A random sample of 30 binomial trials resulted in 12 successes. Test the claim that the population proportion of successes does not equal 0.50. Use a level of significance of 0.05. (a) Can a normal distribution be used for the p distribution? Explain. O No, nip is greater than 5, but n q is less than 5. No, nip and n.q are both less than 5. No, n.q is greater than 5, but n.p is less than 5. Yes, n-p and n-q are both greater than 5. O Yes, nop and n-q are both less than 5. (b) State the hypotheses. O Hip = 0.5; H : p > 0.5 OH : p = 0.5; Hip # 0.5 OH:p