414. A polling firm has been hired to do a survey of the registered voters in the state of California. It is believed that 54% of the registered voters in the state will vote yes on a particular proposition that will appear on the ballot. A random sample of 1500 registered voters is taken, and the number who are voting yes on the proposition is recorded. (a) Describe how the potential values for the sample proportion will be distributed. (b) Give the mean and standard deviation of the sampling distribution. (c) If the random sample of 1500 registered voters shows that 680 will be voting yes on the proposition, does this seem to support the belief that 54% of the registered voters in the state will vote yes on the proposition? Use probability to argue the case