Question

I have a group of 40 people that are suffering from headaches. I split them into two groups and gave the first group Aspirin and the second group Migraine medicine. There are 15 people in group one, 9 of them said that there headache where gone after taking the Aspirin. There are 25 people in group two that took the migraine medicine and 19 of them said that there headaches where gone. Is there significant evidence to say that the portion of people that felt better after taking the migraine medicine is great than the portion that took the Aspirin ?

40 people

Group one: 25 people 19 felt better

Group two: 15 people 9 felt better

Answer 1

For Group 1 who took Migraine medicine:

For Group 2 who took Aspirin:

Pooled proportion, =(X₁+X₂)/ (N₁+N₂) = (19 + 9)/(25+15) = 0.7

Null and Alternative Hypotheses

Test Statistics:

p-value = 0.1425

Decision:

As we can see the p value is high. And it will be greater than significance level() for most values of . So, it is concluded that the null hypothesis is not rejected.

Conclusion

It is concluded that the null hypothesis Ho is not rejected. Therefore, there is not enough evidence to claim that the portion of people that felt better after taking the migraine medicine is greater than the portion that took the Aspirin.