Find Z test proportion 2. In Hospital A, tracheotomy had been done in 60 patients out of 150 while in the other Hospital B it was done in 50 out of 150. Find if the difference observed in the two Hospitals is by chance or due to some influence. Find the overall sample proportion: 60 P1 = nl = 150 150 50 P2 = , n2 = 150 150 Find the overall sample proportion X1 + X2 = 60 + 50 %3D n + n2 150 + 150 ,1-p Null Hypothesis H: There is no significant difference in the tracheotomy in both hospitals H: There is a significant difference in the tracheotomy in both hospitals • We Use a 5% alpha level. • Ztest statistics is given as: Page 3 of 4 • Z = %3D P1-P2 x( 150 150 Z= • The critical value associated with a 5% alpha level is1.96. • Analysis: Computed value is than the critical value 1.9 • Decision: Ho Conclusion: There is ------------.- in the tracheotomy rate at 95% significance level between Hospital A and Hospital B

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Inverse Normal Distribution

The method used for finding the corresponding z-critical value in a normal distribution using the known probability is said to be an inverse normal distribution. The inverse normal distribution is a continuous probability distribution with a family of two parameters.

Mean, Median, Mode

It is a descriptive summary of a data set. It can be defined by using some of the measures. The central tendencies do not provide information regarding individual data from the dataset. However, they give a summary of the data set. The central tendency or measure of central tendency is a central or typical value for a probability distribution.

Z-Scores

A z-score is a unit of measurement used in statistics to describe the position of a raw score in terms of its distance from the mean, measured with reference to standard deviation from the mean. Z-scores are useful in statistics because they allow comparison between two scores that belong to different normal distributions.