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# Probability calculation using Z score

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A clinical study was performed to determine if a product was effective in alleviating side effects caused by a mode of treatment.

In the treated group (100 subjects) it was found that 10% had side effect A, 15% had side effect B and 65% had side effect C.

In the untreated group (1000 subjects) the same side effects occurred as follows: A15%, B 17% and C 55%.

Given these data can on compute a P value to determine if the differences are real with a 95% confidence. Please explain and if possible show how to compute a p value for each of the outcomes; A, B, and C.

https://brainmass.com/statistics/z-test/probability-calculation-z-score-407922

#### Solution Preview

Determining a P value
A clinical study was performed to determine if a product was effective in alleviating side effects caused by a mode of treatment. In the treated group (100 subjects) it was found that 10% had side effect A, 15% had side effect B and 65% had side effect C. In the untreated group (1000 subjects)the same side effects occurred as follows: A15%, B 17% and C 55%. Given these data can on compute a P value to ...

#### Solution Summary

The step by step method for computing probability based on Z score is given in the answer.

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