Question

The owner of a local golf course wants to examine the difference between the average ages of males and females that play on the golf course. Specifically, he wants to test if the average age of males is greater than the average age of females. If the owner conducts a hypothesis test for two independent samples and calculates a p-value of 0.0095, what is the appropriate conclusion

Answer 1

Result is significant ; hence we can conclude that the average age of male is greater than that of females.

Explanation:

Given that:

Let :

u1 = mean age of male

u2 = mean age of female

Null hypothesis : H0 : u1 = u2

Alternative hypothesis : H1 : u1 > u2

P value for hypothesis test conducted = 0.0095

Using a significant level α 0.05 or 0.01, :

The P value < α

Since, the P-value is less than α, then the result is significant and we thus we can reject the Null and conclude that the average age of males is greater Than that of females that play on the golf course.