question 1 points 3 the college decided to conduct the students election for the year 2022. three students…

question 1 points 3 the college decided to conduct the students election for the year 2022. three students, joseph, richard, and patricia stood for the election. the college administrator decided to poll a random sample of pupils to determine which candidate each student intended to vote for as the students chairman. out of 300 students, she asked 50 students whom they vote at exit poll. the results are shown in the below table. candidate number of votes joseph 25 richard 15 patricia 10 what is the preferred sampling technique to get the unbiased sample? what inference can be made from the above table? cluster sampling technique. richard will win the election. stratified sampling technique. joseph will win the election. stratified sampling technique. patricia will win the election. cluster sampling technique. no inference can be made on this data.

question 1 points 3 the college decided to conduct the students election for the year 2022. three students, joseph, richard, and patricia stood for the election. the college administrator decided to poll a random sample of pupils to determine which candidate each student intended to vote for as the students chairman. out of 300 students, she asked 50 students whom they vote at exit poll. the results are shown in the below table. candidate number of votes joseph 25 richard 15 patricia 10 what is the preferred sampling technique to get the unbiased sample? what inference can be made from the above table? cluster sampling technique. richard will win the election. stratified sampling technique. joseph will win the election. stratified sampling technique. patricia will win the election. cluster sampling technique. no inference can be made on this data.

Answer

Explanation:

Step1: Identify sampling technique

Stratified sampling divides the population into subgroups and samples from each subgroup proportionally. In this case, to get an unbiased sample of students' voting - intentions, stratified sampling is more appropriate as it can account for different characteristics within the student population. Cluster sampling involves dividing the population into clusters and randomly selecting whole clusters.

Step2: Analyze election outcome

In the sample of 50 students, Joseph has 25 votes, Richard has 15 votes, and Patricia has 10 votes. The proportion of votes for Joseph in the sample is $\frac{25}{50}=0.5$, for Richard is $\frac{15}{50} = 0.3$, and for Patricia is $\frac{10}{50}=0.2$. Based on this sample, if the sample is representative, Joseph is likely to win the election.

Answer:

Stratified sampling technique. Joseph will win the election.