A frozen yogurt shop conducted a survey which it asked every fourth customer for his or her favorite flavor. Most of the customers surveyed preferred vanilla yogurt so the shop concluded that customers favorite flavor is vanilla is this a valid conclusion
A. Yes, since it was a random sample is most representative of the population
B. No, since it was a random sample it is most likely not representative of the population.
C. yes since it was a bias sample, it is most likely representative of the population
D. Since it was a bias sample, it is most likely not representative of the population.
D. Since it was a biased sample, it is most likely not representative of the population.
D. Since it was a biased sample, it is most likely not representative of the population.
The correct answer is B. No, since it was a random sample, it is most likely not representative of the population.
The reason behind this is that the survey only asked every fourth customer for their favorite flavor. This method introduces a bias into the sample because it systematically excludes the preferences of customers who were not selected. It is possible that the shop attracts a certain type of customer who prefers vanilla more than other flavors, which would skew the results.
To obtain a more representative sample, the shop should have used a random sampling method where each customer has an equal chance of being selected for the survey. This way, the preferences of all customers would have been taken into account, giving a more accurate reflection of the overall population's favorite flavor.