Q1. A survey of 500 adults aged 18 – 29 years of age revealed that 285 chose to eat fast food for dinner at least once in the past week. Find the sample proportion of individuals surveyed who ate fast food for dinner at least once in the past week. Q2. Determine LaTeX: \mu_{\hat{p}} μ p ^ and LaTeX: \sigma_{\hat{p}}σ p ^ from the given parameters. Assume the size of the population is 25,000. n = 200 p = 0.75 Q3. Sixteen percent of Americans do not have health insurance. Suppose a simple random sample of 500 Americans is obtained. In a random sample of 500 Americans, what is the probability that more than 20% do not have health insurance? Q4. A simple random sample of size n=180 is obtained from a population whose size=20,000 and whose population proportion with a specified characteristic is p=0.45. Determine whether the sampling distribution has an approximate normal distribution. Show your work that supports your conclusions. Q5. Using the values in Q4, calculate the probability of obtaining x=72 or more individuals with a specified characteristic.