as received by samples or more extreme if people like Coke or Pepsi equally.

as probability of that is less then 0.05 ; we can reject null and conclude that people like Coke or Pepsi differntly/

for  p value =0.06 represent ; probability of having proportion difference as received by samples or more extreme if people like Coke or Pepsi equally.

probability of that is more then 0.05 ; we can not reject null and do not have sufficient evidence to conclude that people like Coke or Pepsi differntly/