Answered: When carrying out a hypothesis test for…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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When carrying out a hypothesis test for a population proportion, under what conditions is it appropriate to

use the normal distribution as an approximation to the (theoretically correct) binomial distribution?

You need to have a simple random sample from a large sample

The doctors of a local hospital claim in a report presented to the governing directors that 30% of its

emergency room patients are not really in need of intensive care unit (ICU) facilities i.e. these patients

should really be in the high dependency unit (HDU) and not in the ICU which is overpopulated. Using a

random sample of 400 ICU patients, a board member finds that 35% of those treated were not true

emergency cases.

Formulate a hypothesis and carry out an appropriate hypothesis test, using the critical value approach and

at a 5% level to evaluate the doctors’ claim.

Be sure to show all the steps of this approach i.e..i. state H0 and HA, ii. select α, select the test statistic

(giving reason for your choice) and compute it, iii. get the critical value, iv. compare the test statistic, v. state

your decision, and vi. explain (interpret) your conclusion

Features Features Normal distribution is characterized by two parameters, mean (µ) and standard deviation (σ). When graphed, the mean represents the center of the bell curve and the graph is perfectly symmetric about the center. The mean, median, and mode are all equal for a normal distribution. The standard deviation measures the data's spread from the center. The higher the standard deviation, the more the data is spread out and the flatter the bell curve looks. Variance is another commonly used measure of the spread of the distribution and is equal to the square of the standard deviation.

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