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Example Question #2 : Confidence Intervals
Example Question #1 : How To Find Confidence Intervals For A Difference Between Two Proportions
In a simple random sample of people, are left-handed. Find a confidence interval for the true proportion of left-handed people in the entire population.
The sample is not sufficiently large. A confidence interval cannot be used.
Step 1: Determine the approporiate formula. In this case, the statistic is a proportion because the question says 261 people out of 1000 are left-handed. We want to use a confidence interval for proportions. The equation is
Step 2: , or the sample proportion is equal to
Step 3: The questions asks for a 95% confidence interval. You can assume a normal distribution because of the large sample size. Therefore, in a normal distribution, 95% of the data is contained within .
Step 4: Substitue all the values into the equation to get the answer.