68 A randoin sample of size 40 has = 120 The P-value for testing Ho = 100 against H, 100 is P = .057 Explain what is inconect about each of the following inter- pretations of this P-value, and provide a proper interpretation.

a) The probability that the null hypothesis is correct equals .057.

b) The probability that = 120 if He is truc equals .057.

c) If in fact 100. the probability equals .057 that the data would be at least as con- tradictory to Ho as the observed data

d) The probability of Type 1 error equals 057.

e) We can accept Hy at the = 05 level.

f) We can reject Ho at the a = .05 level. g) The value of the test statistic is; = 158.