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.
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, Joe needs to divide the population of adults in the US into two strata based on gender: males and females. Since he wants 10,000 total adults in his sample with half males and half females, he would need to sample 5,000 males and 5,000 females.
Next, he would need to determine the proportion of adults in each state based on gender. He can use census data to get this information. He can then calculate the number of adults to sample from each state based on its proportion of the total adult population.
For example, if a state accounts for 2% of the total adult male population and 2% of the total adult female population, Joe would need to sample 100 male and 100 female adults from that state.
Therefore, the number of adults Joe needs to sample from each state will vary based on their proportion of the total adult population. He would need to determine the proportion of adults in each state and adjust his sample size accordingly.
You want to estimate the number of students who bring their lunch to school every day. Which of the following is the best sample for this situation?
A. 50 female students selected at random
B. all members of the Math Club
C. 45 first-year students selected at random
D. 80 students selected at random during lunch
D. 80 students selected at random during lunch is the best sample for estimating the number of students who bring their lunch to school every day. This sample is randomly selected and is more representative of the entire population of students, as it includes students from different groups and backgrounds. It is also taken during lunchtime, which is when students bring their lunch to school, making it a more relevant sample. The other options may not be representative of the entire population of students and may not include students who bring their lunch to school every day.
A coffee shop owner is interested in determining what people think about the new coffee flavor. Which of the following is the population in this situation?
A. all customers who did not buy the new coffee
B.100 random customers
C. the first 50 customers who bought the new coffee
D. all customers who bought the new coffee
D. all customers who bought the new coffee is the population in this situation. This includes all individuals who have purchased the new coffee flavor and thus can best provide insight into what people think about the new coffee flavor. Options A, B, and C do not represent the entire population of individuals who have purchased the new coffee flavor. Option A only includes customers who did not buy the new coffee, while Option B only includes a small sample of random customers and Option C only includes the first 50 customers who bought the new coffee, which may not be representative of all customers who bought the new coffee.
Tom wants to know the average number of musical instruments students in his school play. He used the school’s two band classes, consisting of a total of 48 students, as his representative sample. He concluded that students in his school play an average of three musical instruments. Is his conclusion valid
A.Yes, because the sample includes both males and females who play musical instruments.
B. No, because his representative sample is too large.
C. No, because he did not choose students randomly.
D.Yes, because all members of the sample play at least one musical instrument.
C. No, because he did not choose students randomly is the correct answer. Tom's conclusion may not be valid because he did not choose students randomly from the school's population. The sample he used only includes the students in the school's band classes, which may not represent the entire population of students who play musical instruments. Additionally, the band classes may attract students who are more musically inclined, which could affect the average number of musical instruments played.
Therefore, Tom's conclusion may be biased and may not represent the entire school population. To make a valid conclusion, he would need to use a randomly selected sample of students from the entire school population who play musical instruments.
A survey is conducted to determine the most common reason people own a cell phone. A company sent out a survey to customers between the ages of 20 and 30. Based on the responses, the company concluded that people own a cell phone for messaging purposes. Is this conclusion valid?
A. Yes, because the sample includes all customers between the ages of 20 and 30.
B. No, because not all people who own a cell phone have the same probability of being selected.
C. Yes, because the sample includes male and female customers.
D. No, because the sample includes customers of too many different ages
A school principal wants to know the average number of extracurricular activities students in her school are involved in. She assigned each student a number from 1 to 415. Using a random number generator, she selected 200 students to be part of the sample. She concluded that students are involved in an average of two extracurricular activities. Is the principal’s conclusion valid?
A. No, because not all students in the sample have extracurricular activities.
B. Yes, because every student had an equal chance to be part of the sample. The sample size also appears to be large enough.
C. Yes, because only those who have extracurricular activities were included in the sample.
D. No, because 200 students in the sample is too large.
B. Yes, because every student had an equal chance to be part of the sample. The sample size also appears to be large enough is the correct answer. The principal's conclusion may be valid because she used a random number generator to select students for the sample, ensuring that every student had an equal chance to be part of the sample. Moreover, a sample size of 200 appears to be large enough for the sample to be representative of the population of students in the school.
