We have two percentages and we want to know if they are statistically different. We calculate our z and find that it is 4.21 at a 95% level of confidence. This means:
A) the two percentages are the same.
B) the two percentages are not statistically different.
C) the two percentages have a 421 percent chance of not being different.
D) the two percentage are statistically different.
E) the two percentages have a 421 percent chance of being different.

Question

Quizplus · Accepted Answer

A z-score of 4.21 corresponds to a p-value of approximately 0.00002 (based on a standard normal distribution). Since this p-value is less than 0.05 (the threshold for significance at 95% confidence), we can reject the null hypothesis that the two percentages are the same, and conclude that they are statistically different.

We Have Two Percentages and We Want to Know If