Answer:
c. It will decrease the estimated standard error and increase the likelihood of rejecting H0
Step-by-step explanation:
Given that a sample size is decreased after keeping other factors constant.
In hypothesis testing if sample size is decreased while others are kept constant we have the following
The margin of error = critical value *std dev/sqrt n
In other words, the margin of error is inversely proportional to square root of sample size.
So if n increases, margin of error decreases, making confidence interval narrower.
This gives more chance for rejecting null hypothesis.
Hence correct answer would be
c. It will decrease the estimated standard error and increase the likelihood of rejecting H0
