In: Statistics and Probability
he question was; what is the probability of rejecting the null hypothesis? Using the equation of the central limit theorem and the concepts of the normal distribution we made the following computation.
Therefore, the probability of rejection of the null hypothesis, as well as the likelihood of rejection and wrongly rejection is 5.74%.
Questions:
1. If you change the sample size to 36 samples, the probability of rejecting the null hypothesis and committing type I error is higher?
2. If you change the sample size to 4 samples, the probability of rejecting the null hypothesis and committing type I error is higher?
3. Why do you think that the size is important in hypothesis testing? Answer in your own words.
Answer:
When the sample size is changed the same computation can be repeated by replacing sample size from 10 to given sample size.
1)
The probability of rejection of null hypothesis is, as well as likelihood of rejection and wrongly rejection is
2)
The probability of rejection of null hypothesis is, as well as the likelihood of rejection and wrongly rejection is
3)
As the sample size increases the precision in the null hypothesis, probability of rejection of null hypothesis is, as well as the likelihood of rejection and wrongly rejection decreases.
More the sample size, higher the precision .