A researcher wants to determine if the length of time a politician talks correlates with the work the politician gets done. For eight politicians, the researcher collects data on the average length of their speeches and how many bills they get passed through the Senate. The researchers conduct a two-tailed test with = .01.

Senator	Pages	Bills
A	15	0
B	10	1
C	8	5
D	4	6
E	0	2
F	4	4
G	9	4
H	14	2

Mean for pages = 8, SD = 5.15. The mean for number of bills = 3, SD = 2.07.

State the null and alternative hypotheses in words and symbols.

What is the critical value for this test?

Calculate the z-scores for each variable and then solve for the numerator of the Pearson correlation (the numerator is the sum of Z_X * Z_Y).