Chapter 19 – Proportions
P = population proportion (parameter)
p-hat = sample proportion (statistic)
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Proportions and Confidence Intervals: Understanding p-hat and Its Distribution, Lecture notes of Mathematical Statistics
An explanation of proportions, population proportions (p), sample proportions (p-hat), and the use of confidence intervals. a summary of the formula for calculating confidence intervals and a warning about the misconception of p-hat as a p-value or probability. The document also mentions a simulation to investigate the behavior of p-hat and its distribution.
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Chapter 19 – Proportions
P = population proportion (parameter)
p-hat = sample proportion (statistic)
TESTING HYPOTHESIS
SUMMARY
Use 10 for testing hypothesis and 15 for confidence intervals
Careful with notation - Notice: this proportion p is a population parameter NOT A P-VALUE, NOT A PROBABILITY ON A STATISTIC
The simulation is done with a problem in which we know p in order to investigate the behavior of p-hat.
Repeat the process many times to obtain the sampling distribution of p-hat For each sample compute p-hat and plot it in the histogram. p-hat are shown in the horizontal axis. The frequencies in the vertical axis Center is 0.21, spread from 0 to 0.5, shape slightly skewed
This is an indication that selective abortion may be taking place