hypothesis testing Flashcards
define null hypothesis
Ho, what we assume to be true
define alternative hypothesis
H1, what woulkd be true if Ho is wrong
define significance level
given thersohold of likelyness
deifne one-tailed test
when H1: p>k or p<k
define two tailed test
when H1: p not equal k
half value of significance level for each end
correlation testing
Ho H1
and what to do
Ho: r=0
H1: r> 0 or r<o (1-tailed) or r not equal to 0 (twotailed)
comapre value or r with table
if your r is more extreme then reject Ho
if your r is less extreme then there is no evidence to reject Ho
binomial testing
test stat
Ho
H1
what to do
test stat: numner of successes observed
Ho: P=k (given in conterxt of question)
H1: p>k or p<k (one tailed) or p not eqaul to k (twotailed)
assume that H0 is true
X~B(n,k)
find P(X>= or <= value in question) makig sure going more extreme values
if P< sig level then reject Ho
if P> sig level no evidence to reject Ho
how to find critcial region of continuous data
hypthesis
sketch
inequtlity
find CV usisng inverse normal
critical region
hyp testing with normal distribution
hypothesis H0 : u=k H1: u>k or u<k or u not =k
ditrubution - bar X ~ N (u,@^2/n) where n is sample size
sketch
assume Ho true,
find P(Xbar > or < mean sample taken)
if P < sig level, reject Ho
if P> sig level, no evidence to reject H0