Hypothesis Testing: numbers of words spoken by each member of 6 randomly selected...

Listed below are the numbers of words spoken in a day by each member of six randomly selected couples:

Male: 5638, 21319, 17572, 26429, 46978, 25835
Female: 5198, 11661, 19624, 13397, 31553, 18667

Use a 0.05 significance level to test the claim among couples, males speak more words in a day than females.

(a) State the original claim and the opposite in symbolic form:


(b) State the null hypothesis H₀, the alternative hypothesis H₁, and the type of test:


(c) State the testing method and the test you used, and relevant formulas/values:


(d) State the relevant test result(s) and the associated rejection criterion:


(e) State your conclusions:
A. There is sufficient evidence to support the claim.
B. There is not sufficient evidence to support the claim.
C. There is sufficient evidence to reject the claim.
D. There is not sufficient evidence to reject the claim.

Any help with this would be greatly appreciated!

What do you understand about this problem? For example, do you know what "state the original claim and the opposite in symbolic form" means?

Would the original claim = p > 0.05 and the opposite = p (less than or greater) to 0.05?