Asked by Kaitlin Ptacek on Jul 02, 2024
A student government representative at a local university claims that 60% of the undergraduate students favor a move to Division I in college football. A random sample of 250 undergraduate students was selected and 140 students indicated they favored a move to Division I.
Find a 95% confidence interval for the true proportion of undergraduate students who favor the move to Division I.
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Based on the interval above, can the representative's claim be rejected?
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Explain.
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Confidence Interval
A confidence interval is a range of values, derived from sample statistics, that is believed, with a certain level of confidence, to contain the true value of a population parameter.
Undergraduate Students
Students pursuing their first cycle of higher education, typically leading to a bachelor's degree.
Division I
Denotes the highest level of collegiate athletic competitions in the United States, governed by the National Collegiate Athletic Association (NCAA).
- Ascertain and clarify confidence intervals for means and proportions within populations.
- Analyze statistical propositions critically by examining confidence interval data.
Learning Objectives
- Ascertain and clarify confidence intervals for means and proportions within populations.
- Analyze statistical propositions critically by examining confidence interval data.