Hypothesis Testing2 - Prof Myllah D Garcia Hypothesis...

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Hypothesis Testing Prof. Myllah D. Garcia
Test for a Mean Many hypotheses are tested using a statistical test based on the following general formula: Observed value is the statistic (mean) that is computed from the sample data Expected value is the parameter (mean) that one would expect to obtain if the null hypothesis were true – hypothesized value. Standard error of the statistic being tested.
Steps for Solving Hypothesis- testing Problems Step 1: State the hypothesis and identify the claim. Step 2: Find the critical value(s). Step 3: Compute the test value. Step 4: Make the decision to reject or not reject the null hypothesis. Step 5: Summarize the results.
Z Test for a Mean The z test is a statistical test for the mean of a population. It can be used when or when the population is normally distributed and is known.
Example 1 A researcher reports that the average monthly salary of nurses is more than 35,000 pesos. A sample of 35 nurses has a mean of 36,375 pesos. At , test the claim that nurses earn more than 35,000 pesos a month. The standard deviation of the population is 5,900 pesos.
Example 1
Example 2 A researcher reports that the average cost of rehabilitation for stroke victims is 100,000 pesos. To see if the average cost of rehabilitation is different at a particular hospital, a researcher selects a random sample of 40 stroke victims at the hospital and finds that the average cost of their rehabilitation is 115,000. the standard deviation of the population is 42,000 pesos. At , can it be concluded that the average cost of stroke rehabilitation at a particular hospital is different form 100,000 pesos?
Example 2
P-value Method for Hypothesis Testing P-value (or probability value) is the probability of getting a sample statistic (such as the mean) or a more extreme sample statistic in the direction of the alternative hypothesis when the null hypothesis is true.
Solving Hypothesis-testing Problems (P-value method) Step 1:
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