A random sample size 1000 has _ x = 104. The p value for testing Ho: u = 100 against Ha: u not = to 100 is 0.057. Expalin what is incorrect about each of the following interpretations of this p-value & provide a proper interpretation; (a) the probability that the null hypothesis is correct = 0.057. (b) the probability that _ x = 104 if Ho is true = 0.057. (c) If in fact u is NOT = 100 so Ho is false, the probability = 0.057 that the data would show at least as much evidence against Ho as the observed data. (d) the probability of a Type I error = 0.057. (e) we can accept Ho at the a = 0.05 level. (f) we can reject Ho at the a = 0.05 level. a= the greek letter alpha Solution (a) The P-value is the smallest level of significance that would lead to rejection of H0 with the given data, not to accept it. (b) The significance level is not a probability for a given mean. (c) Not neccesarily, because a type II error might be commited. (d) Again, 0.057 is the smallest level of significance that would lead to rejection of H0. (e) The right phrase is fail to reject, not accept. (f) The P-Value is greater than the alpha, so we can\'t reject..