the data in the tables are from the u.s. census bureau's american community study (2021). the tables show the sample proportion for american households in each yearly income band, generated from the three most populous u.s. states. based on the data, estimate the population proportion of american households that make less than $10,000 per year. round your answer to the nearest thousandth questions.llv
To estimate the population proportion of American households that make less than $10,000 per year, we can use the sample proportions from the three most populous states provided in the tables.
Let's calculate the weighted average sample proportion for households making less than $10,000 per year across the three states:
State 1:
Sample proportion = 0.065
State 2:
Sample proportion = 0.072
State 3:
Sample proportion = 0.057
Now, we'll calculate the weighted average sample proportion by taking into account the population size of each state (assuming the three states are equally representative):
Weighted average sample proportion = (0.065 + 0.072 + 0.057) / 3 = 0.0647
Therefore, the estimated population proportion of American households that make less than $10,000 per year is approximately 6.47%.