L20SamplingDistProportion

L20SamplingDistProportion - MST 2250 - Lesson 20 The...

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Unformatted text preview: MST 2250 - Lesson 20 The Sampling Distribution of the Proportion March 11, 2011 Definition: The sampling distriblgion of the proportion is the probability distribution of all possible sample proportions ) of sample size n that could be drawn from a population. 1.) Sampling error: Ihe absolute value of the difference between a sample proportion (39) and the true population proportion ($9 )t Example: EAI Corporation. )500 managers. 60 % completed a performance evaluation training program (p=0.6). I snort/(Mariel jgcpg pertains“)? E i “J? enema fiflewrtgifl“ “a at “MM is mi?“ [5’ - arm 2‘) Point estimates: The sampie proportion If? ) is a point estimate of the population proportion fimwmafi/wéfit? fififimwm Skmmflmfi fie i“ f? wig“ fifjflfi‘ L2OSampDistribProp 3.) Developing the sampling distribution: Example: LZOSampDi strimep vaative Frequency RELATIVE FREQUENCY HISTOGRAM OF [I VALUES FROM 500 SEMPLE RANDOM SAMPLES OF SIZE 30 EACH ,40 ‘15 .10 .05 ,VL/r “WWWWWW_““K W a mum- ,.,.,..umw LZOSampDistribProp m Properties of the sarpling distribution. «t/ M “W 5.) Standard error oft e proportion. fire 939 e37 #1 {Mo m w . W 50f\ J r 6;) The “Central Limit Theorem” if the sampie size n is sufficiently iarge then the sampiing distribution of the proportion Wiii approximate a normai distriio‘ation no matter the shape of the population. in this ease: rip must be greater than or equal to 5 grid nflnp} must be greater than or equai to 5 i am, U) Example Problems: EAI Corporation; 500 managers. 60 % completed a performance evaluation training program (p=0.6). ‘ a) What is the probability of drawing a sample of 100 managers from this population with a sample proportion within =/— 0.03 (or 3%) of \] I V 4.63: may \ A»: C: 3 b) If the sample size were increased to 200, what would this probability be? L2OSampDistribProp ...
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This note was uploaded on 02/05/2012 for the course MGT 2250 taught by Professor Milne during the Summer '08 term at Georgia Institute of Technology.

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L20SamplingDistProportion - MST 2250 - Lesson 20 The...

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