The Proportion of 100 Released Prisoners Who Get Rearrested Within

question 32

Essay

The proportion of 100 released prisoners who get rearrested within three years is 24 percent for the 50 who attended a bible studies program in prison and 30 percent for the 50 who did not attend.Does this mean that prisoners who attend bible studies programs are less likely to get arrested within three years than those who do not attend? Explain your answer on statistical grounds.

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Definitions:

Mean

The mean of a collection of numbers, determined by dividing their total sum by the count of the numbers.

Standard Deviation

A gauge for the level of dispersion or spread within a set of data points, indicating the magnitude of deviation from the mean.

Standard Normal Distribution

A specific type of normal distribution with a mean of 0 and a standard deviation of 1, used in many areas of statistical analysis.

Mean

The arithmetic average of a set of values, calculated by adding them together and dividing by the number of terms.