It is generally believed that nearsightedness affects about 12% of children. A school district gives vision tests to 133 randomly selected incoming kindergarten children. Answer parts a-d below: a. The conditions have been met to use a Normal model. Describe the sampling distribution model for the sample proportion by telling its mean and standard deviation. Round to 3 decimal places. b. Sketch and clearly label the model using the 68-95-99.7 Rule. Give the values for 1, 2, and 3 standard deviations away from the mean in both directions. c. In a random sample of 133 kindergarten children, 15% of them were found to be nearsighted. What is the z-score for 15%? d. What is the probability that in this group over 15% of the children will be found to be nearsighted? Write the p-value as a decimal rounded to 3 places in the form 0.XXX.