Full moon Some people believe that a full moon elicitsunusual behavior in people. The table shows the numberof arrests made in a small town during weeks of six fullmoons and six other randomly selected weeks in thesame year. We wonder if there is evidence of a differencein the types of illegal activity that take place.a) Will you test goodness-of-fit, homogeneity, orindependence?b) Write appropriate null hypotheses.c) Find the expected counts for each cell, and explainwhy the chi-square procedures are not appropriate. Full Moon Not FullViolent (murder, assault, rape, etc.) 2 3Property (burglary, vandalism, etc.) 17 21Drugs/Alcohol 27 19Domestic Abuse 11 14Other Offenses 9 6

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2-Proportion Test

In a 2-proportion test, two separate proportions are measured at the same time, and their similarity is evaluated. It is also known as a 2-proportion z-test, and a comparison of two different proportions is done in this method.