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Alternate hypothesis

A mathematical statement about other values that the same parameters specified the null. Represents a change and never permits equality.

u

Is the population mean.

a

Level of significance/ probility of a type I error occuring

Type 1 error

Occurs when the null hypothesis is actually true but the data that you have collected and used to conduct the hypothesis test has convinced you that the null is not true.

B

Probability of a type II error will occur.

X bar

Represents the number of elements in the population that belongs to the category whose proportion you are calculating

null hypothesis

is a mathematical statement about the assumed values of a specified parameter. Always permits equality.

s2

is a measure on a random sample that is used to estimate the variance of the population from which the sample is drawn

critical number

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

P-value

is the measure of how extreme your result is, under the assumption that HO is true.

type 2 error

occurs when the null hypothesis is actually false but the data that you collected is telling you it is true.

p

represents the true value of the population proportion.

p bar

sample proportion

Rejection Region

specifies an interval of values such that if your TS falls in this interval than you will reject HO