 # Test of Proportions Z

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Published on December 2, 2008

Source: authorstream.com

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

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