Q₂₅. (1 mark) A researcher is interested in whether union workers earned significantly higher wages than nonunion workers last year. She interviewed 10 union workers and 20 nonunion workers, and their wages are shown below:

sample size

sample mean

sample SD

union

10

20.5

2.0

nonunion

20

15.5

4.0

(Unit used: CAD)

Test the null hypothesis of no difference between the wages of union workers and non-union workers.

Let X = wages earned of union workers, and Y = wages earned of nonunion workers.

Let x= the population mean wage earned of union workers, and y= the population mean wage earned of nonunion workers.

Find the p-value of the test.

Hint: use the conservative one (Option 2) for degrees of freedom: Min[nx -1, ny -1]

A)Between 0.05 and 0.10.

B)Between 0.03 and 0.05.

C)Between 0.01 and 0.03.

D)Between 0.005 and 0.01.

E)Between 0.01 and 0.0005.