A Large University Is Interested in the Outcome of a Course

question 77

Short Answer

A large university is interested in the outcome of a course standardization process. They have taken a random sample of 100 student grades, across all instructors. The grades represent the proportion of problems answered correctly on a midterm exam. The sample proportion correct was calculated as 0.78.
A) Construct a 90% confidence interval on the population proportion of correctly answered problems.
B) Construct a 95% confidence interval on the population proportion of correctly answered problems.

• A) Construct a 90% confidence interval on the population proportion of correctly answered problems.
• B) Construct a 95% confidence interval on the population proportion of correctly answered problems.

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Definitions:

Normally Distributed

Describes a statistical distribution where the arrangement is balanced around the mean, indicating that observations close to the mean happen more often than those further away.

Regression Line

A line of best fit through a dataset in regression analysis, showing the relationship between the independent and dependent variables.

Sum Of Squares

The total of the squared differences between each observation and the overall mean.

Data Points

Individual pieces of factual information recorded and used for the purpose of analysis.