# T-statistics, P-Values, and Hypothesis Testing

Consider the following hypotheses test.

Ho: m ³ 80

Ha: m < 80

A sample of 121 provided a sample mean of 77.3. The population standard deviation is known to be 16.5.

a. Compute the value of the test statistic.

b. Determine the p-value; and at 93.7% confidence, test the above hypotheses.

c. Using the critical value approach at 93.7% confidence, test the hypotheses.

#### Solution Preview

...(121)

=-2.7/16.5*11

=-1.8

b. Determine the p-value; and at 93.7% confidence, test the above hypotheses.

The p-value=P(Z<-z)

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