Question

A social scientist is interested in determining if there is a significant difference in the proportion of Republicans between two areas of town. He takes independent random samples of 200 families in each area of town and a significance test was conducted. The p-value was 0.0156. What should be our conclusions?

Answer 1

Answer:

Given

p-value = 0.0156

n = 200 families

Our conclusion goes as follows:

The statistical evidence is pretty strong enough to conclude that there is a difference in the proportion of Republicans between the two areas of town because we know that small p­-value indicates significant differences, and a p­value of 0.0156 is pretty small to ascertain our conclusion.

Answer 2

Answer:

Given a p-value of 0.0156

n= 200

Since the p-value(0.0156) is less than 0.05, we can conclude that there is a difference in the proportion of republicans in the two areas.

A small p-value indicates significant difference and a p-value that is less than or equals (≤) 0.05 is small. In this case, the p-value 0.0156 is quite small. Therefore, we can say there is a significant difference.