4.4 - Mathematics Behind
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Practice Questions
Test your understanding with targeted questions
Define sample size in your own words.
💡 Hint: Think about how many surveys are conducted.
What does a confidence interval indicate?
💡 Hint: It's about the certainty of an estimate.
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Interactive Quizzes
Quick quizzes to reinforce your learning
What does a larger sample size typically lead to?
💡 Hint: Think about the relationship between sample size and conclusions.
True or False: A confidence interval is a guarantee of where a population parameter will fall.
💡 Hint: Consider what confidence intervals indicate.
1 more question available
Challenge Problems
Push your limits with advanced challenges
A political survey team wants to estimate support for a policy with 90% confidence. If they find that 30% support it from a sample of 200 people, how do they calculate the margin of error?
💡 Hint: Use the formula: MOE = z * sqrt(p(1-p)/n).
You have a data set of 50 voters, and the average age is 35 years with a standard deviation of 5 years. Calculate a 95% confidence interval for the average age of voters.
💡 Hint: Use the formula: CI = mean ± (z * standard error), where z for 95% is approximately 1.96.
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