As long as the sample is representative of the population of students in the school, the conclusion that students are involved in an average of two extracurricular activities may be valid. Therefore, the principal's conclusion may be valid, assuming that the sample is representative of the entire school population.
Kenya wants to know how much time students in her school spend doing their homework each day. Out of 450 students in the school, she was able to get a response from 190 students. Identify the population and the sample.(1 point)
You want to estimate the number of students who bring their lunch to school every day. Which of the following is the best sample for this situation?(1 point)
The best sample for estimating the number of students who bring their lunch to school every day is a random sample of students from the entire student population. This could be done by randomly selecting students from different grade levels, genders, races, etc. to ensure that the sample is representative of the entire student population. Additionally, it would be best to sample students during lunchtime to ensure that students who bring their lunch to school are included in the sample.
You want to estimate the number of students who bring their lunch to school every day. Which of the following is the best sample for this situation?(1 point)
Responses
all members of the Math Club
80 students selected at random during lunch
50 female students selected at random
45 first-year students selected at random
B. 80 students selected at random during lunch is the best sample for estimating the number of students who bring their lunch to school every day. This sample is more likely to be representative of the entire population of students as it includes students from different grade levels, genders, races, etc. Additionally, it is taken during lunchtime, which is when students bring their lunch to school, making it a more relevant sample.
The other options may not be representative of the entire population of students who bring their lunch to school every day. For example, Option A only includes members of the Math Club, Option C only includes female students, and Option D only includes first-year students, which may not represent the entire student population who bring their lunch to school every day.
A coffee shop owner is interested in determining what people think about the new coffee flavor. Which of the following is the population in this situation?(1 point)
100 random customers
all customers who did not buy the new coffee
all customers who bought the new coffee
the first 50 customers who bought the new coffee
The population in this situation is all customers who bought the new coffee, as they are the ones who have tried the new coffee flavor and can provide insights and opinions about it. Therefore, to make inferences about what people think about the new coffee flavor, the coffee shop owner needs to survey the customers who have bought the new coffee flavor. The other options are not relevant to the population the coffee shop owner wants to study.
Tom wants to know the average number of musical instruments students in his school play. He used the school’s two band classes, consisting of a total of 48 students, as his representative sample. He concluded that students in his school play an average of three musical instruments. Is his conclusion valid?(1 point)
Tom's conclusion may not be valid for several reasons. He used the school’s two band classes, consisting of a total of 48 students, as his representative sample, which may not represent the entire population of students who play musical instruments in the school. Additionally, the band classes may attract students who are more musically inclined, which could affect the average number of musical instruments played.
Therefore, Tom's conclusion may be biased and may not represent the entire school population. To make a valid conclusion, Tom would need to use a randomly selected sample of students from the entire school population who play musical instruments. By doing so, he could obtain a sample that is more representative of the school population, and use that sample to estimate the average number of musical instruments played.
try again
Tom's conclusion may not be valid. While he used a sample that is relatively small, consisting of 48 students, his sample was not randomly selected from the entire population of students in the school. Additionally, the sample he used only includes the students in the school's band classes, which may not represent the entire population of students who play musical instruments. The band classes may attract students who are more musically inclined, which could affect the average number of musical instruments played.
Therefore, Tom's conclusion that students in his school play an average of three musical instruments may be biased and may not represent the entire school population. To make a valid conclusion, he would need to use a randomly selected sample of students from the entire school population who play musical instruments. By doing so, he could obtain a more representative sample that would help estimate the average number of musical instruments played.
D. No, because the sample includes customers of too many different ages is the correct answer. The conclusion may not be valid because the survey only includes customers between the ages of 20 and 30, which may not represent the entire population of people who own a cell phone. The reasons people own cell phones may vary based on age, income, occupation, location, and other factors. Therefore, the conclusion that people own a cell phone for messaging purposes may only apply to the specific age group surveyed and may not be representative of the entire population of cell phone owners.
To make a valid conclusion, the sample should be representative of the entire population of cell phone owners. The survey should include participants from different age groups, locations, and backgrounds to ensure that the sample is diverse and representative.