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Hypothesis TestingProf. Myllah D. Garcia
Test for a MeanMany hypotheses are tested using a statisticaltest based on the following general formula:Observed value is the statistic (mean) that iscomputed from the sample dataExpected value is the parameter (mean) thatone would expect to obtain if the nullhypothesis were true – hypothesized value.Standard error of the statistic being tested.
Steps for Solving Hypothesis-testing ProblemsStep 1:State the hypothesis andidentify the claim.Step 2:Find the critical value(s).Step 3:Compute the test value.Step 4:Make the decision to rejector not reject the null hypothesis.Step 5:Summarize the results.
Z Test for a MeanThe z test is a statistical test for themean of a population.It can be usedwhenor when the population is normallydistributed andis known.
Example 1A researcher reports that theaverage monthly salary of nurses ismore than 35,000 pesos.A sampleof 35 nurses has a mean of 36,375pesos.At, test the claim thatnurses earn more than 35,000 pesosa month.The standard deviation ofthe population is 5,900 pesos.
Example 2A researcher reports that the average cost ofrehabilitation for stroke victims is 100,000 pesos.To see if the average cost of rehabilitation isdifferent at a particular hospital, a researcherselects a random sample of 40 stroke victims atthe hospital and finds that the average cost oftheir rehabilitation is 115,000.the standarddeviation of the population is 42,000 pesos.At ,can it be concluded that the average cost ofstroke rehabilitation at a particular hospital isdifferent form 100,000 pesos?
P-value Method forHypothesis TestingP-value (or probability value) is theprobability of getting a samplestatistic (such as the mean) or amore extreme sample statistic in thedirection of the alternativehypothesis when the null hypothesisis true.