To avoid bias, Joe should choose a random sample of adults from all 50 states in proportion to their population. According to the 2020 Census, the population of each state varies widely. Here are the populations of the 10 most populated states:
1. California - 39,538,223
2. Texas - 29, 78,991
3. Florida - 21, 538, 187
4. New York - 20, 201, 249
5. Pennsylvania - 13,002,700
6. Illinois - 12,812,508
7. Ohio - 11,799,448
8. Georgia - 10,711,908
9. North Carolina - 10,439,388
10. Michigan - 10,077,331
To determine the number of individuals Joe should choose from each state, he can use the following formula:
(Number of individuals from state) = (Population of state / Total U.S. population) * Sample size
Using this formula, here's how many individuals Joe should select from the 10 most populated states:
1. California - (39538223/331449281) * 5000 = 59 individuals
2. Texas - (29789991/331449281) * 5000 = 45 individuals
3. Florida - (21538187/331449281) * 5000 = 32 individuals
4. New York - (20201249/331449281) * 5000 = 30 individuals
5. Pennsylvania - (13002700/331449281) * 5000 = 19 individuals
6. Illinois - (12812508/331449281) * 5000 = 19 individuals
7. Ohio - (11799448/331449281) * 5000 = 18 individuals
8. Georgia - (10711908/331449281) * 5000 = 16 individuals
9. North Carolina - (10439388/331449281) * 5000 = 16 individuals
10. Michigan - (10077331/331449281) * 5000 = 15 individuals
Joe should repeat this calculation for all 50 states to obtain the total number of individuals he should select from each state.
Joe wants to find the most common source of news among U.S. adults. He wants his sample to have 10,000 adults (half male and half female individuals) to make a valid generalization. How many people from each of the 50 states should he choose randomly to avoid bias in his study?
3 answers
How many states are there in usa?
There are 50 states in the United States of America.