True or False

a)Thep-value is the probability that the null hypothesis is true

b) The probabilities of Type I and Type II errors always add up to 1.0

c) The value of the significance level is the probability of making a Type I error.

d)If the null hypothesis is false, then it is always rejected.

e)All probabilities are theoretically calculated by the Law of Large Numbers.

f)As studies increase in sample size, they tend to have more statistical power

g) If we reject H₀, then we say we have proven H₁.

h)Generally speaking, if we fail to reject the null hypothesis, we should therefore conclude that the null hypothesis is true.

i) If we take a large random sample, the mean of the sample will be approximately equal to the median.

j) If a one-sided test rejects the null hypothesis, then a two-sided test would

have rejected the null hypothesis as well.