Test of Proportions :Test of Proportions headlessprofessor


When to use :When to use Inferential statistic: tests a null hypothesis


When to use :When to use Inferential statistic Sample vs. norms design


When to use :When to use Inferential statistic Sample vs. norms Binary nominal scale


What you need :What you need Sample size Population proportion Sample proportion


Proportion :Proportion Part / Whole


Proportion :Proportion Part / Whole Percent / 100


Example :Example A sample of 64 Hancock’s customers


Example :Example A sample of 64 Hancock’s customers Found 57 women and only 7 men.


Example :Example N = 64 57 women & 7 men. For a proportion of 57 / 64 = .89


Example :Example N = 64 57 women & 7 men. Sample proportion = .89 Population = .50


How to Calculate :How to Calculate Ps – Pp --------------------- ((1-Pp) X (Pp / N)) ^.5


How to Calculate :How to Calculate Get denominator first and store it in the calculator memory


How to Calculate :How to Calculate 1 – population proportion .5 = .5


How to Calculate :How to Calculate 1 – population proportion .5 = .5 Times population proportion .50


How to Calculate :How to Calculate 1 – population proportion .5 = .5 Times population proportion .50 .5 X .5


How to Calculate :How to Calculate Times population proportion .5 .5 X .5 = .25


How to Calculate :How to Calculate .5 X .5 = .25 Divide by 64


How to Calculate :How to Calculate = .25 Divide by 64 Equals = .0039


How to Calculate :How to Calculate = .25 Divide by 64 Equals = .0039 Square root =.0625


How to Calculate :How to Calculate equals .0625 That is the denominator


How to Calculate :How to Calculate equals .0625 That is the denominator Save it in your memory (don’t round)


How to Calculate :How to Calculate Get the numerator


How to Calculate :How to Calculate Get the numerator Sample proportion minus population proportion


How to Calculate :How to Calculate Get the numerator Sample proportion minus population proportion .89 - .50 = .39


How to Calculate :How to Calculate = .39 That is your numerator


How to Calculate :How to Calculate = .39 That is your numerator Divide by / Memory recall Equal


How to Calculate :How to Calculate = .39 That is your numerator Divide by / Memory recall Equal = 6.24


How to Calculate :How to Calculate Equal = 6.24 That is your Z score


How to Calculate :How to Calculate Go to your T table Look at last row (infinity)


How significant is this? :How significant is this?


How significant is this? :How significant is this?


What this means? :What this means? There is less than one chance in a thousand that such a sample of 89% female would be drawn randomly from a population of 50% female.


What this means? :What this means? Therefore, we should Reject the null hypothesis


Alternative tests :Alternative tests Chi Square: Observed = sample Expected = from population


Alternative tests :Alternative tests Chi Square Kolomogorov-Smirnov


Alternative tests :Alternative tests Chi Square Kolomogorov-Smirnov Binomial Distribution


Test of Proportions :Test of Proportions headlessprofessor