2. A Five-Year-Old Census Recorded That 20% Of T

2. A five-year-old census recorded that 20% of the families in a large community lived below the poverty level. To determine if this percentage has changed, a random sample of 400 families is studied and 70 are found to be living below the poverty level. Does this finding indicate that the current percentage of families earning incomes below the poverty level has changed from what it was five years ago? Test with α=0.05. (a) Formulate the null and the alternative hypothesis.Let p denote population living below poverty lineWe wish to test H0: p = .20 versus H1: p Sample size n= 400 , been large the Z is appropriate,(b) State and calculate the test statistics from the data.Statistical test If the rejection region: Computed Z value (c) Draw a conclusion.The null hypothesis is not rejected. Thus we conclude that the data does not provide a strong evidence to support the claim that change in percentage of families living below poverty line has occurred. (d) Calculate the P-value.. p- value = Thus in order to reject the null hypothesis, will need