An intergalactic graduate student is surveying hitchhikers. He would like to know if there is a difference in the proportion of hitchhikers who spontaneously combust after drinking a Pan Galactic Gargle Blaster versus the proportion of hitchhikers who spontaneously combust after drinking some of That Old Janx Spirit. 20 out of a random sample of 30 hitchhikers drank a Pan Galactic Gargle Blaster and exploded, whereas 12 out of 36 hitchhikers drank some of That Old Janx Spirit only to have their lives abruptly end like a moth in a candle. The intergalactic graduate student drank a Jynnan tonnyx and made the following pronouncements. Select the truthful ones, if any exist. Select one: O a. The samples are random. Using p = 20+12 30 + 36 , , N = 66, we see that Np > 10 and N(1 - p) > 10, therefore satisfying the assumptions for this hypothesis test. b. The difference of these sample proportions is normally distributed, centered at 0.4848. O c. Both proportions are normally distributed with a standard deviation of 0.0152 and mean of 0.4848. d. The difference of these sample proportions is centered around 0. O e. The intergalactic graduate student is drunk and nothing he says makes sense; none of these statements are true. Of. The difference of these sample proportions is normal, centered at an unknown value because I forgot to state the alternative hypothesis