The city council wants to know if its 56,000 residents favor the construction of the new athletic facility. Six hundred residents were surveyed, and 350 residents responded favorably, while 250 residents opposed the construction. Identify the population and the sample. Population: ____residents Sample: ____ residents
Population: 56,000 residents
Sample: 600 residents
Population: 450 students in the school
Sample: 190 students who responded to the survey about their homework time
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?____adults
To avoid bias in Joe's study, he should use stratified random sampling to ensure that his sample is representative of the adult population in the United States.
First, he would need to determine the proportion of the adult population in each state. He could use data from the U.S. Census Bureau to do this.
Next, he would need to calculate the number of adults he needs to sample from each state. Let's assume for simplicity that the adult population is evenly distributed across the 50 states. In that case, he would need to sample 200 adults from each state (10,000 total sample size divided by 50 states).
However, this may not be feasible for Joe, as some states have much smaller populations than others. In that case, he would need to adjust his sample size for each state based on its proportion of the total adult population.
For example, if a state accounts for 1% of the total adult population, Joe would need to sample 100 adults from that state (1% of 10,000).
Therefore, the number of adults Joe needs to sample from each state will vary. He will need to determine the proportion of the adult population in each state and adjust his sample size accordingly.
Try again
I apologize for the error in my previous response.
Joe wants to find the most common source of news among U.S. adults, and he wants his sample to have 10,000 adults, half male and half female. To avoid bias in his study, he should use stratified random sampling to ensure that his sample is representative of the adult population in the United States.
First, Joe needs to divide the population of adults in the US into two strata: males and females. He then needs to determine the proportion of males and females in the adult population in the US. Let's assume that the proportion of males in the adult population is 49% and the proportion of females is 51%.
Next, Joe needs to determine the sample size for each stratum. Since he wants 10,000 total adults in his sample, he would need to sample 5,000 males and 5,000 females.
To avoid bias, Joe should also divide each stratum into smaller subgroups. For example, he could divide each stratum into age groups, income levels, etc. Then, he could randomly sample from each subgroup to ensure that his sample is representative of the adult population in the US.
For example, if he divides the male stratum into age groups (18-34, 35-54, 55 and over) and income levels (low, medium, high), he would need to determine the proportion of males in each age group and income level. He could use this information to determine the sample size for each subgroup. He would then randomly sample from each subgroup to ensure that his sample is representative of the adult male population in the US. He would repeat the same process for the female stratum.
Therefore, Joe would need to use stratified random sampling to determine the sample size for each stratum and divide each stratum into smaller subgroups to ensure that his sample is representative of the adult population in the US.
Wrong, your being to technical. Simple answer.
I apologize for being too technical in my previous responses.
To find the most common source of news among U.S. adults with a sample size of 10,000, Joe should use random sampling. He can use a random number generator to select individuals from the U.S. adult population and ask them about their preferred source of news.
To avoid bias in his study, he should ensure that the sample is representative of the U.S. adult population. This can be done by selecting individuals from different age groups, genders, races, education levels, and income levels and from different regions of the United States.
That's not a answer.
Apologies for any confusion.
If Joe wants to find the most common source of news among U.S. adults with a sample size of 10,000, he should use a random sampling method. He could use a simple random sampling method, which involves selecting individuals randomly from the entire U.S. population of adults.
To avoid bias in his study, he should ensure that the sample is representative of the U.S. adult population. He should attempt to include individuals from different demographic groups, such as different ages, genders, races, education levels, and income levels, as well as individuals from different regions of the United States.
By doing so, Joe can obtain a sample that is representative of the U.S. adult population and use that sample to estimate the most common source of news among U.S. adults.