A city planner would like to estimate the true mean annual income of all households in the city. She selects a random sample of 50 households and determines that the 99% confidence interval for the true mean annual income of all households in the city to be $42,000–$68,000. Which of these statements is a correct interpretation of the confidence level? A) Approximately 99% of all households have incomes between $42,000 and $68,000.
B) The city planner can be 99% confident that the true mean annual income for all households in the city is between $42,000 and $68,000.
C) If many random samples of size 50 are selected from all households in the city, approximately 99% of the intervals would capture the true mean household income.
D) Approximately 99% of the sample means, computed from many random samples of size 50 from all households in the city, will fall between approximately $42,000 and $68.000.