In: Statistics and Probability
According to government data, 22% of American children under the age of 6 live in households with incomes less than the official poverty level. A study of learning in early childhood chooses an SRS of 300 children.
1. Is it okay to use normal calculations for this problem? Explain
2. Describe the sampling distribution
3. What is the probability that more than 20% of the sample are from poverty households? Draw and shade the appropriate normal curve and find the probability. You must find a z-score and write a conclusion in context
Solution Let X denotes number of american childern under the age of 6 line in a household with incomes less then the official poverty line:
f denotes probability that american childern under the age of in a house holds with income less then the official poverty line.