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# MATH 153 Chapter 9

### Confidence Intervals

What does alpha represent? confidence level
What is the denotation for level of confidence? (1-𝛂) • 100%
What does the Central Limit Theorem State? Regardless of the shape of the underlying population, the sampling distribution of x becomes approximately normal as the sample size, n, increases.
True or False. The population proportion and sample proportion always have the same value. False
What type of variable is required to construct a confidence interval for a population proportion? qualitative with two possible outcomes
How do you compute t 𝛂/2 ? n-1 degrees of freedom
How do you calculate the lower bound? p hat - margin of error
How do you calculate the upper bound? p hat + margin of error
The smaller the interval, the _______________ the confidence level. lower
A​ ___________ _____________ is the value of a statistic that estimates the value of a parameter. point, estimate
The​ _________________________ represents the expected proportion of intervals that will contain the parameter if a large number of different samples of size n is obtained. It is denoted​ ________________________. level of confidence, (1-alpha)x100%
The procedure for constructing a confidence interval about a mean is​ ____________, which means minor departures from normality do not affect the accuracy of the interval. robust
True of false: The mean of the sampling distribution of p hat is p. True
True or false​: The population proportion and sample proportion always have the same value. False
The standard deviation of the sampling distribution of x bar​, denoted σx bar​, is called the​ _____________ __________ of the​ _________. standard, error, mean
True of false: The distribution of the sample​ mean, x bar​, will be normally distributed if the sample is obtained from a population that is normally​ distributed, regardless of the sample size. True