# State the hypothesis and identify the claim step 2

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State the hypothesis and identify the claim. Step 2: Compute the test value Step 3: Find the P-value Step 4: Make the decision to reject or not reject the null hypothesis. Step 5: Summarize the results.
Decision Rule when Using a P-value If P-value , reject the null hypothesis If P-value is > , do not reject the null hypothesis
Example 3 A researcher wishes to test the claim that the average age of nurses in Metro Manila is greater than 35 years. She selects a sample of 32 nurses and finds the mean of the sample is 35.7 years, with a standard deviation of 2 years. Is there evidence to support the claim at ? Use the P-method.
Guideline for P-values If , reject the null hypothesis. The difference is highly significant. If but reject the null hypothesis. The difference is significant. If but consider the consequences of Type 1 error before rejecting the null hypothesis. If , do not reject the null hypothesis. The difference is not significant.
T Test for a Mean The t test is a statistical test for the mean of a population and is used when the population is normally or approximately normally distributed, is unknown, and n<30. The degrees of freedom are d.f. = n- 1 The formula for t test is
Assumptions for the t Test for a Mean when is Unknown The sample is a random sample. Either or the population is normally distributed if n<30. Remember that the t test should be used when the population is approximately normally distributed and the population standard deviation is unknown.