7.2 Hypothesis Testing for the Mean (Large Samples) - PowerPoint PPT Presentation

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7.2 Hypothesis Testing for the Mean (Large Samples). Key Concepts: Hypothesis Testing ( P -value Approach) Critical Values and Rejection Regions Hypothesis Testing (Critical-Value Approach). 7.2 Hypothesis Testing for the Mean (Large Samples).

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7.2 Hypothesis Testing for the Mean (Large Samples)

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7.2 Hypothesis Testing for the Mean (Large Samples)

• Key Concepts:

• Hypothesis Testing (P-value Approach)

• Critical Values and Rejection Regions

• Hypothesis Testing (Critical-Value Approach)

7.2 Hypothesis Testing for the Mean (Large Samples)

• So how do we calculate the P-value of a test?

• Recall: The P-value of a hypothesis test is the probability of obtaining a sample statistic with a value as extreme as or more extreme thanthe one determined from the sample data.

• When we test for one population mean, we use the standardized version of the sample mean as our sample (or test) statistic.

• Practice finding P-values:

#2 p. 389 (left-tailed test)

#6 (two-tailed test)

7.2 Hypothesis Testing for the Mean (Large Samples)

• We are finally ready to conduct a hypothesis test for the mean using P-values! Guidelines are provided on page 381 (Using P-Values for a z-Test for the Mean µ).

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7.2 Hypothesis Testing for the Mean (Large Samples)

• If the P-value of a test is difficult to calculate, we can use what’s known as the critical-value approach.

• A rejection region of the sampling distribution is the range of values for which the null hypothesis is not probable.

• A critical value separates the rejection region from the nonrejection region.

• Practice finding critical values and rejection regions

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#20

7.2 Hypothesis Testing for the Mean (Large Samples)

• How do we decide whether or not to reject the null hypothesis when we’re working with critical values and rejection regions?

• If our test statistic falls within the rejection region, we reject Ho. Otherwise, we do not reject Ho.

• Guidelines are provided on page 386 (Using Rejection Regions for a z-Test for µ).

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