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 proportioni 60 P1 = nl = 150 150 50 p, = 150 , n2 = 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 a significant difference the tracheotomy both hospitals • We Use a 5% alpha level. • Z test statistics is given as: Page 3 of 4 • Z = "P-P = P-Pa %3D %3D %3D x( 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.