DATA ANALYSIS, STATISTICS AND PROBABILITY - 6/10%0D%0A+30 %0D%0A%0D%0ADoes random sampling give you a representative sample of a population
Random sampling is a statistical technique that involves selecting a subset of individuals from a larger population in a way that every individual has an equal chance of being selected. The goal of random sampling is to obtain a representative sample that accurately reflects the characteristics of the population.
When random sampling is conducted properly, it can provide a representative sample of a population. By giving each individual an equal chance of being included in the sample, random sampling helps to minimize biases and ensures that each member of the population has an equal probability of being selected.
However, it is important to note that random sampling does not guarantee a perfectly representative sample. Random sampling only provides a probability-based selection process that aims to reduce bias, but it does not eliminate it entirely. Factors such as non-response bias (when selected individuals do not respond), self-selection bias (when individuals volunteer to participate), or coverage bias (when certain subgroups of the population are underrepresented) can still affect the representativeness of the sample.
Therefore, while random sampling is an essential tool in statistical analysis and often yields a representative sample, other factors must also be considered to ensure a truly representative sample and accurate statistical inferences.
so yes or no
Yes, random sampling, when properly conducted, can provide a representative sample of a population.
Jalen is trying to determine the amount of time 8th graders spend playing sports each week. He thinks he can poll a random sample by asking every member of the girl's soccer team how long they spend playing sports each week. Will Jalen have a random sample using this method?
No, Jalen will not have a random sample using this method. Asking every member of the girl's soccer team will result in a convenience sample rather than a random sample. Convenience sampling involves selecting individuals that are easily accessible or readily available, which can introduce biases and limit the generalizability of the results. To obtain a random sample, Jalen would need to use a proper random sampling technique, such as selecting a subset of 8th graders from the entire population using a random number generator or a random selection method.
Rob used random sampling to conduct an experiment on the average amount people spend on groceries. Will the results of this experiment be representative of the population?
If Rob used random sampling properly, the results of his experiment should be representative of the population. Random sampling involves randomly selecting individuals from the population, giving each person an equal chance of being included in the sample. When conducted correctly, random sampling helps to reduce biases and ensure that the selected sample reflects the characteristics of the population.
However, it's important to consider factors such as non-response bias and coverage bias, which can still impact the representativeness of the sample. If certain individuals in the population are less likely to respond to the survey or are underrepresented in the sample, the results may be biased. Additionally, the accuracy of the results depends on the adequacy of the sample size and the level of variability in the population.
Overall, random sampling is a valuable technique to obtain a representative sample, but it's crucial to consider other factors and potential sources of bias to ensure the accuracy and generalizability of the results to the entire population.