Question

I want examples on Sign test (one for small sample and one for large sample) and paired-sample sign test (one for small sample and one for large sample)

Answer 1

sign test

assuming number of positive = 5

total = 15

Sign and binomial test

Number of "successes": 5
Number of trials (or subjects) per experiment: 15
Sign test. If the probability of "success" in each trial or subject is 0.500, then:

• The one-tail P value is 0.1509
  This is the chance of observing 5 or fewer successes in 15 trials.
• The two-tail P value is 0.3018
  This is the chance of observing either 5 or fewer successes, or 10 or more successes, in 15 trials

large sample

positive= 25

n = 45

Please post paired-sample question again as separate post