Answer:
Step-by-step explanation:
a) A test of H0: p = 0.6 vs. HA: p < 0.6 fails to reject the null hypothesis. Later it is discovered that p = 0.7.
Answer: No error has been made since there is not enough statistical evidence to reject the null.
b) A test of H0: μ = 30 vs. HA: μ > 30 rejects the null hypothesis. Later it is discovered that μ = 29.9.
A type I error has been made. Rejecting the null hypothesis when it is actually true.
c) A test of H0: p = 0.4 vs. HA: p /= 0.4 rejects the null hypothesis. Later it is discovered that p = 0.55.
A type I error has been made since the p value was greater than 0.4, one will fail to reject the null but in the case the null was rejected.
d) A test of H0: p = 0.7 vs. HA: p < 0.7 fails to reject the null hypothesis. Later it is discovered that p = 0.6.
A type II error has been made since the p value is less than 0.7 and it was expected that the null should be rejected but that ws not the case.
