Chapter 7.1-3 Flashcards
Sampling distribution of proportions
population
EVERYONE in a group we’re interested in collecting data on
sample
a subset of the population that we collect information on
parameter
the value of interest for the POPULATION
statistic
the value of interest for the SAMPLE
p
population proportion, parameter
p hat
sample proportion, statistic
N
population size
n
sample size
mean of distribution of p hat
p
standard deviation of distribution of p hat
sqroot(p(1-P)/n)
shape of distribution of p hat
most are approximately normal
very low p=skewed right
very high p=skewed left
condition for mean
random condition, given
condition for standard deviaiton
independence, given (between two sample), 10% rule (sample is less than 10% of population)
condition for normality
large counts condition, the following need to be greater than or equal to 10:
np and n(1-p)
distribution of (p hat a)-(p hat b)
same conditions
mean=pa-pb
standard deviation=
sqroot(pa(1-pa)/na+pb(1-pb)/nb)