Significance Tests

1 sample Z test - Population is normal

Given mean of the population, Given population standard deviation, Given a sample mean

2 sample Z test - Populations are normal

Given two population standard deviations, Given two sample means and two sample sizes

1 sample T test - Population is normal (or use the 15/40 rule)

Given one mean of the population, Not given population standard deviation (given one sample standard deviation), Given a sample mean

2 sample T test

Given two sample means and two sample sizes, Not given populations standard deviations (given two sample standard deviations), Populations are normal (or use the 15/40 rule)

Matched pairs t test (find the difference between the two data sets and use 1 sample t test)

Given data on pre/post, before/after etc. (data sets that can be compared)

Tests for proportions

you are not given means or standard deviations so don’t worry about knowing the population standard deviation – you won’t know it)

1 proportion z test

Given one proportion

1 proportion z test, t test, matched pairs t test

With a p-value of ___ (greater or less than alpha = __), I (reject or fail to reject) the null hypothesis. We do (have or not have) enough evidence to conclude ____.

2 proportion z test

Given two proportions

Linear Regression t test

Either given a table with two variables (x and Y) or a computer printout

X2 tests

tables provided, GOF, independence, homogeneity

GOF

Independence

1 sample, 2 variables

Homogeneity

2 samples, 2 variables

I proportion z interval

“We Are C% confident that the interval from ____ to ____ captures the true proportion of [parameter in context]”

2 proportion z interval

I am __ confident that the true difference in the proportion of ___ is between ___ and ___ (higher or lower) for ____.

1 sample t interval

“We are C% confident that the interval from __ to __ contains the true mean of [in context]” (uses df, n-1)

2 sample t interval, Matched pairs t interval

i am ___ confident that the true mean difference of the (context of problem) is between ___ and ____. ”