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12 Cards in this Set

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  • Back

SAMPLE PROPORTION


( P HAT, P^)

Also known as probability of success in a sample.




EX: if X is the number of wins (successes) in a sample of n(5) then; p^ = x/5

POPULATION PROPORTION


( P )

A Fraction of the population.




EX: there's a population of 500 people and 200 of them has golden retrievers, the fraction of golden retrievers is 200 out of 500. P=200

POINT ESTIMATE

Point estimate is the "best" estimate in a parameter of a population.




EX: X-bar the point estimate for the population mean.

CONFIDENCE INTERVAL

A range of values we are absolutely sure our true value lies in.




Formulas: p ± z σp , X ± Zs√n,

CONFIDENCE LEVEL

The probability that the value of a parameter falls within a specified range of values.




disclaimer: confidence interval and confidence level is different, when finding the level; take half of the CI multiply by sqrt and divide by the sample deviation.

CONFIDENCE INTERVAL LIMITS

The numbers at the upper and lower end of a confidence interval.




EX: if your mean is 13.4 with confidence limits of 10.8 and 15.6, your confidence interval i 10.8 and 15.6

CRITICAL VALUE

A point on the test distribution that is compared to the test statistic to determine whether to reject or fail to reject the null hypothesis.

MARGIN OF ERROR

A statistic expression expressing the amount of random sampling error in the results of the survey.




Formula: z x o'/sqrt n

STUDENT t DISTRIBUTION

A probability distribution that is used to estimate population parameters when the sample is small or the population variance is unknown.

DEGREES OF FREEDOM

The number of independent values or quantities which can be assigned to a statistical distribution.




Formula: df= N-1

CHI-SQUARE DISTRIBUTION

The distribution of the sum of squared standard normal distribution, as the degree of freedom increases the chi square distribution approaches normal distribution.


Formula: x^2 = (n-1)s^2/o'^2

ALPHA


(a)

Also known as The significance level, is the probability of rejecting the null hypothesis when it is true.




Formula: c-1