![]() Therefore, this would be the Confidence interval: 62%+/- 3% What is the 95% confidence interval? What does it mean?Ĭonfidence Intervals for Proportions in Newspapers.What is the distribution of the sample mean?.Point sample estimate, can be the sample mean, 66.463.We want to estimate the unknown true height of our population.Assume that the s is known and is equal to 3. ![]() Assuming that σ is known, the multiplier for a (1-α) × 100% confidence interval is the (1 - ½α) × 100th percentile of the standard normal distribution. More About Confidence Intervals Simplified Expression for a 95% Confidence IntervalĬritical value, z /2 is a multiplier for a (1-α) × 100%įor 95% CI, α = 0.5, so the Z-value of the standard normal is at 0.025, that is z = 1.96 For any probability value (1- ) there is a number z/2 such that any normal distribution has probability (1- ) within z /2 standard deviations of the mean.
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