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 different from the average age of females. If the owner conducts a hypothesis test for two independent samples and calculates a p-value of 0.3318, what is the appropriate conclusion? Label males as group 1 and females as group 2.

Question 4 options:

1)	The average age of males is equal to the average age of females.

2)	We did not find enough evidence to say a significant difference exists between the average age of males and females.

3)	We did not find enough evidence to say the average age of males is larger than the average age of females.

4)	We did not find enough evidence to say the average age of males is less than the average age of females.

5)	The average age of males is significantly different from the average age of females.

Answer 1

Solution:

Claim: if the average age of males is different from the average age of females.

i.e.  _1    2

So the hypothesis are

H0:  ₁ =  ₂

Ha : _1    2

p value is 0.3318

This value of p value is greater than all generally used significance levels 0.01 , 0.05 or 0.1

p value is greater than significance level.

So , Do NOT reject the null hypothesis H0

Answer: We did not find enough evidence to say a significant difference exists between the average age of males and females.

Option 2 is correct