In: Statistics and Probability
We wish to test the hypothesis that μ≥0 at the 4% level using a sample of 60 observations. The rejection region for this test is:
Answer: Above 1.75
Explanation:
Here level of significance is 4% = 0.04, Hence we find this probability in normal distribution table.
Hence the critical value for one tailed is 1.75
Hence if the alternative hypothesis is lower tailed(μ<0) then we reject H0 if test staistics is below -1.75, And if the alternative hypothesis is upper tailed(μ≥0) then we reject H0 if test staistics is above 1.75.
Here our hypothesis that μ≥0 , so rejection region is Above 1.75