A University Has Six Colleges and Takes a Poll to Gauge

question 86

Multiple Choice

A university has six colleges and takes a poll to gauge student support for a tuition increase.The university wants to ensure each college is represented fairly.The below table shows the observed number of students that participate in the poll from each college and the actual proportion of students in each college. Using the critical value approach,the decision and conclusion are _________________________________________.

• A) reject the null hypothesis;at least one of the proportions is different from its hypothesized value
• B) reject the null hypothesis;all of the proportions are not the same
• C) do not reject the null hypothesis;all proportions are equal to 0.20
• D) do not reject the null hypothesis;we cannot conclude not all of the proportions are the same

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Definitions:

Representative Sample

A sample that accurately reflects the characteristics of the population from which it is drawn, ensuring research findings are generalizable.

Random Sample

A sample drawn in such a way that every member of the population has an equal chance of being selected, leading to a representative subset.

"Hook Up" Culture

A societal pattern that accepts and encourages casual sexual encounters, including one-night stands and other related activity, without necessarily including emotional bonding or long-term commitment.

Random Sampling

A method of selecting a sample from a population in such a way that every individual has an equal probability of being chosen.