[2](12) Assume equal probabilities for births of boys and girls, i.e., there is a 50-50 chance of observing a boy or girl at birth. Consider next 200 children born in the county. Since we have no control on child birth, it is a simple random sample of size n = 200 in a binomial situation with p = 0.50. a) What is the sample size (n) and population proportion (p)? b) Are the normality criteria met? c) Find the mean and compute the standard error of the sampling distribution of sample proportions (use four decimal places for the standard error). d) Suppose that 110 will be boys among 200 births. Compute the sample proportion, p. Plot this sample proportion on the graph above. Is this value unusually large? e) What is the z-score of the sample proportion from Question (d)? Use the mean and () Use technology or a normal distribution table to find the probability of observing a sample proportion that is greater or equal to the value from Question (e)